Tronci, Cesare; Gay-Balmaz, François Lagrangian trajectories and closure models in mixed quantum-classical dynamics. (English) Zbl 07789308 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14072, 290-300 (2023). MSC: 81S30 PDFBibTeX XMLCite \textit{C. Tronci} and \textit{F. Gay-Balmaz}, Lect. Notes Comput. Sci. 14072, 290--300 (2023; Zbl 07789308) Full Text: DOI arXiv
Bergold, Paul; Tronci, Cesare Madelung transform and variational asymptotics in Born-Oppenheimer molecular dynamics. (English) Zbl 07789302 Nielsen, Frank (ed.) et al., Geometric science of information. 6th international conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 14072, 231-241 (2023). MSC: 81V55 PDFBibTeX XMLCite \textit{P. Bergold} and \textit{C. Tronci}, Lect. Notes Comput. Sci. 14072, 231--241 (2023; Zbl 07789302) Full Text: DOI arXiv
Barreto, Maria N. F.; Frederico, Gastão S. F.; Vanterler da C. Sousa, José; Nápoles Valdés, Juan E. Calculus of variations and optimal control with generalized derivative. (English) Zbl 07784548 Rocky Mt. J. Math. 53, No. 5, 1337-1370 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49K05 49S05 81Q05 49K20 49J50 PDFBibTeX XMLCite \textit{M. N. F. Barreto} et al., Rocky Mt. J. Math. 53, No. 5, 1337--1370 (2023; Zbl 07784548) Full Text: DOI Link
Dolbeault, Jean; Esteban, Maria J.; Séré, Éric Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators. (English) Zbl 07761493 J. Spectr. Theory 13, No. 2, 491-524 (2023). MSC: 47B25 47A75 49R50 81Q10 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., J. Spectr. Theory 13, No. 2, 491--524 (2023; Zbl 07761493) Full Text: DOI arXiv
Man, Shumin; Gao, Qiang; Zhong, Wanxie High order symmetric algorithms for nonlinear dynamical systems with non-holonomic constraints. (English) Zbl 07704449 Math. Comput. Simul. 212, 524-547 (2023). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{S. Man} et al., Math. Comput. Simul. 212, 524--547 (2023; Zbl 07704449) Full Text: DOI
Grillakis, Manoussos; Margetis, Dionisios; Sorokanich, Stephen Many-body excitations in trapped Bose gas: a non-Hermitian approach. (English) Zbl 1503.35195 Q. Appl. Math. 81, No. 1, 87-126 (2023). MSC: 35Q40 81V73 81Q12 47N20 82C10 35P99 PDFBibTeX XMLCite \textit{M. Grillakis} et al., Q. Appl. Math. 81, No. 1, 87--126 (2023; Zbl 1503.35195) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Séré, Eric Corrigendum to: “On the eigenvalues of operators with gaps. Application to Dirac operators”. (English) Zbl 1509.47007 J. Funct. Anal. 284, No. 1, Article ID 109651, 6 p. (2023). MSC: 47A10 47B25 47A75 49R05 81Q10 65L60 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., J. Funct. Anal. 284, No. 1, Article ID 109651, 6 p. (2023; Zbl 1509.47007) Full Text: DOI
Zhdanov, Dmitry V.; Bondar, Denys I. Joint quantum-classical Hamilton variational principle in the phase space. (English) Zbl 1505.81043 J. Phys. A, Math. Theor. 55, No. 10, Article ID 104001, 13 p. (2022). MSC: 81Q20 81S30 76Y05 PDFBibTeX XMLCite \textit{D. V. Zhdanov} and \textit{D. I. Bondar}, J. Phys. A, Math. Theor. 55, No. 10, Article ID 104001, 13 p. (2022; Zbl 1505.81043) Full Text: DOI arXiv
Nagao, Keiichi; Nielsen, Holger Bech Reality from maximizing overlap in the periodic complex action theory. (English) Zbl 1507.37088 PTEP, Prog. Theor. Exper. Phys. 2022, No. 9, Article ID 091B01, 11 p. (2022). MSC: 37J51 37J46 34L05 81Q30 PDFBibTeX XMLCite \textit{K. Nagao} and \textit{H. B. Nielsen}, PTEP, Prog. Theor. Exper. Phys. 2022, No. 9, Article ID 091B01, 11 p. (2022; Zbl 1507.37088) Full Text: DOI arXiv
Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nosikov, I. A. Librations with large periods in tunneling: efficient calculation and applications to trigonal dimers. (English. Russian original) Zbl 07608928 Theor. Math. Phys. 213, No. 1, 1453-1476 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 163-190 (2022). MSC: 81U26 81Q10 35P15 37K58 82B20 57R67 14D21 PDFBibTeX XMLCite \textit{A. Yu. Anikin} et al., Theor. Math. Phys. 213, No. 1, 1453--1476 (2022; Zbl 07608928); translation from Teor. Mat. Fiz. 213, No. 1, 163--190 (2022) Full Text: DOI
Merad, Hadjer; Merghadi, Faycal; Merad, Ahcene Solution of Sakata-Taketani equation via the Caputo and Riemann-Liouville fractional derivatives. (English) Zbl 07566282 Rep. Math. Phys. 89, No. 3, 359-370 (2022). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{H. Merad} et al., Rep. Math. Phys. 89, No. 3, 359--370 (2022; Zbl 07566282) Full Text: DOI
Laguna, Humberto G.; Salazar, Saúl J. C.; Sagar, Robin P. Information theoretical statistical discrimination measures for electronic densities. (English) Zbl 1500.81085 J. Math. Chem. 60, No. 7, 1422-1444 (2022). MSC: 81V45 62B10 94A15 94A17 28C20 93E24 37A10 PDFBibTeX XMLCite \textit{H. G. Laguna} et al., J. Math. Chem. 60, No. 7, 1422--1444 (2022; Zbl 1500.81085) Full Text: DOI
Harrison, Alan K. A realistic theory of quantum measurement. (English) Zbl 1485.81010 Found. Phys. 52, No. 1, Paper No. 22, 32 p. (2022). MSC: 81P15 81Q70 47G20 58J47 34B10 70H05 35G20 81P16 60K35 00A79 PDFBibTeX XMLCite \textit{A. K. Harrison}, Found. Phys. 52, No. 1, Paper No. 22, 32 p. (2022; Zbl 1485.81010) Full Text: DOI
Seidel, Eliton Popovicz; Arretche, Felipe A pedagogical introduction to the Schwinger variational principle: an application to low energy positron-atom scattering. (English) Zbl 1527.81108 Eur. J. Phys. 42, No. 4, Article ID 045403, 15 p. (2021). MSC: 81U05 81V35 37D35 47A58 81-01 PDFBibTeX XMLCite \textit{E. P. Seidel} and \textit{F. Arretche}, Eur. J. Phys. 42, No. 4, Article ID 045403, 15 p. (2021; Zbl 1527.81108) Full Text: DOI
Heydeman, Matthew; Marcolli, Matilde; Parikh, Sarthak; Saberi, Ingmar Nonarchimedean holographic entropy from networks of perfect tensors. (English) Zbl 1489.83050 Adv. Theor. Math. Phys. 25, No. 3, 591-721 (2021). MSC: 83C57 81P73 81P45 05C05 14H42 83E05 35J86 81P40 PDFBibTeX XMLCite \textit{M. Heydeman} et al., Adv. Theor. Math. Phys. 25, No. 3, 591--721 (2021; Zbl 1489.83050) Full Text: DOI arXiv
Chen, Chong-Bin; Soda, Jiro Anisotropic hyperbolic inflation. (English) Zbl 1486.83131 J. Cosmol. Astropart. Phys. 2021, No. 9, Paper No. 26, 21 p. (2021). MSC: 83E05 83E30 83F05 81V22 35L85 35B41 83C55 76E20 74E20 PDFBibTeX XMLCite \textit{C.-B. Chen} and \textit{J. Soda}, J. Cosmol. Astropart. Phys. 2021, No. 9, Paper No. 26, 21 p. (2021; Zbl 1486.83131) Full Text: DOI arXiv
Doggen, Elmer V. H.; Gornyi, Igor V.; Mirlin, Alexander D.; Polyakov, Dmitry G. Many-body localization in large systems: matrix-product-state approach. (English) Zbl 1486.81172 Ann. Phys. 435, Article ID 168437, 21 p. (2021). MSC: 81V70 PDFBibTeX XMLCite \textit{E. V. H. Doggen} et al., Ann. Phys. 435, Article ID 168437, 21 p. (2021; Zbl 1486.81172) Full Text: DOI arXiv
Esteban, Maria J.; Lewin, Mathieu; Séré, Éric Dirac-Coulomb operators with general charge distribution. II: The lowest eigenvalue. (English) Zbl 1481.35292 Proc. Lond. Math. Soc. (3) 123, No. 4, 345-383 (2021). MSC: 35P05 35A15 49J35 49R05 81Q10 PDFBibTeX XMLCite \textit{M. J. Esteban} et al., Proc. Lond. Math. Soc. (3) 123, No. 4, 345--383 (2021; Zbl 1481.35292) Full Text: DOI arXiv
Wang, Kang-Jia Generalized variational principle and periodic wave solution to the modified equal width-Burgers equation in nonlinear dispersion media. (English) Zbl 07413640 Phys. Lett., A 419, Article ID 127723, 5 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{K.-J. Wang}, Phys. Lett., A 419, Article ID 127723, 5 p. (2021; Zbl 07413640) Full Text: DOI
Wang, Kang-Jia; Wang, Guo-Dong Variational theory and new abundant solutions to the (1+2)-dimensional chiral nonlinear Schrödinger equation in optics. (English) Zbl 07411332 Phys. Lett., A 412, Article ID 127588, 9 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{K.-J. Wang} and \textit{G.-D. Wang}, Phys. Lett., A 412, Article ID 127588, 9 p. (2021; Zbl 07411332) Full Text: DOI
Guo, Ya-Hong; Sun, Hong-Rui; Cui, Na Existence and multiplicity results for the fractional magnetic Schrödinger equations with critical growth. (English) Zbl 1467.81034 J. Math. Phys. 62, No. 6, Article ID 061503, 19 p. (2021). MSC: 81Q05 35R11 81V10 35A01 35P30 PDFBibTeX XMLCite \textit{Y.-H. Guo} et al., J. Math. Phys. 62, No. 6, Article ID 061503, 19 p. (2021; Zbl 1467.81034) Full Text: DOI
Kochkin, V. I. Dynamics of the Friedmann universe with boundary terms added to the action. (English. Russian original) Zbl 1468.83070 Theor. Math. Phys. 206, No. 2, 236-242 (2021); translation from Teor. Mat. Fiz. 206, No. 2, 269-276 (2021). MSC: 83F05 83C05 83C56 83D05 85A40 81V73 PDFBibTeX XMLCite \textit{V. I. Kochkin}, Theor. Math. Phys. 206, No. 2, 236--242 (2021; Zbl 1468.83070); translation from Teor. Mat. Fiz. 206, No. 2, 269--276 (2021) Full Text: DOI
Brasil, Jader E.; Lopes, Artur O.; Mengue, Jairo K.; Moreira, Carlos G. Quantum spin probabilities at positive temperature are Hölder Gibbs probabilities. (English) Zbl 1460.37032 Commun. Contemp. Math. 23, No. 1, Article ID 1950050, 32 p. (2021). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 37D35 37C45 81Q10 81Q35 37A50 PDFBibTeX XMLCite \textit{J. E. Brasil} et al., Commun. Contemp. Math. 23, No. 1, Article ID 1950050, 32 p. (2021; Zbl 1460.37032) Full Text: DOI arXiv
Mahdian, Mahmoud; Yeganeh, H. Davoodi Hybrid quantum variational algorithm for simulating open quantum systems with near-term devices. (English) Zbl 1519.68104 J. Phys. A, Math. Theor. 53, No. 41, Article ID 415301, 13 p. (2020). MSC: 68Q12 81P68 81S22 PDFBibTeX XMLCite \textit{M. Mahdian} and \textit{H. D. Yeganeh}, J. Phys. A, Math. Theor. 53, No. 41, Article ID 415301, 13 p. (2020; Zbl 1519.68104) Full Text: DOI arXiv
Imai, Satoya Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics. (English) Zbl 1457.81017 Int. J. Quantum Inf. 18, No. 6, Article ID 2050030, 20 p. (2020). MSC: 81P20 76B47 81P40 49S05 65N30 PDFBibTeX XMLCite \textit{S. Imai}, Int. J. Quantum Inf. 18, No. 6, Article ID 2050030, 20 p. (2020; Zbl 1457.81017) Full Text: DOI arXiv
Zhou, Jianwen; Zhou, Bianxiang; Wang, Yanning Multiplicity results for variable-order nonlinear fractional magnetic Schrödinger equation with variable growth. (English) Zbl 1447.81121 J. Funct. Spaces 2020, Article ID 7817843, 15 p. (2020). MSC: 81Q05 35Q55 35R11 81V10 35P30 PDFBibTeX XMLCite \textit{J. Zhou} et al., J. Funct. Spaces 2020, Article ID 7817843, 15 p. (2020; Zbl 1447.81121) Full Text: DOI
Shi, Guanghua; Hansen, Frank Variational representations related to Tsallis relative entropy. (English) Zbl 1459.94078 Lett. Math. Phys. 110, No. 8, 2203-2220 (2020). Reviewer: Eszter Gselmann (Debrecen) MSC: 94A17 81P45 47A63 52A41 PDFBibTeX XMLCite \textit{G. Shi} and \textit{F. Hansen}, Lett. Math. Phys. 110, No. 8, 2203--2220 (2020; Zbl 1459.94078) Full Text: DOI arXiv
Gazeau, Jean-Pierre; Koide, Tomoi Uncertainty relation for angle from a quantum-hydrodynamical perspective. (English) Zbl 1434.76153 Ann. Phys. 416, Article ID 168159, 8 p. (2020). MSC: 76Y05 81S25 81S07 PDFBibTeX XMLCite \textit{J.-P. Gazeau} and \textit{T. Koide}, Ann. Phys. 416, Article ID 168159, 8 p. (2020; Zbl 1434.76153) Full Text: DOI arXiv
Breitenbach, Tim; Borzì, Alfio A sequential quadratic Hamiltonian scheme for solving non-smooth quantum control problems with sparsity. (English) Zbl 1480.81063 J. Comput. Appl. Math. 369, Article ID 112583, 13 p. (2020). MSC: 81Q93 65K10 49K15 34H05 70Q05 PDFBibTeX XMLCite \textit{T. Breitenbach} and \textit{A. Borzì}, J. Comput. Appl. Math. 369, Article ID 112583, 13 p. (2020; Zbl 1480.81063) Full Text: DOI
Schimmer, Lukas; Solovej, Jan Philip; Tokus, Sabiha Friedrichs extension and min-max principle for operators with a gap. (English) Zbl 1432.49065 Ann. Henri Poincaré 21, No. 2, 327-357 (2020). MSC: 49R05 49S05 47B25 81Q10 49J35 47A75 PDFBibTeX XMLCite \textit{L. Schimmer} et al., Ann. Henri Poincaré 21, No. 2, 327--357 (2020; Zbl 1432.49065) Full Text: DOI arXiv
Harsha, N. R. Sree A review of the variational methods for solving DC circuits. (English) Zbl 07670092 Eur. J. Phys. 40, No. 3, Article ID 033001, 16 p. (2019). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{N. R. S. Harsha}, Eur. J. Phys. 40, No. 3, Article ID 033001, 16 p. (2019; Zbl 07670092) Full Text: DOI
Dias, Nuno C.; Prata, João N. Uncertainty relations for a non-canonical phase-space noncommutative algebra. (English) Zbl 1509.81590 J. Phys. A, Math. Theor. 52, No. 22, Article ID 225203, 32 p. (2019). MSC: 81T75 81R60 46L87 PDFBibTeX XMLCite \textit{N. C. Dias} and \textit{J. N. Prata}, J. Phys. A, Math. Theor. 52, No. 22, Article ID 225203, 32 p. (2019; Zbl 1509.81590) Full Text: DOI arXiv
King, S. D.; Nijhoff, F. W. Quantum variational principle and quantum multiform structure: the case of quadratic Lagrangians. (English) Zbl 1441.81100 Nucl. Phys., B 947, Article ID 114686, 39 p. (2019). Reviewer: Panagiotis Koumantos (Athens) MSC: 81Q30 46T12 70S05 81Q80 81S40 35Q53 37K10 37K60 PDFBibTeX XMLCite \textit{S. D. King} and \textit{F. W. Nijhoff}, Nucl. Phys., B 947, Article ID 114686, 39 p. (2019; Zbl 1441.81100) Full Text: DOI arXiv
Wang, Kang-Le; He, Chun-Hui A remark on Wang’s fractal variational principle. (English) Zbl 1434.35267 Fractals 27, No. 8, Article ID 1950134, 3 p. (2019). MSC: 35R02 81Q35 PDFBibTeX XMLCite \textit{K.-L. Wang} and \textit{C.-H. He}, Fractals 27, No. 8, Article ID 1950134, 3 p. (2019; Zbl 1434.35267) Full Text: DOI
Chanda, Sumanto; Gibbons, G. W.; Guha, Partha; Maraner, Paolo; Werner, Marcus C. Jacobi-Maupertuis Randers-Finsler metric for curved spaces and the gravitational magnetoelectric effect. (English) Zbl 1496.83004 J. Math. Phys. 60, No. 12, 122501, 9 p. (2019). MSC: 83C10 81T20 53B20 53B40 53C60 PDFBibTeX XMLCite \textit{S. Chanda} et al., J. Math. Phys. 60, No. 12, 122501, 9 p. (2019; Zbl 1496.83004) Full Text: DOI arXiv
Paeckel, Sebastian; Köhler, Thomas; Swoboda, Andreas; Manmana, Salvatore R.; Schollwöck, Ulrich; Hubig, Claudius Time-evolution methods for matrix-product states. (English) Zbl 1433.81170 Ann. Phys. 411, Article ID 167998, 80 p. (2019). Reviewer: Eric Stachura (Marietta) MSC: 81V70 82B20 81Q05 35Q41 35A15 PDFBibTeX XMLCite \textit{S. Paeckel} et al., Ann. Phys. 411, Article ID 167998, 80 p. (2019; Zbl 1433.81170) Full Text: DOI arXiv
Weis, Stephan A variational principle for ground spaces. (English) Zbl 1441.81017 Rep. Math. Phys. 82, No. 3, 317-336 (2018). MSC: 81P16 46L60 PDFBibTeX XMLCite \textit{S. Weis}, Rep. Math. Phys. 82, No. 3, 317--336 (2018; Zbl 1441.81017) Full Text: DOI arXiv
Lopes, Artur O.; Mengue, Jairo K.; Mohr, Joana; Moreira, Carlos G. Large deviations for quantum spin probabilities at temperature zero. (English) Zbl 1402.37041 Stoch. Dyn. 18, No. 6, Article ID 1850044, 26 p. (2018). MSC: 37D35 81Q10 81Q35 PDFBibTeX XMLCite \textit{A. O. Lopes} et al., Stoch. Dyn. 18, No. 6, Article ID 1850044, 26 p. (2018; Zbl 1402.37041) Full Text: DOI arXiv
Tian, X.; Zhang, Y. Noether’s theorem and its inverse of Birkhoffian system in event space based on Herglotz variational problem. (English) Zbl 1431.70013 Int. J. Theor. Phys. 57, No. 3, 887-897 (2018). MSC: 70S10 49K10 37J51 70H30 81Q80 PDFBibTeX XMLCite \textit{X. Tian} and \textit{Y. Zhang}, Int. J. Theor. Phys. 57, No. 3, 887--897 (2018; Zbl 1431.70013) Full Text: DOI
Lechner, Kurt Classical electrodynamics. A modern perspective. (English) Zbl 1450.78001 Unitext for Physics. Cham: Springer (ISBN 978-3-319-91808-2/hbk; 978-3-319-91809-9/ebook). xix, 688 p. (2018). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 78-01 78A25 78A40 78A35 78A45 78M30 83A05 81V45 35Q60 35Q41 00A79 PDFBibTeX XMLCite \textit{K. Lechner}, Classical electrodynamics. A modern perspective. Cham: Springer (2018; Zbl 1450.78001) Full Text: DOI
Shi, Tao; Demler, Eugene; Ignacio Cirac, J. Variational study of fermionic and bosonic systems with non-Gaussian states: Theory and applications. (English) Zbl 1384.81152 Ann. Phys. 390, 245-302 (2018). MSC: 81V70 49S05 PDFBibTeX XMLCite \textit{T. Shi} et al., Ann. Phys. 390, 245--302 (2018; Zbl 1384.81152) Full Text: DOI arXiv
Ohta, Katsuhisa Constraints in the variational principle for stationary states. (English) Zbl 1386.81022 J. Math. Chem. 56, No. 3, 813-824 (2018). MSC: 81P16 PDFBibTeX XMLCite \textit{K. Ohta}, J. Math. Chem. 56, No. 3, 813--824 (2018; Zbl 1386.81022) Full Text: DOI Link
Mihalcea, Bogdan M. Squeezed coherent states of motion for ions confined in quadrupole and octupole ion traps. (English) Zbl 1382.81117 Ann. Phys. 388, 100-113 (2018). MSC: 81R30 PDFBibTeX XMLCite \textit{B. M. Mihalcea}, Ann. Phys. 388, 100--113 (2018; Zbl 1382.81117) Full Text: DOI arXiv
Werther, Michael; Grossmann, Frank Including temperature in a wavefunction description of the dynamics of the quantum Rabi model. (English) Zbl 1387.81261 J. Phys. A, Math. Theor. 51, No. 1, Article ID 014001, 21 p. (2018). MSC: 81T10 81T28 PDFBibTeX XMLCite \textit{M. Werther} and \textit{F. Grossmann}, J. Phys. A, Math. Theor. 51, No. 1, Article ID 014001, 21 p. (2018; Zbl 1387.81261) Full Text: DOI arXiv
Griesemer, Marcel On the dynamics of polarons in the strong-coupling limit. (English) Zbl 1377.81264 Rev. Math. Phys. 29, No. 10, Article ID 1750030, 21 p. (2017). MSC: 81V80 35Q55 82D25 82D20 PDFBibTeX XMLCite \textit{M. Griesemer}, Rev. Math. Phys. 29, No. 10, Article ID 1750030, 21 p. (2017; Zbl 1377.81264) Full Text: DOI arXiv
Finster, Felix; Grotz, Andreas On the initial value problem for causal variational principles. (English) Zbl 1365.49044 J. Reine Angew. Math. 725, 115-141 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 49R05 58C35 81R12 PDFBibTeX XMLCite \textit{F. Finster} and \textit{A. Grotz}, J. Reine Angew. Math. 725, 115--141 (2017; Zbl 1365.49044) Full Text: DOI arXiv
Müller, David Minimax principles, Hardy-Dirac inequalities, and operator cores for two and three dimensional Coulomb-Dirac operators. (English) Zbl 1350.49074 Doc. Math. 21, 1151-1169 (2016). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49R05 49J35 81Q10 PDFBibTeX XMLCite \textit{D. Müller}, Doc. Math. 21, 1151--1169 (2016; Zbl 1350.49074) Full Text: arXiv EMIS
Balian, R.; Vénéroni, M. Correlation functions from a unified variational principle: trial Lie groups. (English) Zbl 1343.81250 Ann. Phys. 362, 838-883 (2015). MSC: 81V70 82C10 82B10 70H30 22E70 17B81 PDFBibTeX XMLCite \textit{R. Balian} and \textit{M. Vénéroni}, Ann. Phys. 362, 838--883 (2015; Zbl 1343.81250) Full Text: DOI arXiv
Morozov, Sergey; Müller, David On the minimax principle for Coulomb-Dirac operators. (English) Zbl 1320.49032 Math. Z. 280, No. 3-4, 733-747 (2015). MSC: 49R05 49J35 49K35 47A75 81Q10 46N50 PDFBibTeX XMLCite \textit{S. Morozov} and \textit{D. Müller}, Math. Z. 280, No. 3--4, 733--747 (2015; Zbl 1320.49032) Full Text: DOI arXiv
Jakubský, Vít; Krejčiřík, David Qualitative analysis of trapped Dirac fermions in graphene. (English) Zbl 1343.82073 Ann. Phys. 349, 268-287 (2014). MSC: 82D80 81Q05 35Q41 PDFBibTeX XMLCite \textit{V. Jakubský} and \textit{D. Krejčiřík}, Ann. Phys. 349, 268--287 (2014; Zbl 1343.82073) Full Text: DOI arXiv
Lee, Kang-Soo; Fischer, Uwe R. Truncated many-body dynamics of interacting bosons: a variational principle with error monitoring. (English) Zbl 1304.81165 Int. J. Mod. Phys. B 28, No. 30, Article ID 1550021, 21 p. (2014). MSC: 81V70 81P40 49S05 PDFBibTeX XMLCite \textit{K.-S. Lee} and \textit{U. R. Fischer}, Int. J. Mod. Phys. B 28, No. 30, Article ID 1550021, 21 p. (2014; Zbl 1304.81165) Full Text: DOI arXiv
Szabados, Ágnes; Tóth, Zsuzsanna Löwdin’s bracketing function revisited. (English) Zbl 1300.81042 J. Math. Chem. 52, No. 8, 2210-2221 (2014). MSC: 81Q10 81V45 81V10 49S05 47A10 PDFBibTeX XMLCite \textit{Á. Szabados} and \textit{Z. Tóth}, J. Math. Chem. 52, No. 8, 2210--2221 (2014; Zbl 1300.81042) Full Text: DOI
Bach, Volker; Breteaux, Sébastien; Knörr, Hans Konrad; Menge, Edmund Generalization of Lieb’s variational principle to Bogoliubov-Hartree-Fock theory. (English) Zbl 1295.81146 J. Math. Phys. 55, No. 1, 012101, 22 p. (2014). Reviewer: Paninjukunnath Achuthan (Kerala) MSC: 81V70 81V55 49S05 PDFBibTeX XMLCite \textit{V. Bach} et al., J. Math. Phys. 55, No. 1, 012101, 22 p. (2014; Zbl 1295.81146) Full Text: DOI
Dast, D.; Haag, D.; Cartarius, H.; Wunner, G.; Eichler, R.; Main, J. A Bose-Einstein condensate in a \(\mathscr{PT}\) symmetric double well. (English) Zbl 1338.81428 Fortschr. Phys. 61, No. 2-3, 124-139 (2013). MSC: 81V70 81Q05 35Q55 81Q12 82B26 81R05 49S05 35B35 PDFBibTeX XMLCite \textit{D. Dast} et al., Fortschr. Phys. 61, No. 2--3, 124--139 (2013; Zbl 1338.81428) Full Text: DOI
Pedram, Pouria Anharmonic oscillator and the optimized basis expansion. (English) Zbl 06447272 Appl. Math. Comput. 219, No. 9, 4655-4666 (2013). MSC: 65-XX 81-XX PDFBibTeX XMLCite \textit{P. Pedram}, Appl. Math. Comput. 219, No. 9, 4655--4666 (2013; Zbl 06447272) Full Text: DOI arXiv
Kereselidze, T.; Machavariani, Z. S. Application of variational principle to scattering problems. (English. Russian original) Zbl 1287.78005 J. Math. Sci., New York 195, No. 4, 473-480 (2013); translation from Sovrem. Mat. Prilozh. 83 (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78A45 78M30 82D10 81V45 78A35 PDFBibTeX XMLCite \textit{T. Kereselidze} and \textit{Z. S. Machavariani}, J. Math. Sci., New York 195, No. 4, 473--480 (2013; Zbl 1287.78005); translation from Sovrem. Mat. Prilozh. 83 (2012) Full Text: DOI
Trutnev, Yu. A.; Shagaliev, R. M.; Evdokimov, V. V.; Bochkov, A. I. Participation of V. S. Vladimirov in work on the USSR atomic project: a significant milestone in the development of the foundations of mathematical modeling of the processes of neutron physics. (English. Russian original) Zbl 1287.82028 Theor. Math. Phys. 174, No. 2, 173-177 (2013); translation from Teor. Mat. Fiz. 174, No. 3, 202-207 (2013). Reviewer: Iván Abonyi (Budapest) MSC: 82D75 81-03 01A60 81V35 65M25 PDFBibTeX XMLCite \textit{Yu. A. Trutnev} et al., Theor. Math. Phys. 174, No. 2, 173--177 (2013; Zbl 1287.82028); translation from Teor. Mat. Fiz. 174, No. 3, 202--207 (2013) Full Text: DOI
Magnasco, Valerio Elementary molecular quantum mechanics. Mathematical methods and applications. 2nd ed. (English) Zbl 1318.81002 Amsterdam: Elsevier (ISBN 978-0-444-62647-9/hbk; 978-0-444-62666-0/ebook). xx, 932 p. (2013). Reviewer: Dimitar A. Kolev (Sofia) MSC: 81-01 81V55 92E10 81Q05 81Q10 81R05 81P15 PDFBibTeX XMLCite \textit{V. Magnasco}, Elementary molecular quantum mechanics. Mathematical methods and applications. 2nd ed. Amsterdam: Elsevier (2013; Zbl 1318.81002) Full Text: Link
Tagirov, E. A. Unfinished history and paradoxes of quantum potential. II: Relativistic point of view. (English) Zbl 1272.83007 Gravit. Cosmol. 19, No. 1, 10-18 (2013). MSC: 83A05 81S10 83C05 81S40 83C10 81T20 PDFBibTeX XMLCite \textit{E. A. Tagirov}, Gravit. Cosmol. 19, No. 1, 10--18 (2013; Zbl 1272.83007) Full Text: DOI arXiv
Stefanucci, Gianluca; van Leeuwen, Robert Nonequilibrium many-body theory of quantum systems. A modern introduction. (English) Zbl 1276.82002 Cambridge: Cambridge University Press (ISBN 978-0-521-76617-3/hbk; 978-1-107-35207-0/ebook). xvii, 600 p. (2013). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82-01 82Cxx 81-01 81V70 PDFBibTeX XMLCite \textit{G. Stefanucci} and \textit{R. van Leeuwen}, Nonequilibrium many-body theory of quantum systems. A modern introduction. Cambridge: Cambridge University Press (2013; Zbl 1276.82002) Full Text: DOI
Griesemer, M.; Hantsch, F.; Wellig, D. On the magnetic Pekar functional and the existence of bipolarons. (English) Zbl 1250.49042 Rev. Math. Phys. 24, No. 6, 1250014, 13 p. (2012). MSC: 49S05 49J20 35Q40 81V70 PDFBibTeX XMLCite \textit{M. Griesemer} et al., Rev. Math. Phys. 24, No. 6, 1250014, 13 p. (2012; Zbl 1250.49042) Full Text: DOI arXiv
Nolting, Wolfgang Basic course on theoretical physics 5/2. Quantum mechanics – methods and applications. 7th updated ed. (Grundkurs Theoretische Physik 5/2. Quantenmechanik – Methoden und Anwendungen.) (German) Zbl 1239.00038 Springer-Lehrbuch. Heidelberg: Springer (ISBN 978-3-642-24420-9/pbk; 978-3-642-24421-6/ebook). xiv, 588 p. (2012). Reviewer: Gert Roepstorff (Aachen) MSC: 00A79 81-01 81Q05 81R05 81Q15 97M50 PDFBibTeX XMLCite \textit{W. Nolting}, Grundkurs Theoretische Physik 5/2. Quantenmechanik -- Methoden und Anwendungen. 7th updated ed. Heidelberg: Springer (2012; Zbl 1239.00038) Full Text: DOI
Ghoshal, Arijit; Ho, Y. K. Two-electron system in the field of generalized screened potential. (English) Zbl 1263.81308 Mod. Phys. Lett. B 25, No. 19, 1619-1629 (2011). MSC: 81V45 81Q05 81Q10 49S05 PDFBibTeX XMLCite \textit{A. Ghoshal} and \textit{Y. K. Ho}, Mod. Phys. Lett. B 25, No. 19, 1619--1629 (2011; Zbl 1263.81308) Full Text: DOI
Oulne, M. Variation and series approach to the Thomas-Fermi equation. (English) Zbl 1227.81264 Appl. Math. Comput. 218, No. 2, 303-307 (2011). MSC: 81V45 34A34 PDFBibTeX XMLCite \textit{M. Oulne}, Appl. Math. Comput. 218, No. 2, 303--307 (2011; Zbl 1227.81264) Full Text: DOI arXiv
Mao, Linfan Combinatorial geometry. With applications to field theory. 2nd ed. (English) Zbl 1479.53001 Graduate Textbook in Mathematics. Columbus, OH: The Educational Publisher (ISBN 978-1-59973-155-1/pbk). xiii, 484 p. (2011). MSC: 53-01 05C99 05-01 53C99 57R19 52B70 81T13 83C50 PDFBibTeX XMLCite \textit{L. Mao}, Combinatorial geometry. With applications to field theory. 2nd ed. Columbus, OH: The Educational Publisher (2011; Zbl 1479.53001)
Liu, Xiangqing; Huang, Yisheng; Liu, Jiaquan Sign-changing solutions for an asymptotically linear Schrödinger equation with deepening potential well. (English) Zbl 1221.35114 Adv. Differ. Equ. 16, No. 1-2, 1-30 (2011). Reviewer: Mihai Pascu (Bucureşti) MSC: 35J10 35Q55 35J20 35J60 81Q05 PDFBibTeX XMLCite \textit{X. Liu} et al., Adv. Differ. Equ. 16, No. 1--2, 1--30 (2011; Zbl 1221.35114)
Mobarek, O. H.; Alzahrani, A. Z. A Z-dependent variational solution of Thomas-Fermi-Dirac equation. (English) Zbl 1206.81152 Int. J. Math. Model. Numer. Optim. 2, No. 1, 69-84 (2011). MSC: 81V45 81S05 PDFBibTeX XMLCite \textit{O. H. Mobarek} and \textit{A. Z. Alzahrani}, Int. J. Math. Model. Numer. Optim. 2, No. 1, 69--84 (2011; Zbl 1206.81152) Full Text: DOI
de Melo, C. A. M.; Pimentel, B. M. Variational formulation for quaternionic quantum mechanics. (English) Zbl 1202.81064 Adv. Appl. Clifford Algebr. 20, No. 3-4, 745-763 (2010). MSC: 81Q05 81S05 49S05 15B33 46S10 11R52 PDFBibTeX XMLCite \textit{C. A. M. de Melo} and \textit{B. M. Pimentel}, Adv. Appl. Clifford Algebr. 20, No. 3--4, 745--763 (2010; Zbl 1202.81064) Full Text: DOI arXiv
Cohen-Tannoudji, Claude; Diu, Bernard; Laloë, Frank Quantum mechanics. Vol. 2. Translated from the French original by Joachim v. Streubel and Jochen Balla. 4th revised ed. (Quantenmechanik. Band 2. Übersetzt aus dem Französischen von Joachim v. Streubel und Jochen Balla.) (German) Zbl 1206.81001 Berlin: de Gruyter (ISBN 978-3-11-022460-3/hbk). xiv, 657 p. (2010). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 81-01 81Q05 81Q15 81V45 81V70 81R05 81U05 81S05 70H40 PDFBibTeX XMLCite \textit{C. Cohen-Tannoudji} et al., Quantenmechanik. Band 2. Übersetzt aus dem Französischen von Joachim v. Streubel und Jochen Balla. 4th revised ed. Berlin: de Gruyter (2010; Zbl 1206.81001)
Solovej, Jan Philip; Sørensen, Thomas Østergaard; Spitzer, Wolfgang Ludwig Relativistic Scott correction for atoms and molecules. (English) Zbl 1182.81065 Commun. Pure Appl. Math. 63, No. 1, 39-118 (2010). Reviewer: Eugene Kryachko (Liège) MSC: 81V45 81V55 81Q20 70H40 81R30 49S05 PDFBibTeX XMLCite \textit{J. P. Solovej} et al., Commun. Pure Appl. Math. 63, No. 1, 39--118 (2010; Zbl 1182.81065) Full Text: DOI arXiv
Zhong, Hong-Wei; He, Wei-Zhong; He, Xiao-Ying Time-dependent variational approach to dispersion relation of the quantum Klein-Gordon model. (Chinese. English summary) Zbl 1226.81065 J. Guangxi Univ. Technol., Nat. Sci. 20, No. 3, 53-55, 65 (2009). MSC: 81Q05 82D20 74J35 PDFBibTeX XMLCite \textit{H.-W. Zhong} et al., J. Guangxi Univ. Technol., Nat. Sci. 20, No. 3, 53--55, 65 (2009; Zbl 1226.81065)
Finster, Felix; Hoch, Stefan An action principle for the masses of Dirac particles. (English) Zbl 1202.81223 Adv. Theor. Math. Phys. 13, No. 6, 1653-1711 (2009). Reviewer: T. C. Mohan (Dehra Dun) MSC: 81V22 49S05 81T80 PDFBibTeX XMLCite \textit{F. Finster} and \textit{S. Hoch}, Adv. Theor. Math. Phys. 13, No. 6, 1653--1711 (2009; Zbl 1202.81223) Full Text: DOI arXiv Euclid
Szulkin, Andrzej; Weth, Tobias Ground state solutions for some indefinite variational problems. (English) Zbl 1178.35352 J. Funct. Anal. 257, No. 12, 3802-3822 (2009). MSC: 35Q55 81Q10 35A15 49J35 PDFBibTeX XMLCite \textit{A. Szulkin} and \textit{T. Weth}, J. Funct. Anal. 257, No. 12, 3802--3822 (2009; Zbl 1178.35352) Full Text: DOI
Cole, E. A. B. Mathematical and numerical modelling of heterostructure semiconductor devices: From theory to programming. (English) Zbl 1252.82004 London: Springer (ISBN 978-1-84882-936-7/pbk; 978-1-84882-937-4/ebook). xv, 406 p. (2009). Reviewer: Georg Hebermehl (Berlin) MSC: 82-02 81-02 82D37 82C70 82-08 82B80 65M06 65N06 65H10 65F05 65F10 65F15 65K10 65D30 35Q55 35Q41 35Q61 94C05 78A25 78A55 PDFBibTeX XMLCite \textit{E. A. B. Cole}, Mathematical and numerical modelling of heterostructure semiconductor devices: From theory to programming. London: Springer (2009; Zbl 1252.82004) Full Text: DOI
Mao, Linfan Combinatorial geometry. With applications to field theory. (English) Zbl 1225.53001 Ann Arbor, MI: InfoQuest (ISBN 978-1-59973-100-1/pbk). xiv, 481 p. (2009). Reviewer: Youngsik Huh (Seoul) MSC: 53-01 05C99 05-01 53C99 57R19 52B70 81T13 83C50 PDFBibTeX XMLCite \textit{L. Mao}, Combinatorial geometry. With applications to field theory. Ann Arbor, MI: InfoQuest (2009; Zbl 1225.53001)
Atiq, Mahdi; Karamian, Mozafar; Golshani, Mahdi A new way for the extension of quantum theory: Non-Bohmian quantum potentials. (English) Zbl 1162.81304 Found. Phys. 39, No. 1, 33-44 (2009). MSC: 81P05 81P20 PDFBibTeX XMLCite \textit{M. Atiq} et al., Found. Phys. 39, No. 1, 33--44 (2009; Zbl 1162.81304) Full Text: DOI arXiv
Zinn-Justin, J. Functional integrals in physics: the main achievements. (English) Zbl 1178.81175 Janke, Wolfhard (ed.) et al., Path integrals. New trends and perspectives. Proceedings of the 9th international conference, Dresden, Germany, 23–28 September 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-726-4/hbk). 251-260 (2008). MSC: 81T10 81T13 81S40 81T16 49S05 82B27 28C20 PDFBibTeX XMLCite \textit{J. Zinn-Justin}, in: Path integrals. New trends and perspectives. Proceedings of the 9th international conference, Dresden, Germany, 23--28 September 2007. Hackensack, NJ: World Scientific. 251--260 (2008; Zbl 1178.81175)
Chen, Gang Extremum in the Schrödinger variational principle. (Chinese. English summary) Zbl 1174.81315 J. Shandong Univ., Nat. Sci. 43, No. 8, 62-64, 68 (2008). MSC: 81Q05 PDFBibTeX XMLCite \textit{G. Chen}, J. Shandong Univ., Nat. Sci. 43, No. 8, 62--64, 68 (2008; Zbl 1174.81315)
El Hajj, Raymond; Ben Abdallah, Naoufel High density limit of the stationary one dimensional Schrödinger-Poisson system. (English) Zbl 1156.35303 Multiscale Model. Simul. 7, No. 1, 124-146 (2008). MSC: 35A15 35J10 35Q40 46N50 81Q10 PDFBibTeX XMLCite \textit{R. El Hajj} and \textit{N. Ben Abdallah}, Multiscale Model. Simul. 7, No. 1, 124--146 (2008; Zbl 1156.35303) Full Text: DOI arXiv
Pankrashkin, Konstantin Variational principle for Hamiltonians with degenerate bottom. (English) Zbl 1156.81386 Beltita, Ingrid (ed.) et al., Mathematical results in quantum mechanics. Proceedings of the QMath10 conference, Moieciu, Romania, 10–15 September 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-237-5/hbk). 231-240 (2008). MSC: 81Q10 49S05 35J10 PDFBibTeX XMLCite \textit{K. Pankrashkin}, in: Mathematical results in quantum mechanics. Proceedings of the QMath10 conference, Moieciu, Romania, 10--15 September 2007. Hackensack, NJ: World Scientific. 231--240 (2008; Zbl 1156.81386) Full Text: arXiv
Muminov, M. E. Finiteness of the discrete spectrum of the Schrödinger operator of three particles on a lattice. (English. Russian original) Zbl 1150.81005 Theor. Math. Phys. 154, No. 2, 311-318 (2008); translation from Teor. Mat. Fiz. 154, No. 2, 363-371 (2008). MSC: 81Q10 49S05 70F07 35B34 65N06 35J10 PDFBibTeX XMLCite \textit{M. E. Muminov}, Theor. Math. Phys. 154, No. 2, 311--318 (2008; Zbl 1150.81005); translation from Teor. Mat. Fiz. 154, No. 2, 363--371 (2008) Full Text: DOI
Miller, David A. B. Quantum mechanics for scientists and engineers. (English) Zbl 1159.81001 Cambridge: Cambridge University Press (ISBN 978-0-521-89783-9/hbk). xix, 551 p. (2008). Reviewer: Eugene Kryachko (Liège) MSC: 81-01 81P05 81P15 81Q05 81Q15 81V45 81S05 PDFBibTeX XMLCite \textit{D. A. B. Miller}, Quantum mechanics for scientists and engineers. Cambridge: Cambridge University Press (2008; Zbl 1159.81001) Full Text: DOI
Koval’, G. V.; Maslov, V. P. Ultrasecond quantization at temperatures distinct from zero. (English. Russian original) Zbl 1219.81280 Math. Notes 82, No. 1, 47-51 (2007); translation from Mat. Zametki 82, No. 1, 52-57 (2007). MSC: 81V70 82D50 PDFBibTeX XMLCite \textit{G. V. Koval'} and \textit{V. P. Maslov}, Math. Notes 82, No. 1, 47--51 (2007; Zbl 1219.81280); translation from Mat. Zametki 82, No. 1, 52--57 (2007) Full Text: DOI
Borowiec, A.; Fatibene, L.; Francaviglia, M.; Mercadante, S. Covariant Lagrangian formalism for Chern-Simons theories. (English) Zbl 1122.53012 Int. J. Geom. Methods Mod. Phys. 4, No. 2, 277-283 (2007). MSC: 53C07 81T45 PDFBibTeX XMLCite \textit{A. Borowiec} et al., Int. J. Geom. Methods Mod. Phys. 4, No. 2, 277--283 (2007; Zbl 1122.53012) Full Text: DOI arXiv
Finster, Felix The principle of the fermionic projector: an approach for quantum gravity? (English) Zbl 1120.83017 Fauser, Bertfried (ed.) et al., Quantum gravity. Mathematical models and experimental bounds. Papers based on the presentations at the workshop ‘Mathematical and physical aspects of quantum gravity’, Blaubeuren, Germany, July 28th – August 1st, 2005. Basel: Birkhäuser (ISBN 3-7643-7977-4/hbk). 263-281 (2007). MSC: 83C45 81T75 81T45 PDFBibTeX XMLCite \textit{F. Finster}, in: Quantum gravity. Mathematical models and experimental bounds. Papers based on the presentations at the workshop `Mathematical and physical aspects of quantum gravity', Blaubeuren, Germany, July 28th -- August 1st, 2005. Basel: Birkhäuser. 263--281 (2007; Zbl 1120.83017) Full Text: arXiv
Blanc, X. Unique solvability of a system of nonlinear elliptic PDEs arising in solid state physics. (English) Zbl 1220.35138 SIAM J. Math. Anal. 38, No. 4, 1235-1248 (2006). MSC: 35Q40 35J47 35J50 35J60 81V55 82D25 81V70 82B10 PDFBibTeX XMLCite \textit{X. Blanc}, SIAM J. Math. Anal. 38, No. 4, 1235--1248 (2006; Zbl 1220.35138) Full Text: DOI
Cancès, Eric; Le Bris, Claude; Maday, Yvon Mathematical methods in quantum chemistry. An introduction. (Méthodes mathématiques en chimie quantique. Une introduction.) (French) Zbl 1167.81001 Mathématiques & Applications (Berlin) 53. Berlin: Springer (ISBN 3-540-30996-9/pbk). xvi, 409 p. (2006). Reviewer: Eugene Kryachko (Liège) MSC: 81-01 81V55 81V45 81-08 81Q10 81Q15 82B10 82B80 82B30 80A30 81V70 PDFBibTeX XMLCite \textit{E. Cancès} et al., Méthodes mathématiques en chimie quantique. Une introduction. Berlin: Springer (2006; Zbl 1167.81001) Full Text: DOI
Bellet, Benoît A formal approach to weak and strong coupling expansions and its application to the quantum anharmonic oscillator. (English) Zbl 1086.81032 Rep. Math. Phys. 56, No. 3, 351-366 (2005). MSC: 81Q05 81Q15 49S05 PDFBibTeX XMLCite \textit{B. Bellet}, Rep. Math. Phys. 56, No. 3, 351--366 (2005; Zbl 1086.81032) Full Text: DOI
Masujima, Michio Applied mathematical methods in theoretical physics. (English) Zbl 1073.45001 Weinheim: Wiley-VCH (ISBN 3-527-40534-8/hbk). xii, 377 p. (2005). Reviewer: Bogdan Sasu (Timişoara) MSC: 45-01 45N05 45A05 45B05 45D05 45Exx 45Gxx 46-01 47-01 49J22 81Q30 81T13 81T18 00A06 82C70 PDFBibTeX XMLCite \textit{M. Masujima}, Applied mathematical methods in theoretical physics. Weinheim: Wiley-VCH (2005; Zbl 1073.45001)
Cresson, Jacky Non-differentiable variational principles. (English) Zbl 1077.49033 J. Math. Anal. Appl. 307, No. 1, 48-64 (2005). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 49S05 49J40 81Q05 35Q55 PDFBibTeX XMLCite \textit{J. Cresson}, J. Math. Anal. Appl. 307, No. 1, 48--64 (2005; Zbl 1077.49033) Full Text: DOI arXiv
Holland, Peter Computing the wavefunction from trajectories: particle and wave pictures in quantum mechanics and their relation. (English) Zbl 1093.81005 Ann. Phys. 315, No. 2, 505-531 (2005). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 81P05 76Y05 81P20 PDFBibTeX XMLCite \textit{P. Holland}, Ann. Phys. 315, No. 2, 505--531 (2005; Zbl 1093.81005) Full Text: DOI arXiv
D’yachkov, P. N.; Kuznetsov, B. S. Method of linear adjoint spherical waves for spherical clusters. (Russian) Zbl 1050.81076 Dokl. Akad. Nauk, Ross. Akad. Nauk 395, No. 1, 59-63 (2004). Reviewer: Andrei Zemskov (Moskva) MSC: 81V55 82B20 81Q15 49S05 PDFBibTeX XMLCite \textit{P. N. D'yachkov} and \textit{B. S. Kuznetsov}, Dokl. Akad. Nauk, Ross. Akad. Nauk 395, No. 1, 59--63 (2004; Zbl 1050.81076)
Jackson, Russell K.; Jones, Christopher K. R. T.; Zharnitsky, Vadim Dispersion-managed solitons via an averaged variational principle. (English) Zbl 1047.65084 Physica D 190, No. 1-2, 63-77 (2004). MSC: 65M60 35Q51 35Q55 35Q40 81Q05 PDFBibTeX XMLCite \textit{R. K. Jackson} et al., Physica D 190, No. 1--2, 63--77 (2004; Zbl 1047.65084) Full Text: DOI
DeWitt, Bryce The global approach to quantum field theory. In 2 vols. (English) Zbl 1044.81001 International Series of Monographs on Physics 114. Oxford: Oxford University Press (ISBN 0-19-851093-4/hbk). xxxi, 1042 p. (2003). Reviewer: Michael Keyl (Pavia) MSC: 81-02 81Txx 81S40 83C47 58D30 58J90 PDFBibTeX XMLCite \textit{B. DeWitt}, The global approach to quantum field theory. In 2 vols. Oxford: Oxford University Press (2003; Zbl 1044.81001)
Calude, Cristian S.; Pavlov, Boris The Poincaré-Hardy inequality on the complement of a Cantor set. (English) Zbl 1066.26009 Alpay, Daniel et al., Interpolation theory, systems theory and related topics. The Harry Dym anniversary volume. Basel: Birkhäuser (ISBN 3-7643-6762-8/hbk). Oper. Theory, Adv. Appl. 134, 188-208 (2002). MSC: 26D10 35J20 46E35 81Q10 PDFBibTeX XMLCite \textit{C. S. Calude} and \textit{B. Pavlov}, in: Interpolation theory, systems theory and related topics. The Harry Dym anniversary volume. Basel: Birkhäuser. 188--208 (2002; Zbl 1066.26009) Full Text: DOI
Karl, G.; Novikov, V. A. New variational principles in classical and semiclassical mechanics. (English) Zbl 1026.81016 Olshanetsky, M. et al., Multiple facets of quantization and supersymmetry. Michael Marinov memorial volume. Singapore: World Scientific. 176-183 (2002). MSC: 81Q20 70G75 49S05 PDFBibTeX XMLCite \textit{G. Karl} and \textit{V. A. Novikov}, in: Multiple facets of quantization and supersymmetry. Michael Marinov memorial volume. Singapore: World Scientific. 176--183 (2002; Zbl 1026.81016) Full Text: arXiv
Cassam-Chenaï, P. Frequently asked questions on “Some fundamental problems with zero flux partitioning of electron densities”. (English) Zbl 0997.81617 J. Math. Chem. 31, No. 2, 145-153 (2002). MSC: 81V55 PDFBibTeX XMLCite \textit{P. Cassam-Chenaï}, J. Math. Chem. 31, No. 2, 145--153 (2002; Zbl 0997.81617) Full Text: DOI
Liu, Kefeng Mathematical results inspired by physics. (English) Zbl 1003.58023 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press. 457-466 (2002). MSC: 58J26 58D30 57R91 81T13 81T30 58J35 58E15 32Q25 14J32 PDFBibTeX XMLCite \textit{K. Liu}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 457--466 (2002; Zbl 1003.58023) Full Text: arXiv
Klein, Abraham; Dreizler, Reiner M. Extension of Kohn-Sham theory to excited states by means of an off-diagonal density array. (English) Zbl 1025.81054 J. Phys. A, Math. Gen. 35, No. 11, 2685-2702 (2002). Reviewer: Farruh Mukhamedov (Tashkent) MSC: 81V70 PDFBibTeX XMLCite \textit{A. Klein} and \textit{R. M. Dreizler}, J. Phys. A, Math. Gen. 35, No. 11, 2685--2702 (2002; Zbl 1025.81054) Full Text: DOI arXiv
Park, Mu-In The Hamiltonian dynamics of bounded spacetime and black hole entropy: the canonical method. (English) Zbl 0995.83033 Nucl. Phys., B 634, No. 1-2, 339-369 (2002). MSC: 83C57 83C45 81T40 PDFBibTeX XMLCite \textit{M.-I. Park}, Nucl. Phys., B 634, No. 1--2, 339--369 (2002; Zbl 0995.83033) Full Text: DOI arXiv