Ługiewicz, Piotr; Jakóbczyk, Lech; Frydryszak, Andrzej Properties of states on Weyl algebra with variable multiplication law. (English) Zbl 07326369 J. Math. Phys. 62, No. 2, 023502, 12 p. (2021). MSC: 81R15 81S05 81S08 46L60 46L30 81P16 53D22 PDF BibTeX XML Cite \textit{P. Ługiewicz} et al., J. Math. Phys. 62, No. 2, 023502, 12 p. (2021; Zbl 07326369) Full Text: DOI
Martynchuk, N.; Broer, H. W.; Efstathiou, K. Recent advances in the monodromy theory of integrable Hamiltonian systems. (English) Zbl 07298852 Indag. Math., New Ser. 32, No. 1, 193-223 (2021). MSC: 37J30 37J35 81S08 81S10 81S05 PDF BibTeX XML Cite \textit{N. Martynchuk} et al., Indag. Math., New Ser. 32, No. 1, 193--223 (2021; Zbl 07298852) Full Text: DOI
van Neerven, Jan; Portal, Pierre The Weyl calculus for group generators satisfying the canonical commutation relations. (English) Zbl 07259978 J. Oper. Theory 83, No. 2, 253-298 (2020). Reviewer: Heinrich Hering (Rockenberg) MSC: 47A60 35S05 47A13 47D03 47G30 81S05 PDF BibTeX XML Cite \textit{J. van Neerven} and \textit{P. Portal}, J. Oper. Theory 83, No. 2, 253--298 (2020; Zbl 07259978) Full Text: DOI
Buchholz, Detlev; Fredenhagen, Klaus Classical dynamics, arrow of time, and genesis of the Heisenberg commutation relations. (English) Zbl 1447.81023 Expo. Math. 38, No. 2, 150-167 (2020). MSC: 81P16 81P15 81Q10 81S05 81S08 81S22 46L05 70H03 PDF BibTeX XML Cite \textit{D. Buchholz} and \textit{K. Fredenhagen}, Expo. Math. 38, No. 2, 150--167 (2020; Zbl 1447.81023) Full Text: DOI
Gazeau, Jean-Pierre; Koide, Tomoi; Murenzi, Romain 2-D covariant affine integral quantization(s). (English) Zbl 1444.81020 Adv. Oper. Theory 5, No. 3, 901-935 (2020). MSC: 81R05 81R30 81S05 81S10 81S08 81S30 81Q20 PDF BibTeX XML Cite \textit{J.-P. Gazeau} et al., Adv. Oper. Theory 5, No. 3, 901--935 (2020; Zbl 1444.81020) Full Text: DOI
Holevo, Aleksandr S. On conditions for an operator to be in the class \(\mathscr{S}_p \). (English. Russian original) Zbl 1444.47035 Russ. Math. Surv. 75, No. 1, 193-195 (2020); translation from Usp. Mat. Nauk 75, No. 1, 199-200 (2020). Reviewer: Roman V. Romanov (St. Petersburg) MSC: 47B10 47B06 81P45 PDF BibTeX XML Cite \textit{A. S. Holevo}, Russ. Math. Surv. 75, No. 1, 193--195 (2020; Zbl 1444.47035); translation from Usp. Mat. Nauk 75, No. 1, 199--200 (2020) Full Text: DOI
Arai, Asao Singular Bogoliubov transformations and inequivalent representations of canonical commutation relations. (English) Zbl 07154967 Rev. Math. Phys. 31, No. 8, Article ID 1950026, 20 p. (2019). MSC: 47L60 PDF BibTeX XML Cite \textit{A. Arai}, Rev. Math. Phys. 31, No. 8, Article ID 1950026, 20 p. (2019; Zbl 07154967) Full Text: DOI
Sanyal, Abhik Kumar Degenerate Hamiltonian operator in higher-order canonical gravity – the problem and a remedy. (English) Zbl 1427.83074 Ann. Phys. 411, Article ID 167971, 33 p. (2019). MSC: 83D05 83C45 81S05 PDF BibTeX XML Cite \textit{A. K. Sanyal}, Ann. Phys. 411, Article ID 167971, 33 p. (2019; Zbl 1427.83074) Full Text: DOI
Jaradat, Emad K. Canonical quantization for fractional complex scalar and vector field. (English) Zbl 1431.35228 Adv. Appl. Discrete Math. 20, No. 1, 89-100 (2019). MSC: 35R11 35A15 81S05 PDF BibTeX XML Cite \textit{E. K. Jaradat}, Adv. Appl. Discrete Math. 20, No. 1, 89--100 (2019; Zbl 1431.35228) Full Text: DOI
Amooshahi, Majid Canonical relativistic formulation to calculate the Casimir force four-vector on anisotropic conductor polarizable and magnetizable media. (English) Zbl 1422.81157 Mod. Phys. Lett. A 34, No. 30, Article ID 1950247, 33 p. (2019). MSC: 81T55 81S05 PDF BibTeX XML Cite \textit{M. Amooshahi}, Mod. Phys. Lett. A 34, No. 30, Article ID 1950247, 33 p. (2019; Zbl 1422.81157) Full Text: DOI
Qi, De-Jiang; Han, Yi-Wen Fermion’s tunneling from a Kehagias-Sfetsos spacetime based on generalized uncertainty principle. (English) Zbl 1422.81111 Int. J. Theor. Phys. 58, No. 4, 1295-1302 (2019). MSC: 81Q35 81Q05 83C05 81S05 62J10 81U05 83C45 PDF BibTeX XML Cite \textit{D.-J. Qi} and \textit{Y.-W. Han}, Int. J. Theor. Phys. 58, No. 4, 1295--1302 (2019; Zbl 1422.81111) Full Text: DOI
van Neerven, Jan; Portal, Pierre The Weyl calculus with respect to the Gaussian measure and restricted \(L^p\)-\(L^q\) boundedness of the Ornstein-Uhlenbeck semigroup in complex time. (English) Zbl 07062944 Bull. Soc. Math. Fr. 146, No. 4, 691-712 (2018). MSC: 47A60 47D06 47G30 60H07 81S05 PDF BibTeX XML Cite \textit{J. van Neerven} and \textit{P. Portal}, Bull. Soc. Math. Fr. 146, No. 4, 691--712 (2018; Zbl 07062944) Full Text: DOI
Dobrokhotov, S. Yu.; Minenkov, D. S.; Shlosman, S. B. Asymptotics of wave functions of the stationary Schrödinger equation in the Weyl chamber. (English. Russian original) Zbl 1411.81090 Theor. Math. Phys. 197, No. 2, 1626-1634 (2018); translation from Teor. Mat. Fiz. 197, No. 2, 269-278 (2018). MSC: 81Q10 81Q05 35P05 81Q20 53D12 81S05 33C10 PDF BibTeX XML Cite \textit{S. Yu. Dobrokhotov} et al., Theor. Math. Phys. 197, No. 2, 1626--1634 (2018; Zbl 1411.81090); translation from Teor. Mat. Fiz. 197, No. 2, 269--278 (2018) Full Text: DOI
Parthasarathy, K. R. From CCR to Lévy processes: an excursion in quantum probability. (English) Zbl 1404.60067 Expo. Math. 36, No. 3-4, 302-324 (2018). MSC: 60G51 60G05 60J65 81S25 PDF BibTeX XML Cite \textit{K. R. Parthasarathy}, Expo. Math. 36, No. 3--4, 302--324 (2018; Zbl 1404.60067) Full Text: DOI
Falconi, Marco Cylindrical Wigner measures. (English) Zbl 1419.81025 Doc. Math. 23, 1677-1756 (2018). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 81S30 81Q20 81S05 46L30 46L60 PDF BibTeX XML Cite \textit{M. Falconi}, Doc. Math. 23, 1677--1756 (2018; Zbl 1419.81025) Full Text: DOI arXiv
Ding, Zhi-Yong; Liu, Cheng-Cheng; Sun, Wen-Yang; He, Juan; Ye, Liu Quantum coherence of fermionic systems in noninertial frames beyond the single-mode approximation. (English) Zbl 1400.81024 Quantum Inf. Process. 17, No. 10, Paper No. 279, 17 p. (2018). MSC: 81P40 81S05 81S22 81V80 83C05 PDF BibTeX XML Cite \textit{Z.-Y. Ding} et al., Quantum Inf. Process. 17, No. 10, Paper No. 279, 17 p. (2018; Zbl 1400.81024) Full Text: DOI
Astrakhantsev, L.; Diatlyk, O. Massive scalar field theory in the presence of moving mirrors. (English) Zbl 1396.81126 Int. J. Mod. Phys. A 33, No. 21, Article ID 1850126, 33 p. (2018). MSC: 81T10 81S05 81V25 83F05 PDF BibTeX XML Cite \textit{L. Astrakhantsev} and \textit{O. Diatlyk}, Int. J. Mod. Phys. A 33, No. 21, Article ID 1850126, 33 p. (2018; Zbl 1396.81126) Full Text: DOI
Zhang, Yan-Na; Li, Bing-Zhao Novel uncertainty principles for two-sided quaternion linear canonical transform. (English) Zbl 1392.81164 Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 15, 14 p. (2018). MSC: 81S05 62J10 11R52 53D22 53C26 42B10 PDF BibTeX XML Cite \textit{Y.-N. Zhang} and \textit{B.-Z. Li}, Adv. Appl. Clifford Algebr. 28, No. 1, Paper No. 15, 14 p. (2018; Zbl 1392.81164) Full Text: DOI
Cotaescu, Ion I. Canonical quantization of the covariant fields on de Sitter space-times. (English) Zbl 1385.81040 Int. J. Mod. Phys. A 33, No. 8, Article ID 1830007, 36 p. (2018). MSC: 81T70 81S05 81T20 81R20 22E70 22D30 PDF BibTeX XML Cite \textit{I. I. Cotaescu}, Int. J. Mod. Phys. A 33, No. 8, Article ID 1830007, 36 p. (2018; Zbl 1385.81040) Full Text: DOI
Ostrovs’ka, O. V.; Proskurin, D. P.; Yakymiv, R. Ya. On a class of integrable representations of the Wick analogue of CCR. (Ukrainian. English summary) Zbl 1399.46102 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 1, 9-12 (2017). MSC: 46L65 PDF BibTeX XML Cite \textit{O. V. Ostrovs'ka} et al., Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2017, No. 1, 9--12 (2017; Zbl 1399.46102)
Bock, Wolfgang; Capraro, Patrick The Hamiltonian path integral for potentials of the Albeverio Høegh-Krohn class – a white noise approach. (English) Zbl 1384.81064 Rep. Math. Phys. 79, No. 1, 89-109 (2017). MSC: 81S40 PDF BibTeX XML Cite \textit{W. Bock} and \textit{P. Capraro}, Rep. Math. Phys. 79, No. 1, 89--109 (2017; Zbl 1384.81064) Full Text: DOI
Nasr, Z.; Kheirandish, F. System plus reservoir approach to quantum Brownian motion of a rod-like particle. (English) Zbl 1383.81116 Int. J. Theor. Phys. 56, No. 7, 2140-2150 (2017). MSC: 81S05 60J65 81V22 PDF BibTeX XML Cite \textit{Z. Nasr} and \textit{F. Kheirandish}, Int. J. Theor. Phys. 56, No. 7, 2140--2150 (2017; Zbl 1383.81116) Full Text: DOI
Meyer, Ralf Representations of \(^\ast\)-algebras by unbounded operators: C\(^\ast\)-hulls, local-global principle, and induction. (English) Zbl 06836584 Doc. Math. 22, 1375-1466 (2017). MSC: 47L60 46L55 PDF BibTeX XML Cite \textit{R. Meyer}, Doc. Math. 22, 1375--1466 (2017; Zbl 06836584) Full Text: DOI
Lahti, Pekka; Pellonpää, Juha-Pekka; Schultz, Jussi Number and phase: complementarity and joint measurement uncertainties. (English) Zbl 1375.81035 J. Phys. A, Math. Theor. 50, No. 37, Article ID 375301, 15 p. (2017). MSC: 81P15 81V80 81S30 81S05 62J10 PDF BibTeX XML Cite \textit{P. Lahti} et al., J. Phys. A, Math. Theor. 50, No. 37, Article ID 375301, 15 p. (2017; Zbl 1375.81035) Full Text: DOI
Cherroud, Othmane; Yahiaoui, Sid-Ahmed; Bentaiba, Mustapha Generalized Laguerre polynomials with position-dependent effective mass visualized via Wigner’s distribution functions. (English) Zbl 1366.81199 J. Math. Phys. 58, No. 6, 063503, 15 p. (2017). MSC: 81R30 81Q05 33C45 81T80 53D22 81S05 62J10 PDF BibTeX XML Cite \textit{O. Cherroud} et al., J. Math. Phys. 58, No. 6, 063503, 15 p. (2017; Zbl 1366.81199) Full Text: DOI
Arai, Asao Inequivalence of quantum Dirac fields of different masses and a general structure behind it. (English) Zbl 1366.81220 Arai, Asao (ed.) et al., Mathematical quantum field theory and related topics. Proceedings of the conference, Kyushu University, IMI, Fukuoka, Japan, June 6–8, 2016. Fukuoka: Kyushu University, Institute of Mathematics for Industry and Graduate School of Mathematics. MI Lecture Note 72, 12-21 (2017). MSC: 81T10 47L55 PDF BibTeX XML Cite \textit{A. Arai}, MI Lect. Note 72, 12--21 (2017; Zbl 1366.81220)
Jorgensen, Palle; Tian, Feng Infinite-dimensional Lie algebras, representations, Hermitian duality and the operators of stochastic calculus. (English) Zbl 1415.46043 Axioms 5, No. 2, Paper No. 12, 26 p. (2016). MSC: 46L54 46L10 47N30 47A13 PDF BibTeX XML Cite \textit{P. Jorgensen} and \textit{F. Tian}, Axioms 5, No. 2, Paper No. 12, 26 p. (2016; Zbl 1415.46043) Full Text: DOI
Mouchet, Amaury Applications of Noether conservation theorem to Hamiltonian systems. (English) Zbl 1380.70039 Ann. Phys. 372, 260-282 (2016). MSC: 70H05 70H33 70H15 81S05 PDF BibTeX XML Cite \textit{A. Mouchet}, Ann. Phys. 372, 260--282 (2016; Zbl 1380.70039) Full Text: DOI
Tarasov, Vasily E. Exact discrete analogs of canonical commutation and uncertainty relations. (English) Zbl 1360.39006 Mathematics 4, No. 3, Article ID 44, 13 p. (2016). MSC: 39A12 81S05 39A10 PDF BibTeX XML Cite \textit{V. E. Tarasov}, Mathematics 4, No. 3, Article ID 44, 13 p. (2016; Zbl 1360.39006) Full Text: DOI
Sontz, Stephen Bruce Toeplitz quantization for non-commutating symbol spaces such as \(SU_q(2)\). (English) Zbl 1369.47037 Commun. Math. 24, No. 1, 43-69 (2016). MSC: 47B35 81S99 PDF BibTeX XML Cite \textit{S. B. Sontz}, Commun. Math. 24, No. 1, 43--69 (2016; Zbl 1369.47037) Full Text: DOI arXiv
Pomorski, Krzysztof; Bednorz, Adam Justification of the canonical quantization of the Josephson effect and its modifications due to high capacitance energy. (English) Zbl 1343.81143 J. Phys. A, Math. Theor. 49, No. 12, Article ID 125002, 21 p. (2016). MSC: 81S05 81V10 81Q70 82D55 81P15 PDF BibTeX XML Cite \textit{K. Pomorski} and \textit{A. Bednorz}, J. Phys. A, Math. Theor. 49, No. 12, Article ID 125002, 21 p. (2016; Zbl 1343.81143) Full Text: DOI
Arai, Asao A family of inequivalent Weyl representations of canonical commutation relations with applications to quantum field theory. (English) Zbl 1342.81624 Rev. Math. Phys. 28, No. 4, Article ID 1650007, 26 p. (2016). MSC: 81T70 81R12 47L60 46L55 81T05 46L10 46H15 PDF BibTeX XML Cite \textit{A. Arai}, Rev. Math. Phys. 28, No. 4, Article ID 1650007, 26 p. (2016; Zbl 1342.81624) Full Text: DOI
Keyl, M.; Kiukas, J.; Werner, R. F. Schwartz operators. (English) Zbl 1361.47010 Rev. Math. Phys. 28, No. 3, Article ID 1630001, 60 p. (2016). Reviewer: Miyeon Kwon (Platteville) MSC: 47B99 46F99 81Q10 46N50 46L52 PDF BibTeX XML Cite \textit{M. Keyl} et al., Rev. Math. Phys. 28, No. 3, Article ID 1630001, 60 p. (2016; Zbl 1361.47010) Full Text: DOI arXiv
Forger, Michael; Paulino, Daniel V. \(C^{\ast}\)-completions and the DFR-algebra. (English) Zbl 1361.81082 J. Math. Phys. 57, No. 2, 023517, 31 p. (2016). Reviewer: Luca Giorgetti (Roma) MSC: 81S10 46L52 46L65 46L05 81T05 53D55 83C65 81R60 PDF BibTeX XML Cite \textit{M. Forger} and \textit{D. V. Paulino}, J. Math. Phys. 57, No. 2, 023517, 31 p. (2016; Zbl 1361.81082) Full Text: DOI
Srinivas, N.; Shukla, A.; Malik, R. P. \(\mathcal N=2\) supersymmetric harmonic oscillator: basic brackets without canonical conjugate momenta. (English) Zbl 1335.81100 Int. J. Mod. Phys. A 30, No. 30, Article ID 1550166, 12 p. (2015). MSC: 81S05 81Q60 PDF BibTeX XML Cite \textit{N. Srinivas} et al., Int. J. Mod. Phys. A 30, No. 30, Article ID 1550166, 12 p. (2015; Zbl 1335.81100) Full Text: DOI arXiv
Holevo, A. S. Gaussian optimizers and the additivity problem in quantum information theory. (English. Russian original) Zbl 1380.81051 Russ. Math. Surv. 70, No. 2, 331-367 (2015); translation from Usp. Mat. Nauk 70, No. 2, 141-180 (2015). MSC: 81P40 PDF BibTeX XML Cite \textit{A. S. Holevo}, Russ. Math. Surv. 70, No. 2, 331--367 (2015; Zbl 1380.81051); translation from Usp. Mat. Nauk 70, No. 2, 141--180 (2015) Full Text: DOI arXiv
Bracken, Paul Schrödinger equation for a particle on a curved space and superintegrability. (English) Zbl 1326.81083 J. Geom. Symmetry Phys. 38, 25-37 (2015). MSC: 81Q35 81S05 51P05 35P05 81Q80 PDF BibTeX XML Cite \textit{P. Bracken}, J. Geom. Symmetry Phys. 38, 25--37 (2015; Zbl 1326.81083)
Kober, Martin Canonical quantum gravity on noncommutative space-time. (English) Zbl 1320.81098 Int. J. Mod. Phys. A 30, No. 17, Article ID 1550085, 29 p. (2015). MSC: 81V17 81R60 81S05 83E05 81T75 81Q70 PDF BibTeX XML Cite \textit{M. Kober}, Int. J. Mod. Phys. A 30, No. 17, Article ID 1550085, 29 p. (2015; Zbl 1320.81098) Full Text: DOI
Rastegin, Alexey E. Uncertainty relations for general canonically conjugate observables in terms of unified entropies. (English) Zbl 1321.81008 Found. Phys. 45, No. 8, 923-942 (2015). MSC: 81P15 81P45 81S05 94A17 PDF BibTeX XML Cite \textit{A. E. Rastegin}, Found. Phys. 45, No. 8, 923--942 (2015; Zbl 1321.81008) Full Text: DOI
Pitts, J. Brian A first class constraint generates not a gauge transformation, but a bad physical change: The case of electromagnetism. (English) Zbl 1360.70030 Ann. Phys. 351, 382-406 (2014). MSC: 70H45 70S15 70S05 78A25 81S05 PDF BibTeX XML Cite \textit{J. B. Pitts}, Ann. Phys. 351, 382--406 (2014; Zbl 1360.70030) Full Text: DOI arXiv
Zhang, Zhen-Lu; Huang, Yong-Chang Canonical quantization theory of general singular QED system of Fermi field interaction with generally decomposed gauge potential. (English) Zbl 1342.81715 Ann. Phys. 342, 143-157 (2014). MSC: 81V10 81S05 81T13 PDF BibTeX XML Cite \textit{Z.-L. Zhang} and \textit{Y.-C. Huang}, Ann. Phys. 342, 143--157 (2014; Zbl 1342.81715) Full Text: DOI
Xun, D. M.; Liu, Q. H. Can Dirac quantization of constrained systems be fulfilled within the intrinsic geometry? (English) Zbl 1342.81212 Ann. Phys. 341, 132-141 (2014). MSC: 81S05 81S10 81T20 81Q35 PDF BibTeX XML Cite \textit{D. M. Xun} and \textit{Q. H. Liu}, Ann. Phys. 341, 132--141 (2014; Zbl 1342.81212) Full Text: DOI arXiv
Grundling, H. The resolvent algebra of the canonical commutation relations. (English) Zbl 1302.81125 Jensen, Arne (ed.), XVIIth international congress on mathematical physics, Aalborg, Denmark, August 6–11, 2012. Hackensack, NJ: World Scientific (ISBN 978-981-4449-23-6/hbk; 978-981-4449-25-0/ebook). 434-442 (2014). MSC: 81T05 46L60 47A10 81T60 PDF BibTeX XML Cite \textit{H. Grundling}, in: XVIIth international congress on mathematical physics, Aalborg, Denmark, August 6--11, 2012. Hackensack, NJ: World Scientific. 434--442 (2014; Zbl 1302.81125) Full Text: DOI
Anderson, Edward Beables/observables in classical and quantum gravity. (English) Zbl 1301.83001 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 092, 36 p. (2014). MSC: 83-02 83C05 83C45 83D05 70H45 81S05 83E50 81P15 81T30 PDF BibTeX XML Cite \textit{E. Anderson}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 092, 36 p. (2014; Zbl 1301.83001) Full Text: DOI EMIS
Adorno, T. C.; Klauder, J. R. Examples of enhanced quantization: bosons, fermions and anyons. (English) Zbl 1297.81116 Int. J. Mod. Phys. A 29, No. 22, Article ID 1450119, 21 p. (2014). MSC: 81S05 81R30 PDF BibTeX XML Cite \textit{T. C. Adorno} and \textit{J. R. Klauder}, Int. J. Mod. Phys. A 29, No. 22, Article ID 1450119, 21 p. (2014; Zbl 1297.81116) Full Text: DOI arXiv
Godinho, Cresus F. L.; Weberszpil, Jose; Helayël Neto, J. A. Fractional canonical quantization: a parallel with noncommutativity. (English) Zbl 1299.81032 Int. J. Theor. Phys. 53, No. 7, 2379-2395 (2014). MSC: 81S05 81R60 26A33 PDF BibTeX XML Cite \textit{C. F. L. Godinho} et al., Int. J. Theor. Phys. 53, No. 7, 2379--2395 (2014; Zbl 1299.81032) Full Text: DOI arXiv
Kumar, R.; Gupta, S.; Malik, R. P. An interacting gauge field theoretic model for Hodge theory: basic canonical brackets. (English) Zbl 1293.81031 Commun. Theor. Phys. 61, No. 6, 715-728 (2014). MSC: 81T13 81V10 81R15 14C30 81S05 PDF BibTeX XML Cite \textit{R. Kumar} et al., Commun. Theor. Phys. 61, No. 6, 715--728 (2014; Zbl 1293.81031) Full Text: DOI
Buchholz, Detlev The resolvent algebra: ideals and dimension. (English) Zbl 1308.46068 J. Funct. Anal. 266, No. 5, 3286-3302 (2014). MSC: 46L35 46L05 PDF BibTeX XML Cite \textit{D. Buchholz}, J. Funct. Anal. 266, No. 5, 3286--3302 (2014; Zbl 1308.46068) Full Text: DOI arXiv
Xun, D. M.; Liu, Q. H.; Zhu, X. M. Quantum motion on a torus as a submanifold problem in a generalized Dirac’s theory of second-class constraints. (English) Zbl 1348.81279 Ann. Phys. 338, 123-133 (2013). MSC: 81S05 81T20 81Q35 70H45 PDF BibTeX XML Cite \textit{D. M. Xun} et al., Ann. Phys. 338, 123--133 (2013; Zbl 1348.81279) Full Text: DOI arXiv
Błaszak, Maciej; Domański, Ziemowit Canonical quantization of classical mechanics in curvilinear coordinates. Invariant quantization procedure. (English) Zbl 1343.81142 Ann. Phys. 339, 89-108 (2013). MSC: 81S05 53D55 81Q35 53C80 PDF BibTeX XML Cite \textit{M. Błaszak} and \textit{Z. Domański}, Ann. Phys. 339, 89--108 (2013; Zbl 1343.81142) Full Text: DOI arXiv
Nucci, M. C.; Leach, P. G. L. Lie groups and quantum mechanics. (English) Zbl 1308.81117 J. Math. Anal. Appl. 406, No. 1, 219-228 (2013). MSC: 81S05 22E70 81R05 PDF BibTeX XML Cite \textit{M. C. Nucci} and \textit{P. G. L. Leach}, J. Math. Anal. Appl. 406, No. 1, 219--228 (2013; Zbl 1308.81117) Full Text: DOI
Kuwahara, Y.; Nakamura, Y.; Yamanaka, Y. From classical mechanics with doubled degrees of freedom to quantum field theory for nonconservative systems. (English) Zbl 1302.81144 Phys. Lett., A 377, No. 43, 3102-3105 (2013). MSC: 81T28 81S05 82C10 70H25 70S05 PDF BibTeX XML Cite \textit{Y. Kuwahara} et al., Phys. Lett., A 377, No. 43, 3102--3105 (2013; Zbl 1302.81144) Full Text: DOI
Bernatska, Julia; Holod, Petro Harmonic analysis on Lagrangian manifolds of integrable Hamiltonian systems. (English) Zbl 1351.37218 J. Geom. Symmetry Phys. 29, 39-51 (2013). MSC: 37J05 81S05 PDF BibTeX XML Cite \textit{J. Bernatska} and \textit{P. Holod}, J. Geom. Symmetry Phys. 29, 39--51 (2013; Zbl 1351.37218) Full Text: arXiv
Yang, Rongjia; Zhao, Haijun Bound on the speed of computation from generalized Salecker-Wigner inequalities. (English) Zbl 1276.81081 Int. J. Theor. Phys. 52, No. 9, 3162-3166 (2013). MSC: 81S05 81P68 68Q12 83C57 83C05 PDF BibTeX XML Cite \textit{R. Yang} and \textit{H. Zhao}, Int. J. Theor. Phys. 52, No. 9, 3162--3166 (2013; Zbl 1276.81081) Full Text: DOI
Arai, Asao Hilbert space representations of generalized canonical commutation relations. (English) Zbl 1280.46030 J. Math. 2013, Article ID 308392, 7 p. (2013). MSC: 46H15 47A67 PDF BibTeX XML Cite \textit{A. Arai}, J. Math. 2013, Article ID 308392, 7 p. (2013; Zbl 1280.46030) Full Text: DOI
Oksak, A. I. Quantization of stationary Gaussian random processes and their generalizations. (English. Russian original) Zbl 1282.81120 Theor. Math. Phys. 173, No. 3, 1743-1775 (2012); translation from Teor. Mat. Fiz. 173, No. 3, 479-516 (2012); erratum Theor. Math. Phys. 175, No. 1, 570 (2013); translation from Teor. Mat. Fiz. 175, No. 1, 144 (2013). MSC: 81S22 81S25 60G15 60G22 PDF BibTeX XML Cite \textit{A. I. Oksak}, Theor. Math. Phys. 173, No. 3, 1743--1775 (2012; Zbl 1282.81120); translation from Teor. Mat. Fiz. 173, No. 3, 479--516 (2012); erratum Theor. Math. Phys. 175, No. 1, 570 (2012) Full Text: DOI
Kober, Martin Generalized quantization principle in canonical quantum gravity and application to quantum cosmology. (English) Zbl 1260.83041 Int. J. Mod. Phys. A 27, No. 20, Paper No. 1250106, 17 p. (2012). MSC: 83C45 83F05 83E05 81S05 PDF BibTeX XML Cite \textit{M. Kober}, Int. J. Mod. Phys. A 27, No. 20, Paper No. 1250106, 17 p. (2012; Zbl 1260.83041) Full Text: DOI arXiv
Itoh, Minoru Extensions of the tensor algebra and their applications. (English) Zbl 1271.15008 Commun. Algebra 40, No. 9, 3442-3493 (2012). Reviewer: Martin Plešinger (Liberec) MSC: 15A72 15A27 15A15 17B35 20C30 15A66 PDF BibTeX XML Cite \textit{M. Itoh}, Commun. Algebra 40, No. 9, 3442--3493 (2012; Zbl 1271.15008) Full Text: DOI arXiv
Kruglov, S. I. On superluminal fermions within the second derivative equation. (English) Zbl 1247.81119 Int. J. Mod. Phys. A 27, No. 14, 1250081, 17 p. (2012). MSC: 81Q05 81S05 83A05 PDF BibTeX XML Cite \textit{S. I. Kruglov}, Int. J. Mod. Phys. A 27, No. 14, 1250081, 17 p. (2012; Zbl 1247.81119) Full Text: DOI
Tambornino, Johannes Relational observables in gravity: a review. (English) Zbl 1242.83047 SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 017, 30 p. (2012). MSC: 83C45 83C05 81S05 PDF BibTeX XML Cite \textit{J. Tambornino}, SIGMA, Symmetry Integrability Geom. Methods Appl. 8, Paper 017, 30 p. (2012; Zbl 1242.83047) Full Text: DOI arXiv
Chiao, R. Y.; Minter, S. J.; Wegter-McNelly, K.; Martinez, L. A. Quantum incompressibility of a falling Rydberg atom, and a gravitationally-induced charge separation effect in superconducting systems. (English) Zbl 1242.81063 Found. Phys. 42, No. 1, 173-191 (2012). MSC: 81Q05 70H40 83C05 81S05 PDF BibTeX XML Cite \textit{R. Y. Chiao} et al., Found. Phys. 42, No. 1, 173--191 (2012; Zbl 1242.81063) Full Text: DOI
Fan, Feng-Hua; Huang, Yong-Chang Improved canonical quantization method of spinor electrodynamics with singular Lagrangian. (English) Zbl 1247.81596 Int. J. Mod. Phys. A 26, No. 26, 4543-4551 (2011). MSC: 81V10 81T70 81S05 70H45 70S05 PDF BibTeX XML Cite \textit{F.-H. Fan} and \textit{Y.-C. Huang}, Int. J. Mod. Phys. A 26, No. 26, 4543--4551 (2011; Zbl 1247.81596) Full Text: DOI
Bagarello, F. Pseudo-bosons, so far. (English) Zbl 1245.81060 Rep. Math. Phys. 68, No. 2, 175-210 (2011). MSC: 81S05 PDF BibTeX XML Cite \textit{F. Bagarello}, Rep. Math. Phys. 68, No. 2, 175--210 (2011; Zbl 1245.81060) Full Text: DOI arXiv
Stern, A. Relativistic particles on quantum space-time. (English) Zbl 1242.81103 Phys. Lett., A 375, No. 25, 2498-2502 (2011). MSC: 81S05 70H40 81R60 81Q10 PDF BibTeX XML Cite \textit{A. Stern}, Phys. Lett., A 375, No. 25, 2498--2502 (2011; Zbl 1242.81103) Full Text: DOI arXiv
Ramos, Tomás; Rubilar, Guillermo F.; Obukhov, Yuri N. Relativistic analysis of the dielectric Einstein box: Abraham, Minkowski and total energy-momentum tensors. (English) Zbl 1242.81009 Phys. Lett., A 375, No. 16, 1703-1709 (2011). MSC: 81P05 81S05 81V80 83C22 78A25 83C05 PDF BibTeX XML Cite \textit{T. Ramos} et al., Phys. Lett., A 375, No. 16, 1703--1709 (2011; Zbl 1242.81009) Full Text: DOI
Chacón-Acosta, Guillermo; Manrique, Elisa; Dagdug, Leonardo; Morales-Técotl, Hugo A. Statistical thermodynamics of polymer quantum systems. (English) Zbl 1242.82018 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 110, 23 p. (2011). MSC: 82B30 81S05 81Q65 82B20 83C45 PDF BibTeX XML Cite \textit{G. Chacón-Acosta} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 110, 23 p. (2011; Zbl 1242.82018) Full Text: DOI arXiv
Arai, A. On a general form of time operators of a Hamiltonian with purely discrete spectrum. (English) Zbl 1242.81060 Accardi, Luigi (ed.) et al., Quantum bio-informatics IV. From quantum information to bio-informatics, Tokyo, Japan, March 10–13, 2010. Selected papers based on the presentations at the international conference. Hackensack, NJ: World Scientific (ISBN 978-981-4343-75-6/hbk; 978-981-4343-76-3/ebook). QP-PQ: Quantum Probability and White Noise Analysis 28, 41-50 (2011). MSC: 81Q05 81S05 PDF BibTeX XML Cite \textit{A. Arai}, in: Quantum bio-informatics IV. From quantum information to bio-informatics, Tokyo, Japan, March 10--13, 2010. Selected papers based on the presentations at the international conference. Hackensack, NJ: World Scientific. 41--50 (2011; Zbl 1242.81060) Full Text: Link
Kauffmann, Steven Kenneth Unambiguous quantization from the maximum classical correspondence that is self-consistent: the slightly stronger canonical commutation rule Dirac missed. (English) Zbl 1214.81117 Found. Phys. 41, No. 5, 805-819 (2011). MSC: 81S05 81S40 81S30 PDF BibTeX XML Cite \textit{S. K. Kauffmann}, Found. Phys. 41, No. 5, 805--819 (2011; Zbl 1214.81117) Full Text: DOI
Arai, Asao Representations of quantum phase spaces with infinite degrees of freedom. (English) Zbl 1218.81073 Hara, Takashi (ed.) et al., Mathematical quantum field theory and renormalization theory. The Nishijin Plaza of Kyushu University, Fukuoka, Japan, November 26–29, 2009. Dedicated to Izumi Ojima and Kei-ichi Ito on the occasion of their 60th birthday. Fukuoka: Kyushu University, Faculty of Mathematics. COE Lecture Note 30, 92-102 (2011). MSC: 81S30 81S05 81R60 47L60 47N50 PDF BibTeX XML Cite \textit{A. Arai}, COE Lect. Note 30, 92--102 (2011; Zbl 1218.81073)
Vernov, Yu. S.; Mnatsakanova, M. N.; Salinsky, S. G. A new definition of regularity for representation of canonical commutation relations algebras. (English. Russian original) Zbl 1257.81042 Mosc. Univ. Phys. Bull. 65, No. 6, 547-549 (2010); translation from Vest. Mosk. Univ., Ser. III 2010, No. 6, 113-115 (2010). MSC: 81S05 81R15 PDF BibTeX XML Cite \textit{Yu. S. Vernov} et al., Mosc. Univ. Phys. Bull. 65, No. 6, 547--549 (2010; Zbl 1257.81042); translation from Vest. Mosk. Univ., Ser. III 2010, No. 6, 113--115 (2010) Full Text: DOI
Rebhan, Eckhard Theoretical physics: Relativistic quantum mechanics, quantum field theory and theory of elementary particles. (Theoretische Physik: Relativistische Quantenmechanik, Quantenfeldtheorie und Elementarteilchentheorie.) (German) Zbl 1232.81003 Heidelberg: Spektrum Akademischer Verlag (ISBN 978-3-8274-2602-4/pbk; 978-3-8274-2603-1/ebook). xii, 549 p. (2010). Reviewer: Gert Roepstorff (Aachen) MSC: 81-01 81Q05 81R05 81S05 81V10 81V45 PDF BibTeX XML Cite \textit{E. Rebhan}, Theoretische Physik: Relativistische Quantenmechanik, Quantenfeldtheorie und Elementarteilchentheorie. Heidelberg: Spektrum Akademischer Verlag (2010; Zbl 1232.81003) Full Text: DOI
Dereziński, Jan; Gérard, Christian Positive energy quantization of linear dynamics. (English) Zbl 1214.81279 Bożejko, Marek (ed.) et al., Noncommutative harmonic analysis with applications to probability. II: Papers presented at the 11th workshop, Bȩdlewo, Poland, August 17–23, 2008. Warszawa: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-08-9/pbk). Banach Center Publications 89, 75-104 (2010). Reviewer: Akira Asada (Takarazuka) MSC: 81T70 81T05 81S05 81V70 PDF BibTeX XML Cite \textit{J. Dereziński} and \textit{C. Gérard}, Banach Cent. Publ. 89, 75--104 (2010; Zbl 1214.81279) Full Text: DOI
Hiroshima, Fumio; Kuribayashi, Sotaro; Sasaki, Itaru Self-adjoint extensions of momentum operators: application of weak Weyl relations. (English) Zbl 1205.47023 J. Math-for-Ind. 2, No. A, 21-25 (2010). MSC: 47B25 47F05 81Q10 81S05 PDF BibTeX XML Cite \textit{F. Hiroshima} et al., J. Math-for-Ind. 2, No. A, 21--25 (2010; Zbl 1205.47023) Full Text: Link
Deriglazov, A. A. Nonrelativistic spin: á la Berezin – Marinov quantization on a sphere. (English) Zbl 1202.81123 Mod. Phys. Lett. A 25, No. 32, 2769-2777 (2010). MSC: 81S05 81R25 PDF BibTeX XML Cite \textit{A. A. Deriglazov}, Mod. Phys. Lett. A 25, No. 32, 2769--2777 (2010; Zbl 1202.81123) Full Text: DOI
Amooshahi, M.; Amooghorban, E. A quantum dissipative system in an anisotropic non-linear absorbing environment. (English) Zbl 1198.81133 Ann. Phys. 325, No. 9, 1976-1986 (2010). MSC: 81S22 81S05 82B35 81V80 35Q55 PDF BibTeX XML Cite \textit{M. Amooshahi} and \textit{E. Amooghorban}, Ann. Phys. 325, No. 9, 1976--1986 (2010; Zbl 1198.81133) Full Text: DOI
Amooshahi, M.; Esfahani, B. Nasr Canonical quantization of the electromagnetic field in the presence of non-dispersive bi-anisotropic inhomogeneous magnetodielectric media. (English) Zbl 1198.81191 Ann. Phys. 325, No. 9, 1913-1930 (2010). MSC: 81V10 81T70 81S05 81V80 PDF BibTeX XML Cite \textit{M. Amooshahi} and \textit{B. N. Esfahani}, Ann. Phys. 325, No. 9, 1913--1930 (2010; Zbl 1198.81191) Full Text: DOI
Reyes-Lega, Andrés F.; Benavides, Carlos Remarks on the configuration space approach to spin-statistics. (English) Zbl 1197.81153 Found. Phys. 40, No. 7, 1004-1029 (2010). MSC: 81S10 81S05 PDF BibTeX XML Cite \textit{A. F. Reyes-Lega} and \textit{C. Benavides}, Found. Phys. 40, No. 7, 1004--1029 (2010; Zbl 1197.81153) Full Text: DOI
Asada, Akira Fractional calculus and infinite order differential operators. (English) Zbl 1203.26006 Yokohama Math. J. 55, No. 2, 129-147 (2010). MSC: 26A33 17B65 81S05 PDF BibTeX XML Cite \textit{A. Asada}, Yokohama Math. J. 55, No. 2, 129--147 (2010; Zbl 1203.26006)
Caballar, Roland Cristopher F.; Galapon, Eric A. Characterizing multiple solutions to the time-energy canonical commutation relation via quantum dynamics. (English) Zbl 1231.81027 Phys. Lett., A 373, No. 31, 2660-2666 (2009). MSC: 81Q05 81S05 81P05 PDF BibTeX XML Cite \textit{R. C. F. Caballar} and \textit{E. A. Galapon}, Phys. Lett., A 373, No. 31, 2660--2666 (2009; Zbl 1231.81027) Full Text: DOI
Bagchi, Bijan; Fring, Andreas Comment on ”Non-Hermitian quantum mechanics with minimal length uncertainty”. (English) Zbl 1188.81077 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 089, 2 p. (2009). MSC: 81Q10 46C15 81Q12 PDF BibTeX XML Cite \textit{B. Bagchi} and \textit{A. Fring}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 089, 2 p. (2009; Zbl 1188.81077) Full Text: DOI EMIS EuDML arXiv
Grundling, Hendrik; Neeb, Karl-Hermann Full regularity for a \(C^*\)-algebra of the canonical commutation relations. (English) Zbl 1183.81088 Rev. Math. Phys. 21, No. 5, 587-613 (2009); erratum ibid. 30, No. 10, Article ID 1792002, 5 p. (2018). Reviewer: Gert Roepstorff (Aachen) MSC: 81S05 81R15 81T05 43A10 43A40 22A25 46N50 PDF BibTeX XML Cite \textit{H. Grundling} and \textit{K.-H. Neeb}, Rev. Math. Phys. 21, No. 5, 587--613 (2009; Zbl 1183.81088) Full Text: DOI arXiv
Bagarello, F. Simplified stock markets described by number operators. (English) Zbl 1178.91148 Rep. Math. Phys. 63, No. 3, 381-398 (2009). MSC: 91G80 81S99 91B80 PDF BibTeX XML Cite \textit{F. Bagarello}, Rep. Math. Phys. 63, No. 3, 381--398 (2009; Zbl 1178.91148) Full Text: DOI
Vicary, Jamie A categorical framework for the quantum harmonic oscillator. (English) Zbl 1160.81021 Int. J. Theor. Phys. 47, No. 12, 3408-3447 (2008). MSC: 81R30 18D10 81Q05 PDF BibTeX XML Cite \textit{J. Vicary}, Int. J. Theor. Phys. 47, No. 12, 3408--3447 (2008; Zbl 1160.81021) Full Text: DOI arXiv
Albeverio, S.; Liang, S. A remark on the nonequivalence of the time-zero \(\phi^4_3\)-measure with the free field measure. (English) Zbl 1148.81017 Markov Process. Relat. Fields 14, No. 1, 159-164 (2008). MSC: 81T10 81T27 60G30 81T70 PDF BibTeX XML Cite \textit{S. Albeverio} and \textit{S. Liang}, Markov Process. Relat. Fields 14, No. 1, 159--164 (2008; Zbl 1148.81017)
Gómez, Fernando Self-adjoint time operators and invariant subspaces. (English) Zbl 1155.47010 Rep. Math. Phys. 61, No. 1, 123-148 (2008). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47A15 47A20 47A45 47B25 81Q10 81S05 PDF BibTeX XML Cite \textit{F. Gómez}, Rep. Math. Phys. 61, No. 1, 123--148 (2008; Zbl 1155.47010) Full Text: DOI
Buchholz, Detlev; Grundling, Hendrik The resolvent algebra: A new approach to canonical quantum systems. (English) Zbl 1148.46032 J. Funct. Anal. 254, No. 11, 2725-2779 (2008). MSC: 46L05 46L60 81T05 PDF BibTeX XML Cite \textit{D. Buchholz} and \textit{H. Grundling}, J. Funct. Anal. 254, No. 11, 2725--2779 (2008; Zbl 1148.46032) Full Text: DOI arXiv
Lytvynov, Eugene; Mei, Lin On the correlation measure of a family of commuting Hermitian operators with applications to particle densities of the quasi-free representations of the CAR and CCR. (English) Zbl 1231.47004 J. Funct. Anal. 245, No. 1, 62-88 (2007). MSC: 47A13 46N50 47N50 81S25 PDF BibTeX XML Cite \textit{E. Lytvynov} and \textit{L. Mei}, J. Funct. Anal. 245, No. 1, 62--88 (2007; Zbl 1231.47004) Full Text: DOI arXiv
Zoloratev, V. A. Isometric expansions of quantum algebra of linear bounded operators. (English) Zbl 1191.47011 J. Math. Phys. Anal. Geom. 2, No. 2, 207-224 (2006). Reviewer: Vladimir V. Kisil (Leeds) MSC: 47A20 47A13 47A45 47A48 47L99 81S05 PDF BibTeX XML Cite \textit{V. A. Zoloratev}, J. Math. Phys. Anal. Geom. 2, No. 2, 207--224 (2006; Zbl 1191.47011)
Khrennikov, Andrei; Segre, Gavriel Von Neumann uniqueness theorem doesn’t hold in hyperbolic quantum mechanics. (English) Zbl 1106.81010 Int. J. Theor. Phys. 45, No. 10, 1889-1910 (2006). MSC: 81P05 81P20 81Q30 PDF BibTeX XML Cite \textit{A. Khrennikov} and \textit{G. Segre}, Int. J. Theor. Phys. 45, No. 10, 1889--1910 (2006; Zbl 1106.81010) Full Text: DOI arXiv
Kabluchko, Z. A.; Proskurin, D. P.; Samojlenko, Yu. S. On \(C^*\)-algebras generated by deformations of the CCR. (Ukrainian, English) Zbl 1080.46047 Ukr. Mat. Zh. 56, No. 11, 1527-1538 (2004); translation in Ukr. Math. J. 56, No. 11, 1813-1827 (2004). Reviewer: A. N. Kochubei (Kyïv) MSC: 46L65 PDF BibTeX XML Cite \textit{Z. A. Kabluchko} et al., Ukr. Mat. Zh. 56, No. 11, 1527--1538 (2004; Zbl 1080.46047); translation in Ukr. Math. J. 56, No. 11, 1813--1827 (2004) Full Text: DOI
Śniady, Piotr Factoriality of Bożejko-Speicher von Neumann algebras. (English) Zbl 1064.46047 Commun. Math. Phys. 246, No. 3, 561-567 (2004). MSC: 46L10 60J65 81R15 81S05 46L54 PDF BibTeX XML Cite \textit{P. Śniady}, Commun. Math. Phys. 246, No. 3, 561--567 (2004; Zbl 1064.46047) Full Text: DOI arXiv
Tveritinov, I. D. Relationship between distinct realizations of Bogolyubov transformations. (English. Russian original) Zbl 1210.81052 Math. Notes 75, No. 5, 744-748 (2004); translation from Mat. Zametki 75, No. 5, 797-800 (2004). MSC: 81R15 46L60 46N50 PDF BibTeX XML Cite \textit{I. D. Tveritinov}, Math. Notes 75, No. 5, 744--748 (2004; Zbl 1210.81052); translation from Mat. Zametki 75, No. 5, 797--800 (2004) Full Text: DOI
Ohnuki, Yoshio; Watanabe, Shuji Characterization of point transformations in quantum mechanics. (English) Zbl 1057.47031 J. Anal. Appl. 1, No. 3, 193-205 (2003). Reviewer: Michael Perelmuter (Kyïv) MSC: 47B25 81Q10 PDF BibTeX XML Cite \textit{Y. Ohnuki} and \textit{S. Watanabe}, J. Anal. Appl. 1, No. 3, 193--205 (2003; Zbl 1057.47031)
Corichi, Alejandro; Cortez, Jerónimo; Quevedo, Hernando Note on canonical quantization and unitary equivalence in field theory. (English) Zbl 1035.81043 Classical Quantum Gravity 20, No. 7, L83-L93 (2003). MSC: 81T20 81S05 81S10 83C45 83C05 PDF BibTeX XML Cite \textit{A. Corichi} et al., Classical Quantum Gravity 20, No. 7, L83--L93 (2003; Zbl 1035.81043) Full Text: DOI
Goodson, Geoffrey R.; Horn, Roger A.; Merino, Dennis I. Quasi-real normal matrices and eigenvalue pairings. (English) Zbl 1024.15005 Linear Algebra Appl. 369, 279-294 (2003). Reviewer: Ki Hang Kim (Montgomery) MSC: 15A21 15A18 15B57 PDF BibTeX XML Cite \textit{G. R. Goodson} et al., Linear Algebra Appl. 369, 279--294 (2003; Zbl 1024.15005) Full Text: DOI
Czachor, Marek States of light via reducible quantization. (English) Zbl 1063.81695 Phys. Lett., A 313, No. 5-6, 380-388 (2003). MSC: 81V80 81R30 81V10 PDF BibTeX XML Cite \textit{M. Czachor}, Phys. Lett., A 313, No. 5--6, 380--388 (2003; Zbl 1063.81695) Full Text: DOI
Maximov, V. M. Canonical forms of skew polynomial rings. (English. Russian original) Zbl 1081.16502 J. Math. Sci., New York 126, No. 2, 1064-1076 (2005); translation from Zap. Nauch. Semin. POMI 292, 40-57 (2002). MSC: 16S36 16S15 PDF BibTeX XML Cite \textit{V. M. Maximov}, J. Math. Sci., New York 126, No. 2, 1064--1076 (2002; Zbl 1081.16502); translation from Zap. Nauch. Semin. POMI 292, 40--57 (2002) Full Text: DOI
Jørgensen, Palle E. T.; Proskurin, Daniil P.; Samoilenko, Yurii S. Generalized canonical commutation relations: representations and stability of universal enveloping \(C^*\)-algebras. (English) Zbl 1039.46047 Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(2), 456-460 (2002). Reviewer: M. O. Nesterenko (Kyïv) MSC: 46L05 46L65 46L80 46N50 81S05 81T05 PDF BibTeX XML Cite \textit{P. E. T. Jørgensen} et al., in: Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9--15, 2001. Part 2. Dedicated to the 200th anniversary of M. Ostrohrads'kyi. Kyïv: Institute of Mathematics of NAS of Ukraine. 456--460 (2002; Zbl 1039.46047)
Lytvynov, Eugene Fermion and Boson random point processes as particle distributions of infinite free Fermi and Bose gases of finite density. (English) Zbl 1041.81076 Rev. Math. Phys. 14, No. 10, 1073-1098 (2002). MSC: 81S25 81S05 PDF BibTeX XML Cite \textit{E. Lytvynov}, Rev. Math. Phys. 14, No. 10, 1073--1098 (2002; Zbl 1041.81076) Full Text: DOI arXiv
Bru, J.-B.; Nachtergaele, B.; Zagrebnov, V. A. The equilibrium states for a model with two kinds of Bose condensation. (English) Zbl 1027.82002 J. Stat. Phys. 109, No. 1-2, 143-176 (2002). MSC: 82B10 82D50 82B21 81S05 PDF BibTeX XML Cite \textit{J. B. Bru} et al., J. Stat. Phys. 109, No. 1--2, 143--176 (2002; Zbl 1027.82002) Full Text: DOI