Peralta, Prat Vázquez; Cota, E. Towards an analytical solution for the triple quantum dot shuttle. (English) Zbl 07498400 Ann. Phys. 439, Article ID 168812, 15 p. (2022). MSC: 81Q37 70F07 81Q05 74B15 30H20 35P10 81U26 82B20 35B34 PDF BibTeX XML Cite \textit{P. V. Peralta} and \textit{E. Cota}, Ann. Phys. 439, Article ID 168812, 15 p. (2022; Zbl 07498400) Full Text: DOI OpenURL
Eremko, Alexander; Brizhik, Larissa; Loktev, Vadim Spin relevant invariants and the general solution of the Dirac equation for the Coulomb fields. (English) Zbl 07498392 Ann. Phys. 439, Article ID 168786, 20 p. (2022). MSC: 81Q05 81R25 81R20 35L65 15A66 81V10 81V45 35P10 PDF BibTeX XML Cite \textit{A. Eremko} et al., Ann. Phys. 439, Article ID 168786, 20 p. (2022; Zbl 07498392) Full Text: DOI OpenURL
Saleem, U.; Sarfraz, H.; Hanif, Y. Dynamics of kink-soliton solutions of the \((2+1)\)-dimensional sine-Gordon equation. (English. Russian original) Zbl 07483562 Theor. Math. Phys. 210, No. 1, 68-84 (2022); translation from Teor. Mat. Fiz. 210, No. 1, 80-98 (2022). MSC: 81Q05 35Q55 35C08 35Q05 35P05 35P10 35A01 PDF BibTeX XML Cite \textit{U. Saleem} et al., Theor. Math. Phys. 210, No. 1, 68--84 (2022; Zbl 07483562); translation from Teor. Mat. Fiz. 210, No. 1, 80--98 (2022) Full Text: DOI OpenURL
Beck, Thomas; Hanin, Boris Level spacings and nodal sets at infinity for radial perturbations of the harmonic oscillator. (English) Zbl 1479.35261 Int. Math. Res. Not. 2021, No. 7, 5007-5036 (2021). Reviewer: Igor Bock (Bratislava) MSC: 35J10 35P05 PDF BibTeX XML Cite \textit{T. Beck} and \textit{B. Hanin}, Int. Math. Res. Not. 2021, No. 7, 5007--5036 (2021; Zbl 1479.35261) Full Text: DOI arXiv OpenURL
Guliyev, Namig J. Essentially isospectral transformations and their applications. (English) Zbl 1448.34064 Ann. Mat. Pura Appl. (4) 199, No. 4, 1621-1648 (2020). Reviewer: Fatma Hıra (Atakum) MSC: 34B24 34A55 34B07 34C10 34L20 34L40 PDF BibTeX XML Cite \textit{N. J. Guliyev}, Ann. Mat. Pura Appl. (4) 199, No. 4, 1621--1648 (2020; Zbl 1448.34064) Full Text: DOI arXiv OpenURL
Guliyev, Namig J. A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter. (English) Zbl 1428.42057 Anal. Math. Phys. 10, No. 1, Paper No. 2, 8 p. (2020). MSC: 42C15 42C30 15B05 34B07 34L10 34L40 46B15 46C05 46E30 47A20 47B25 47E05 PDF BibTeX XML Cite \textit{N. J. Guliyev}, Anal. Math. Phys. 10, No. 1, Paper No. 2, 8 p. (2020; Zbl 1428.42057) Full Text: DOI arXiv OpenURL
Anikin, A. Yu.; Brüning, J.; Dobrokhotov, S. Yu.; Vybornyi, E. V. Averaging and spectral bands for the 2-D magnetic Schrödinger operator with growing and one-direction periodic potential. (English) Zbl 1426.81034 Russ. J. Math. Phys. 26, No. 3, 265-276 (2019). MSC: 81Q05 81V10 81V80 35J10 34L10 78A30 35P05 PDF BibTeX XML Cite \textit{A. Yu. Anikin} et al., Russ. J. Math. Phys. 26, No. 3, 265--276 (2019; Zbl 1426.81034) Full Text: DOI OpenURL
Fassari, S.; Rinaldi, F.; Viaggiu, S. The 3D perturbed Schrödinger Hamiltonian in a Friedmann flat spacetime testing the primordial universe in a non commutative spacetime. (English) Zbl 1411.83063 Math. Phys. Anal. Geom. 22, No. 1, Paper No. 4, 13 p. (2019). MSC: 83C65 83F05 58B34 34L10 34L40 35J10 35P15 47A10 83C45 PDF BibTeX XML Cite \textit{S. Fassari} et al., Math. Phys. Anal. Geom. 22, No. 1, Paper No. 4, 13 p. (2019; Zbl 1411.83063) Full Text: DOI arXiv OpenURL
Charron, Philippe A Pleijel-type theorem for the quantum harmonic oscillator. (English) Zbl 1400.35194 J. Spectr. Theory 8, No. 2, 715-732 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 35P20 35J10 81Q05 81R12 PDF BibTeX XML Cite \textit{P. Charron}, J. Spectr. Theory 8, No. 2, 715--732 (2018; Zbl 1400.35194) Full Text: DOI arXiv OpenURL
Knyazev, S. Yu.; Shcherbakova, E. E. Universal method of modeling linear stationary physical fields. (English. Russian original) Zbl 1431.81053 Russ. Phys. J. 60, No. 7, 1124-1132 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 60, No. 7, 39-45 (2017). MSC: 81Q05 65R20 PDF BibTeX XML Cite \textit{S. Yu. Knyazev} and \textit{E. E. Shcherbakova}, Russ. Phys. J. 60, No. 7, 1124--1132 (2017; Zbl 1431.81053); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 60, No. 7, 39--45 (2017) Full Text: DOI OpenURL
Knyazev, S. Yu.; Shcherbakova, E. E. Method for numerical solution of the stationary Schrödinger equation. (English. Russian original) Zbl 1380.81110 Russ. Phys. J. 59, No. 10, 1616-1622 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 59, No. 10, 87-92 (2016). MSC: 81Q05 35J10 35A08 PDF BibTeX XML Cite \textit{S. Yu. Knyazev} and \textit{E. E. Shcherbakova}, Russ. Phys. J. 59, No. 10, 1616--1622 (2017; Zbl 1380.81110); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 59, No. 10, 87--92 (2016) Full Text: DOI OpenURL
Delort, Jean-Marc; Imekraz, Rafik Long-time existence for the semilinear Klein-Gordon equation on a compact boundary-less Riemannian manifold. (English) Zbl 1365.37056 Commun. Partial Differ. Equations 42, No. 3, 388-416 (2017). Reviewer: Jesús Hernández (Madrid) MSC: 37K40 35P10 35P20 37K25 81Q05 35Q53 PDF BibTeX XML Cite \textit{J.-M. Delort} and \textit{R. Imekraz}, Commun. Partial Differ. Equations 42, No. 3, 388--416 (2017; Zbl 1365.37056) Full Text: DOI OpenURL
Aliyev, Ziyatkhan; Manafova, Parvana Oscillation theorems for the Dirac operator with a spectral parameter in the boundary condition. (English) Zbl 1399.34279 Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 115, 10 p. (2016). MSC: 34L40 34B09 34L15 34L20 34B07 34C10 PDF BibTeX XML Cite \textit{Z. Aliyev} and \textit{P. Manafova}, Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 115, 10 p. (2016; Zbl 1399.34279) Full Text: DOI OpenURL
Wang, Da-Bin; Yang, Kuo Existence of solutions for a class of quasilinear Schrödinger equations on \({\mathbb{R}}\). (English) Zbl 1341.34082 Bound. Value Probl. 2015, Paper No. 215, 5 p. (2015). MSC: 34L40 34L10 58E50 PDF BibTeX XML Cite \textit{D.-B. Wang} and \textit{K. Yang}, Bound. Value Probl. 2015, Paper No. 215, 5 p. (2015; Zbl 1341.34082) Full Text: DOI OpenURL
Karpeshina, Yulia; Shterenberg, Roman Multiscale analysis in momentum space for quasi-periodic potential in dimension two. (English) Zbl 1292.81044 J. Math. Phys. 54, No. 7, 073507, 92 p. (2013). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q05 81Q10 31A30 28A80 PDF BibTeX XML Cite \textit{Y. Karpeshina} and \textit{R. Shterenberg}, J. Math. Phys. 54, No. 7, 073507, 92 p. (2013; Zbl 1292.81044) Full Text: DOI arXiv OpenURL
Dobson, D. C.; Santosa, F.; Shipman, S. P.; Weinstein, M. I. Resonances of a potential well with a thick barrier. (English) Zbl 1312.34130 SIAM J. Appl. Math. 73, No. 4, 1489-1512 (2013). Reviewer: Manfred Möller (Johannesburg) MSC: 34L15 34L16 34L20 34B09 35Q40 PDF BibTeX XML Cite \textit{D. C. Dobson} et al., SIAM J. Appl. Math. 73, No. 4, 1489--1512 (2013; Zbl 1312.34130) Full Text: DOI Link OpenURL
Marín, Ana M.; Ortíz, Rubén D.; Rodriguez Ceballos, Joel A. Asymptotics for Klein-Gordon equation. (English) Zbl 1276.81055 Proyecciones 32, No. 3, 259-265 (2013). MSC: 81Q05 81Q15 31A10 35B40 PDF BibTeX XML Cite \textit{A. M. Marín} et al., Proyecciones 32, No. 3, 259--265 (2013; Zbl 1276.81055) Full Text: DOI Link OpenURL
Karaman, Özkan; Kosar, Nida P. Continuity of the scattering function and Levinson-type formula of Klein-Gordon equation. (English) Zbl 1284.34128 Math. Methods Appl. Sci. 36, No. 12, 1583-1590 (2013). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 34L25 34L40 34L10 34B07 PDF BibTeX XML Cite \textit{Ö. Karaman} and \textit{N. P. Kosar}, Math. Methods Appl. Sci. 36, No. 12, 1583--1590 (2013; Zbl 1284.34128) Full Text: DOI OpenURL
Brown, B. Malcolm; Eastham, Michael S. P.; Schmidt, Karl Michael Periodic differential operators. (English) Zbl 1267.34001 Operator Theory: Advances and Applications 230. Basel: Birkhäuser (ISBN 978-3-0348-0527-8/hbk; 978-3-0348-0528-5/ebook). viii, 216 p. (2013). Reviewer: George Karakostas (Ioannina) MSC: 34-02 34L15 34L10 34C20 34A30 34B30 34L05 34L40 47A55 47E05 81Q05 81Q10 34L16 PDF BibTeX XML Cite \textit{B. M. Brown} et al., Periodic differential operators. Basel: Birkhäuser (2013; Zbl 1267.34001) Full Text: DOI OpenURL
Marín, Ana Magnolia; Ortíz, Ruben Dario; Caballos, Joel Arturo Rodriguez Asymptotics of the Klein-Gordon equation. (English) Zbl 1262.81049 Far East J. Appl. Math. 70, No. 2, 139-145 (2012). MSC: 81Q05 31A10 34B27 81Q10 PDF BibTeX XML Cite \textit{A. M. Marín} et al., Far East J. Appl. Math. 70, No. 2, 139--145 (2012; Zbl 1262.81049) Full Text: Link OpenURL
Grinevich, P. G.; Novikov, R. G. Faddeev eigenfunctions for point potentials in two dimensions. (English) Zbl 1255.81137 Phys. Lett., A 376, No. 12-13, 1102-1106 (2012). MSC: 81Q05 81Q10 81Q80 81U40 PDF BibTeX XML Cite \textit{P. G. Grinevich} and \textit{R. G. Novikov}, Phys. Lett., A 376, No. 12--13, 1102--1106 (2012; Zbl 1255.81137) Full Text: DOI arXiv OpenURL
Alolyan, Ibraheem; Simos, T. E. A new hybrid two-step method with vanished phase-lag and its first and second derivatives for the numerical solution of the Schrödinger equation and related problems. (English) Zbl 1257.81019 J. Math. Chem. 50, No. 7, 1861-1881 (2012). MSC: 81Q05 81-04 34L10 PDF BibTeX XML Cite \textit{I. Alolyan} and \textit{T. E. Simos}, J. Math. Chem. 50, No. 7, 1861--1881 (2012; Zbl 1257.81019) Full Text: DOI OpenURL
Arda, Altug; Sever, Ramazan Bound state solutions of Schrödinger equation for generalized Morse potential with position-dependent mass. (English) Zbl 1247.81107 Commun. Theor. Phys. 56, No. 1, 51-54 (2011). MSC: 81Q05 81Q10 81V55 PDF BibTeX XML Cite \textit{A. Arda} and \textit{R. Sever}, Commun. Theor. Phys. 56, No. 1, 51--54 (2011; Zbl 1247.81107) Full Text: DOI arXiv OpenURL
Znojil, Miloslav Planarizable supersymmetric quantum toboggans. (English) Zbl 1217.81102 SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 018, 24 p. (2011). MSC: 81Q60 81Q12 46C15 81Q10 34L20 47A75 47B50 58J53 81Q05 PDF BibTeX XML Cite \textit{M. Znojil}, SIGMA, Symmetry Integrability Geom. Methods Appl. 7, Paper 018, 24 p. (2011; Zbl 1217.81102) Full Text: DOI arXiv EuDML OpenURL
Gauckler, Ludwig Convergence of a split-step Hermite method for the Gross-Pitaevskii equation. (English) Zbl 1223.65079 IMA J. Numer. Anal. 31, No. 2, 396-415 (2011). Reviewer: Kai Schneider (Marseille) MSC: 65M70 35Q55 65M12 65M15 81Q05 PDF BibTeX XML Cite \textit{L. Gauckler}, IMA J. Numer. Anal. 31, No. 2, 396--415 (2011; Zbl 1223.65079) Full Text: DOI Link OpenURL
García, Marcos A. G.; Turbiner, Alexander V. The quantum \(H_{4}\) integrable system. (English) Zbl 1209.81098 Mod. Phys. Lett. A 26, No. 6, 433-447 (2011). MSC: 81Q05 81Q35 81Q80 81U15 81Q10 PDF BibTeX XML Cite \textit{M. A. G. García} and \textit{A. V. Turbiner}, Mod. Phys. Lett. A 26, No. 6, 433--447 (2011; Zbl 1209.81098) Full Text: DOI arXiv OpenURL
Huseynov, Adil Eigenfunction expansion associated with the one-dimensional Schrödinger equation on semi-infinite time scale intervals. (English) Zbl 1226.34088 Rep. Math. Phys. 66, No. 2, 207-235 (2010). Reviewer: K. Rajendra Prasad (Visakhapatnam) MSC: 34N05 34L10 81Q05 81Q10 PDF BibTeX XML Cite \textit{A. Huseynov}, Rep. Math. Phys. 66, No. 2, 207--235 (2010; Zbl 1226.34088) Full Text: DOI OpenURL
García, Marcos A. G.; Turbiner, Alexander V. The quantum \(H_{3}\) integrable system. (English) Zbl 1208.81078 Int. J. Mod. Phys. A 25, No. 30, 5567-5594 (2010). MSC: 81Q05 81R12 51F15 33C45 81U15 PDF BibTeX XML Cite \textit{M. A. G. García} and \textit{A. V. Turbiner}, Int. J. Mod. Phys. A 25, No. 30, 5567--5594 (2010; Zbl 1208.81078) Full Text: DOI arXiv OpenURL
Hatzinikitas, Agapitos The fractional Schrödinger operator and Toeplitz matrices. (English) Zbl 1283.81060 J. Math. Phys. 50, No. 10, 103524, 13 p. (2009). MSC: 81Q05 26A33 39A10 47B06 47B35 PDF BibTeX XML Cite \textit{A. Hatzinikitas}, J. Math. Phys. 50, No. 10, 103524, 13 p. (2009; Zbl 1283.81060) Full Text: DOI arXiv OpenURL
Elçi, A.; Hjalmarson, H. P. The tunneling solutions of the time-dependent Schrödinger equation for a square-potential barrier. (English) Zbl 1248.81036 J. Math. Phys. 50, No. 10, 102101, 31 p. (2009). MSC: 81Q05 35Q55 81U05 PDF BibTeX XML Cite \textit{A. Elçi} and \textit{H. P. Hjalmarson}, J. Math. Phys. 50, No. 10, 102101, 31 p. (2009; Zbl 1248.81036) Full Text: DOI OpenURL
Khochman, Abdallah Resonances and spectral shift function for a magnetic Schrödinger operator. (English) Zbl 1214.81091 J. Math. Phys. 50, No. 4, 043507, 16 p. (2009). MSC: 81Q10 35J10 47A55 47N50 81Q20 PDF BibTeX XML Cite \textit{A. Khochman}, J. Math. Phys. 50, No. 4, 043507, 16 p. (2009; Zbl 1214.81091) Full Text: DOI arXiv OpenURL
Buisseret, Fabien; Semay, Claude; Silvestre-Brac, Bernard Some equivalences between the auxiliary field method and envelope theory. (English) Zbl 1187.81100 J. Math. Phys. 50, No. 3, 032102, 6 pp. (2009). MSC: 81Q05 35J10 81Q20 PDF BibTeX XML Cite \textit{F. Buisseret} et al., J. Math. Phys. 50, No. 3, 032102, 6 p. (2009; Zbl 1187.81100) Full Text: DOI arXiv OpenURL
Dinu, Victor; Jensen, Arne; Nenciu, Gheorghe Nonexponential decay laws in perturbation theory of near threshold eigenvalues. (English) Zbl 1200.81062 J. Math. Phys. 50, No. 1, 013516, 20 p. (2009). MSC: 81Q10 35B25 35J10 47A55 47N50 81U05 PDF BibTeX XML Cite \textit{V. Dinu} et al., J. Math. Phys. 50, No. 1, 013516, 20 p. (2009; Zbl 1200.81062) Full Text: DOI Link OpenURL
Gibbons, John; Veselov, A. P. On the rational monodromy-free potentials with sextic growth. (English) Zbl 1200.34108 J. Math. Phys. 50, No. 1, 013513, 25 p. (2009). MSC: 34L40 34M35 35J10 37J35 81Q05 PDF BibTeX XML Cite \textit{J. Gibbons} and \textit{A. P. Veselov}, J. Math. Phys. 50, No. 1, 013513, 25 p. (2009; Zbl 1200.34108) Full Text: DOI arXiv OpenURL
Grushin, V. V. Asymptotic behavior of eigenvalues of the Laplace operator in thin infinite tubes. (English. Russian original) Zbl 1181.35150 Math. Notes 85, No. 5, 661-673 (2009); translation from Mat. Zametki 85, No. 5, 687-701 (2009). MSC: 35P10 35J10 81Q10 PDF BibTeX XML Cite \textit{V. V. Grushin}, Math. Notes 85, No. 5, 661--673 (2009; Zbl 1181.35150); translation from Mat. Zametki 85, No. 5, 687--701 (2009) Full Text: DOI OpenURL
Singh, Ram Mehar; Chand, Fakir; Mishra, S. C. Solution of Schrödinger equation for two-dimensional complex quartic potentials. (English) Zbl 1181.81046 Commun. Theor. Phys. 51, No. 3, 397-406 (2009). MSC: 81Q05 81Q10 PDF BibTeX XML Cite \textit{R. M. Singh} et al., Commun. Theor. Phys. 51, No. 3, 397--406 (2009; Zbl 1181.81046) Full Text: DOI OpenURL
Arda, Altuğ; Sever, Ramazan Approximate solution of the effective mass Klein-Gordon equation for the Hulthen potential with any angular momentum. (English) Zbl 1169.81326 Int. J. Theor. Phys. 48, No. 4, 945-951 (2009). MSC: 81Q05 81Q10 PDF BibTeX XML Cite \textit{A. Arda} and \textit{R. Sever}, Int. J. Theor. Phys. 48, No. 4, 945--951 (2009; Zbl 1169.81326) Full Text: DOI arXiv OpenURL
Chien, C.-S.; Jeng, B.-W.; Li, Z.-C. A time-independent approach for computing wave functions of the Schrödinger-Poisson system. (English) Zbl 1212.65433 Numer. Linear Algebra Appl. 15, No. 1, 55-82 (2008). Reviewer: Karel Segeth (Praha) MSC: 65N25 81Q05 35Q40 35P15 65N30 35P30 35Q55 PDF BibTeX XML Cite \textit{C. S. Chien} et al., Numer. Linear Algebra Appl. 15, No. 1, 55--82 (2008; Zbl 1212.65433) Full Text: DOI OpenURL
Ikhdair, Sameer M.; Sever, Ramazan Exact bound states of the \(D\)-dimensional Klein-Gordon equation with equal scalar and vector ring-shaped pseudoharmonic potential. (English) Zbl 1154.81331 Int. J. Mod. Phys. C 19, No. 9, 1425-1442 (2008). MSC: 81Q05 35Q53 81U15 PDF BibTeX XML Cite \textit{S. M. Ikhdair} and \textit{R. Sever}, Int. J. Mod. Phys. C 19, No. 9, 1425--1442 (2008; Zbl 1154.81331) Full Text: DOI arXiv OpenURL
Fulton, Charles Titchmarsh-Weyl \(m\) -functions for second-order Sturm-Liouville problems with two singular endpoints. (English) Zbl 1165.34011 Math. Nachr. 281, No. 10, 1418-1475 (2008). Reviewer: Jussi Behrndt (Berlin) MSC: 34B20 34B24 34B27 34B30 34B40 34L10 34L40 33C15 35Q40 81Q05 PDF BibTeX XML Cite \textit{C. Fulton}, Math. Nachr. 281, No. 10, 1418--1475 (2008; Zbl 1165.34011) Full Text: DOI OpenURL
Taşkın, F.; Boztosun, I.; Bayrak, O. Exact solutions of Klein-Gordon equation with exponential scalar and vector potentials. (English) Zbl 1192.81139 Int. J. Theor. Phys. 47, No. 6, 1612-1617 (2008). MSC: 81Q05 35Q40 PDF BibTeX XML Cite \textit{F. Taşkın} et al., Int. J. Theor. Phys. 47, No. 6, 1612--1617 (2008; Zbl 1192.81139) Full Text: DOI OpenURL
Buslaev, V. S.; Strazdin, V. Yu. One-dimensional Schrödinger operator on the half-line: the differential equation for eigenfunctions with respect to the spectral parameter and an analog of the Freud equation. (English) Zbl 1168.34367 Funct. Anal. Appl. 41, No. 3, 237-240 (2007); translation from Funkts. Anal. Prilozh. 41, No. 3, 84-88 (2007). MSC: 34L40 34L05 PDF BibTeX XML Cite \textit{V. S. Buslaev} and \textit{V. Yu. Strazdin}, Funct. Anal. Appl. 41, No. 3, 237--240 (2007; Zbl 1168.34367); translation from Funkts. Anal. Prilozh. 41, No. 3, 84--88 (2007) Full Text: DOI OpenURL
Ikhdair, Sameer M.; Sever, Ramazan Polynomial solution of non-central potentials. (English) Zbl 1133.81017 Int. J. Theor. Phys. 46, No. 10, 2384-2395 (2007). MSC: 81Q05 81Q10 PDF BibTeX XML Cite \textit{S. M. Ikhdair} and \textit{R. Sever}, Int. J. Theor. Phys. 46, No. 10, 2384--2395 (2007; Zbl 1133.81017) Full Text: DOI arXiv OpenURL
Ikhdair, S. M.; Sever, R. Exact solution of the Klein-Gordon equation for the \({\mathcal{PT}}\)-symmetric generalized Woods-Saxon potential by the Nikiforov-Uvarov method. (English) Zbl 1114.81029 Ann. Phys. (8) 16, No. 3, 218-232 (2007). MSC: 81Q05 81U15 PDF BibTeX XML Cite \textit{S. M. Ikhdair} and \textit{R. Sever}, Ann. Phys. (8) 16, No. 3, 218--232 (2007; Zbl 1114.81029) Full Text: DOI arXiv OpenURL
Ixaru, L. Gr.; Scott, N.-S.; Scott, M. P. Fast computation of the Slater integrals. (English) Zbl 1120.65025 SIAM J. Sci. Comput. 28, No. 4, 1252-1274 (2006). MSC: 65D20 65L15 81V45 81Q05 81U20 34L40 PDF BibTeX XML Cite \textit{L. Gr. Ixaru} et al., SIAM J. Sci. Comput. 28, No. 4, 1252--1274 (2006; Zbl 1120.65025) Full Text: DOI OpenURL
Shao, Sihong; Cai, Wei; Tang, Huazhong Accurate calculation of Green’s function of the Schrödinger equation in a block layered potential. (English) Zbl 1101.81055 J. Comput. Phys. 219, No. 2, 733-748 (2006). MSC: 81Q05 34L10 65N30 82D37 PDF BibTeX XML Cite \textit{S. Shao} et al., J. Comput. Phys. 219, No. 2, 733--748 (2006; Zbl 1101.81055) Full Text: DOI OpenURL
McKinney, Paul Caylor Schrödinger equation solutions for the central field power potential energy. II: \(V(r)=-V_{0}(r/a_{0}^{2{\nu}-2})\), \(0 {\leqslant}{\nu}{\leqslant} 1\), the bound states. (English) Zbl 1027.81014 J. Math. Chem. 32, No. 4, 405-410 (2002). MSC: 81Q20 81Q05 PDF BibTeX XML Cite \textit{P. C. McKinney}, J. Math. Chem. 32, No. 4, 405--410 (2002; Zbl 1027.81014) Full Text: DOI OpenURL
McKinney, Paul Caylor Schrödinger equation solutions for the central field power potential energy. I: \(V(r) = V_{0}(r/a_{0})^{2{\nu}-2}\), \({\nu}{\geqslant}1\). (English) Zbl 1027.81013 J. Math. Chem. 32, No. 4, 381-404 (2002). MSC: 81Q20 81Q05 PDF BibTeX XML Cite \textit{P. C. McKinney}, J. Math. Chem. 32, No. 4, 381--404 (2002; Zbl 1027.81013) Full Text: DOI OpenURL
Taşeli, H.; Erhan, İnci M.; Uğur, Ö. An eigenfunction expansion for the Schrödinger equation with arbitrary non-central potentials. (English) Zbl 1027.81007 J. Math. Chem. 32, No. 4, 323-338 (2002). MSC: 81Q05 35P10 PDF BibTeX XML Cite \textit{H. Taşeli} et al., J. Math. Chem. 32, No. 4, 323--338 (2002; Zbl 1027.81007) Full Text: DOI OpenURL
Schechter, Martin Operator methods in quantum mechanics. Reprint of the 1981 original. (English) Zbl 1029.47054 Mineola, NY: Dover Publications. xxii, 324 p. (2002). Reviewer: Aleksandar Perović (Berlin) MSC: 47N50 47-02 47A40 81Q10 35P10 81U05 35J10 35P25 PDF BibTeX XML Cite \textit{M. Schechter}, Operator methods in quantum mechanics. Reprint of the 1981 original. Mineola, NY: Dover Publications (2002; Zbl 1029.47054) OpenURL
Karpeshina, Yu. E. On spectral properties of periodic polyharmonic matrix operators. (English) Zbl 1199.47195 Proc. Indian Acad. Sci., Math. Sci. 112, No. 1, 117-130 (2002). MSC: 47F05 35B10 35J10 35Q40 47N50 81Q10 PDF BibTeX XML Cite \textit{Yu. E. Karpeshina}, Proc. Indian Acad. Sci., Math. Sci. 112, No. 1, 117--130 (2002; Zbl 1199.47195) Full Text: DOI OpenURL
Rosas-Ortiz, J. Oscar Exactly solvable hydrogen-like potentials and the factorization method. (English) Zbl 0934.34074 J. Phys. A, Math. Gen. 31, No. 50, 10163-10179 (1998). Reviewer: Manfred Möller (Johannesburg) MSC: 34L40 81Q05 34L10 34L05 37J05 34B30 PDF BibTeX XML Cite \textit{J. O. Rosas-Ortiz}, J. Phys. A, Math. Gen. 31, No. 50, 10163--10179 (1998; Zbl 0934.34074) Full Text: DOI arXiv OpenURL
Dunster, T. M. Asymptotics of the eigenvalues of the rotating harmonic oscillator. (English) Zbl 0928.34063 J. Comput. Appl. Math. 93, No. 1, 45-73 (1998). Reviewer: Váslaw Burjan (Praha) MSC: 34L20 81Q10 34L40 34E20 81Q05 PDF BibTeX XML Cite \textit{T. M. Dunster}, J. Comput. Appl. Math. 93, No. 1, 45--73 (1998; Zbl 0928.34063) Full Text: DOI OpenURL
Chen, Heli; Shizgal, Bernie D. The quadrature discretization method (QDM) in the solution of the Schrödinger equation. (English) Zbl 0916.65089 J. Math. Chem. 24, No. 4, 321-343 (1998). Reviewer: S.Yanchuk (Kyïv) MSC: 65L15 34L15 34L40 81Q05 PDF BibTeX XML Cite \textit{H. Chen} and \textit{B. D. Shizgal}, J. Math. Chem. 24, No. 4, 321--343 (1998; Zbl 0916.65089) Full Text: DOI OpenURL
Brau, F.; Semay, C. The three-dimensional Fourier grid Hamiltonian method. (English) Zbl 0898.65064 J. Comput. Phys. 139, No. 1, 127-136 (1998). Reviewer: W.Heinrichs (Essen) MSC: 65N25 35P15 81Q05 35Q40 PDF BibTeX XML Cite \textit{F. Brau} and \textit{C. Semay}, J. Comput. Phys. 139, No. 1, 127--136 (1998; Zbl 0898.65064) Full Text: DOI arXiv Link OpenURL
Ovcharenko, I. E. The orthogonal systems generated by the Schrödinger equation. (English. Russian original) Zbl 0978.34075 Dokl. Math. 56, No. 2, 655-657 (1997); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 356, No. 1, 16-18 (1997). Reviewer: Victor S.Rykhlov (MR 99c:34200) MSC: 34L40 81Q05 42C05 PDF BibTeX XML Cite \textit{I. E. Ovcharenko}, Dokl. Math. 56, No. 2, 16--18 (1997; Zbl 0978.34075); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 356, No. 1, 16--18 (1997) OpenURL
Ablowitz, Mark J.; Villarroel, Javier Solutions to the time dependent Schrödinger and the Kadomtsev-Petviashvili equations. (English) Zbl 0944.81013 Phys. Rev. Lett. 78, No. 4, 570-573 (1997). MSC: 81Q05 35Q53 81U40 35P10 PDF BibTeX XML Cite \textit{M. J. Ablowitz} and \textit{J. Villarroel}, Phys. Rev. Lett. 78, No. 4, 570--573 (1997; Zbl 0944.81013) Full Text: DOI OpenURL
Liolios, Th. E. Algebraic and numerical manipulation of the even-power-series central potentials by means of the hypervirial theorems technique. (English) Zbl 0930.65124 Comput. Phys. Commun. 105, No. 2-3, 254-262 (1997). MSC: 65N25 35P15 35Q55 35Q40 81Q05 PDF BibTeX XML Cite \textit{Th. E. Liolios}, Comput. Phys. Commun. 105, No. 2--3, 254--262 (1997; Zbl 0930.65124) Full Text: DOI OpenURL
Makin, A. S. Order-exact estimates for the maxima of the absolute values of the adjoint eigenfunctions of the Schrödinger operator. (English. Russian original) Zbl 0910.35085 Differ. Equations 33, No. 1, 121-131 (1997); translation from Differ. Uravn. 33, No. 1, 120-129 (1997). Reviewer: V.Chernyatin (Szczecin) MSC: 35P15 35J10 35B05 PDF BibTeX XML Cite \textit{A. S. Makin}, Differ. Equations 33, No. 1, 121--131 (1997; Zbl 0910.35085); translation from Differ. Uravn. 33, No. 1, 120--129 (1997) OpenURL
Vasy, András Structure of the resolvent for three-body potentials. (English) Zbl 0891.35111 Duke Math. J. 90, No. 2, 379-434 (1997). Reviewer: Heinz Siedentop (Regensburg) MSC: 35P25 35J10 81U10 PDF BibTeX XML Cite \textit{A. Vasy}, Duke Math. J. 90, No. 2, 379--434 (1997; Zbl 0891.35111) Full Text: DOI OpenURL
Shen, Zhongwei Eigenvalue asymptotics and exponential decay of eigenfunctions for Schrödinger operators with magnetic fields. (English) Zbl 0866.35088 Trans. Am. Math. Soc. 348, No. 11, 4465-4488 (1996). Reviewer: B.Helffer (Orsay) MSC: 35P20 35J10 35P15 PDF BibTeX XML Cite \textit{Z. Shen}, Trans. Am. Math. Soc. 348, No. 11, 4465--4488 (1996; Zbl 0866.35088) Full Text: DOI OpenURL
De Raedt, Hans Quantum dynamics in nanoscale devices. (English) Zbl 0857.65134 Hoffmann, Karl Heinz (ed.) et al., Computational physics: selected methods, simple exercises, serious applications. Berlin: Springer. 209-224 (1996). MSC: 65Z05 35Q40 35P10 35Q55 78A15 PDF BibTeX XML Cite \textit{H. De Raedt}, in: Computational physics: selected methods, simple exercises, serious applications. Berlin: Springer. 209--224 (1996; Zbl 0857.65134) OpenURL
Braun, M.; Sofianos, S. A.; Papageorgiou, D. G.; Lagaris, I. E. An efficient Chebyshev-Lanczos method for obtaining eigensolutions of the Schrödinger equation on a grid. (English) Zbl 0856.65123 J. Comput. Phys. 126, No. 2, 315-327 (1996). Reviewer: V.Burjan (Praha) MSC: 65N25 35P15 35Q55 34L40 81Q05 65L15 PDF BibTeX XML Cite \textit{M. Braun} et al., J. Comput. Phys. 126, No. 2, 315--327 (1996; Zbl 0856.65123) Full Text: DOI OpenURL
Erdős, László Gaussian decay of the magnetic eigenfunctions. (English) Zbl 0863.35089 Geom. Funct. Anal. 6, No. 2, 231-248 (1996). Reviewer: D.Hundertmark (Oslo) MSC: 35Q40 35J10 81Q10 PDF BibTeX XML Cite \textit{L. Erdős}, Geom. Funct. Anal. 6, No. 2, 231--248 (1996; Zbl 0863.35089) Full Text: DOI EuDML OpenURL
Grünbaum, F. Alberto Band-time-band limiting integral operators and commuting differential operators. (English) Zbl 0878.47031 St. Petersbg. Math. J. 8, No. 1, 93-96 (1997); translation from Algebra Anal. 8, No. 1, 122-126 (1996). Reviewer: G.Vainikko (Espoo) MSC: 47E05 47G10 34L40 PDF BibTeX XML Cite \textit{F. A. Grünbaum}, St. Petersbg. Math. J. 8, No. 1, 122--126 (1996; Zbl 0878.47031); translation from Algebra Anal. 8, No. 1, 122--126 (1996) OpenURL
Hislop, P. D.; Sigal, I. M. Introduction to spectral theory. With applications to Schrödinger operators. (English) Zbl 0855.47002 Applied Mathematical Sciences. 113. New York, NY: Springer-Verlag. xi, 501 p. (1996). Reviewer: M.Demuth (Clausthal) MSC: 47A10 47-02 35-02 35Pxx 81Q05 35J10 PDF BibTeX XML Cite \textit{P. D. Hislop} and \textit{I. M. Sigal}, Introduction to spectral theory. With applications to Schrödinger operators. New York, NY: Springer-Verlag (1996; Zbl 0855.47002) OpenURL
Sakhnovich, L. A. On properties of the discrete and continuous spectrum for the radial Dirac equation. (English. Russian original) Zbl 0940.34067 Theor. Math. Phys. 108, No. 1, 876-888 (1996); translation from Teor. Mat. Fiz. 108, No. 1, 36-49 (1996). Reviewer: N.D.Sengupta (Bombay) MSC: 34L40 81Q05 34L20 47N50 PDF BibTeX XML Cite \textit{L. A. Sakhnovich}, Theor. Math. Phys. 108, No. 1, 876--888 (1996; Zbl 0940.34067); translation from Teor. Mat. Fiz. 108, No. 1, 36--49 (1996) Full Text: DOI OpenURL
Koike, Tatsuya On perturbation series of eigenvalues of anharmonic oscillators. (English) Zbl 0926.34066 RIMS Kokyuroku 968, 60-75 (1996). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34L20 34E10 30E15 34L40 81Q15 34E20 34B24 34L05 PDF BibTeX XML Cite \textit{T. Koike}, RIMS Kokyuroku 968, 60--75 (1996; Zbl 0926.34066) OpenURL
Barcza, S. The diamagnetic Coulomb problem at high field strength. Asymptotic analysis. (English) Zbl 0903.34075 J. Phys. A, Math. Gen. 29, No. 21, 6765-6780 (1996). MSC: 34L40 81Q05 34L20 PDF BibTeX XML Cite \textit{S. Barcza}, J. Phys. A, Math. Gen. 29, No. 21, 6765--6780 (1996; Zbl 0903.34075) Full Text: DOI OpenURL
Buzurnyuk, N. S.; Serov, V. S. Convergence of Riesz means for spectral expansions corresponding to a Schrödinger operator with singular potential. (English. Russian original) Zbl 0874.35078 Differ. Equations 32, No. 1, 85-93 (1996); translation from Differ. Uravn. 32, No. 1, 83-89 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 35P10 35J10 PDF BibTeX XML Cite \textit{N. S. Buzurnyuk} and \textit{V. S. Serov}, Differ. Equations 32, No. 1, 85--93 (1996; Zbl 0874.35078); translation from Differ. Uravn. 32, No. 1, 83--89 (1996) OpenURL
Zayed, E. M. E.; Ibrahim, S. F. M. An expansion theorem for an eigenvalue problem of an arbitrary multiply connected domain with an eigenparameter in a general type of boundary conditions. (English) Zbl 0845.35074 Acta Math. Sin., New Ser. 11, No. 4, 399-407 (1995). Reviewer: V.V.Karachik (Tashkent) MSC: 35P10 35J10 31B10 PDF BibTeX XML Cite \textit{E. M. E. Zayed} and \textit{S. F. M. Ibrahim}, Acta Math. Sin., New Ser. 11, No. 4, 399--407 (1995; Zbl 0845.35074) Full Text: DOI OpenURL
Lassas, Matti Non-selfadjoint inverse spectral problems and their applications to random bodies. (English) Zbl 0856.35131 Annales Academiæ Scientiarum Fennicæ. Mathematica. Dissertationes. 103. Helsinki: Suomalainen Tiedeakatemia. 108 p. (1995). Reviewer: V.Isakov (Wichita) MSC: 35R30 35J10 35P10 35Q60 60G60 60H25 PDF BibTeX XML Cite \textit{M. Lassas}, Non-selfadjoint inverse spectral problems and their applications to random bodies. Helsinki: Suomalainen Tiedeakatemia (1995; Zbl 0856.35131) OpenURL
Rochberg, Richard Size estimates for eigenvalues of singular integral operators and Schrödinger operators and for derivatives of quasiconformal mappings. (English) Zbl 0845.42006 Am. J. Math. 117, No. 3, 711-771 (1995). Reviewer: H.Tanabe (Toyonaka) MSC: 42B20 30C62 35J10 45C05 PDF BibTeX XML Cite \textit{R. Rochberg}, Am. J. Math. 117, No. 3, 711--771 (1995; Zbl 0845.42006) Full Text: DOI OpenURL
Feranchuk, I. D.; Komarov, L. I.; Nichipor, I. V.; Ulyanenkov, A. P. Operator method in the problem of quantum anharmonic oscillator. (English) Zbl 0815.47079 Ann. Phys. 238, No. 2, 370-440 (1995). Reviewer: I.D.Feranchuk (Minsk) MSC: 47N50 81Q05 PDF BibTeX XML Cite \textit{I. D. Feranchuk} et al., Ann. Phys. 238, No. 2, 370--440 (1995; Zbl 0815.47079) Full Text: DOI OpenURL
Grünbaum, F. Alberto Some variations on the theme “local-vs-global”. (English) Zbl 0869.65074 Monteiro, Luiz (ed.), Homage to Dr. Rodolfo A. Ricabarra. Bahía Blanca: Univ. Nacional del Sur, 1-18 (1995). MSC: 65Z05 35P10 35J10 35J05 92C55 44A12 42A38 PDF BibTeX XML Cite \textit{F. A. Grünbaum}, in: Homenaje al Dr. Rodolfo A. Ricabarra. Bahía Blanca: Univ. Nacional del Sur. 1--18 (1995; Zbl 0869.65074) OpenURL
Maslov, V. P. Semiclassical asymptotics of the eigenfunctions of the Schrödinger-Hartree equation. New form of classical self-consistent field. (English. Russian original) Zbl 0850.35083 Theor. Math. Phys. 99, No. 1, 484-493 (1994); translation from Teor. Mat. Fiz. 99, No. 1, 141-154 (1994). MSC: 35Q40 35P05 81Q20 PDF BibTeX XML Cite \textit{V. P. Maslov}, Theor. Math. Phys. 99, No. 1, 484--493 (1994; Zbl 0850.35083); translation from Teor. Mat. Fiz. 99, No. 1, 141--154 (1994) Full Text: DOI OpenURL
Hempel, Rainer; Voigt, Jürgen The spectrum of Schrödinger operators in \(L_ p(\mathbb{R}^ d)\) and in \(C_ 0(\mathbb{R}^ d)\). (English) Zbl 0822.47002 Demuth, Michael (ed.) et al., Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 70, 63-72 (1994). MSC: 47A10 47F05 47D06 46E30 35J10 PDF BibTeX XML Cite \textit{R. Hempel} and \textit{J. Voigt}, in: Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. 63--72 (1994; Zbl 0822.47002) OpenURL
Kvitsinsky, Andrei A. An exactly solvable class of discrete Schrödinger equations. (English) Zbl 0805.39007 J. Phys. A, Math. Gen. 27, No. 1, 215-218 (1994). Reviewer: E.Trofimtchouk (Kiev) MSC: 39A10 39A70 47B39 81Q05 33D15 PDF BibTeX XML Cite \textit{A. A. Kvitsinsky}, J. Phys. A, Math. Gen. 27, No. 1, 215--218 (1994; Zbl 0805.39007) Full Text: DOI OpenURL
Zhevandrov, Peter N. Semiclassical approximation for bound states of the Schrödinger equation with a Coulomb-like potential. (English) Zbl 0799.34084 J. Math. Phys. 35, No. 4, 1597-1621 (1994). MSC: 34L40 81Q05 34E20 PDF BibTeX XML Cite \textit{P. N. Zhevandrov}, J. Math. Phys. 35, No. 4, 1597--1621 (1994; Zbl 0799.34084) Full Text: DOI OpenURL
Kolokol’tsov, V. N. On the asymptotics of low eigenvalues and eigenfunctions of the Schrödinger operator. (English. Russian original) Zbl 0828.35033 Russ. Acad. Sci., Dokl., Math. 47, No. 1, 139-145 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 328, No. 6, 649-653 (1993). MSC: 35J10 35P99 81Q20 PDF BibTeX XML Cite \textit{V. N. Kolokol'tsov}, Russ. Acad. Sci., Dokl., Math. 47, No. 1, 1 (1993; Zbl 0828.35033); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 328, No. 6, 649--653 (1993) OpenURL
Khan, R. D.; Jialun, Zhang; Sheng, Ding; Wenda, Shen Evolution of a velocity-dependent quantum forced anharmonic oscillator. (English) Zbl 0809.35091 Int. J. Theor. Phys. 32, No. 11, 2023-2029 (1993). MSC: 35Q40 81V80 81Q05 PDF BibTeX XML Cite \textit{R. D. Khan} et al., Int. J. Theor. Phys. 32, No. 11, 2023--2029 (1993; Zbl 0809.35091) Full Text: DOI OpenURL
Ramond, Thierry Instability intervals for a Hill equation with meromorphic potential. (Intervalles d’instabilité pour une équation de Hill à potentiel méromorphe.) (French) Zbl 0790.34051 Bull. Soc. Math. Fr. 121, No. 3, 403-444 (1993). MSC: 34E20 81Q20 34M99 35J10 35C20 34L20 34L40 PDF BibTeX XML Cite \textit{T. Ramond}, Bull. Soc. Math. Fr. 121, No. 3, 403--444 (1993; Zbl 0790.34051) Full Text: DOI Numdam EuDML OpenURL
Lazutkin, Vladimir F. KAM theory and semiclassical approximations to eigenfunctions. With an addendum by A. I. Shnirelman. (English) Zbl 0814.58001 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. 24. Berlin: Springer-Verlag. ix, 387 p. (1993). Reviewer: Y.Asoo (Okayama) MSC: 58-02 58J50 37A30 81Q20 37Cxx 37J99 70Hxx 81Q05 35J10 35P20 35Q40 PDF BibTeX XML Cite \textit{V. F. Lazutkin}, KAM theory and semiclassical approximations to eigenfunctions. With an addendum by A. I. Shnirelman. Berlin: Springer-Verlag (1993; Zbl 0814.58001) OpenURL
Kauffman, Robert M. Expansion of continuous spectrum operators in terms of eigenprojections. (English) Zbl 0827.35084 Ames, W. F. (ed.) et al., Differential equations with applications to mathematical physics. Boston, MA: Academic Press, Inc. Math. Sci. Eng. 192, 189-199 (1993). Reviewer: P.Burda (Praha) MSC: 35P10 35Q40 81Q05 PDF BibTeX XML Cite \textit{R. M. Kauffman}, Math. Sci. Eng. 192, 189--199 (1993; Zbl 0827.35084) OpenURL
Hinz, Andreas M. Regularity of solutions for singular Schrödinger equations. (English) Zbl 0762.35023 Rev. Math. Phys. 4, No. 1, 95-161 (1992). Reviewer: M.Wiegner (Bayreuth) MSC: 35J10 35D10 35P05 PDF BibTeX XML Cite \textit{A. M. Hinz}, Rev. Math. Phys. 4, No. 1, 95--161 (1992; Zbl 0762.35023) Full Text: DOI OpenURL
März, Christoph Spectral asymptotics for Hill’s equation near the potential maximum. (English) Zbl 0786.34080 Asymptotic Anal. 5, No. 3, 221-267 (1992). Reviewer: J.P.Zubelli (Santa Cruz) MSC: 34L20 34L40 34E20 47E05 34B30 PDF BibTeX XML Cite \textit{C. März}, Asymptotic Anal. 5, No. 3, 221--267 (1992; Zbl 0786.34080) OpenURL
Lin, F. J.; Muckerman, J. T. Solution of the time-dependent Schrödinger equation employing a basis of explicit discrete-coordinate eigenfunctions: Spherical and azimuthal symmetry, adiabaticity, and multiphoton excitation of a rotating Morse oscillator. (English) Zbl 0850.65346 Comput. Phys. Commun. 63, No. 1-3, 538-568 (1991). MSC: 65Z05 65M70 65C05 35Q40 35Q55 81Q05 PDF BibTeX XML Cite \textit{F. J. Lin} and \textit{J. T. Muckerman}, Comput. Phys. Commun. 63, No. 1--3, 538--568 (1991; Zbl 0850.65346) Full Text: DOI OpenURL
Lévai, G. A class of exactly solvable potentials related to the Jacobi polynomials. (English) Zbl 0728.34092 J. Phys. A, Math. Gen. 24, No. 1, 131-146 (1991). Reviewer: H.Exton (Dunrossness) MSC: 34L40 34A05 33C45 81Q05 PDF BibTeX XML Cite \textit{G. Lévai}, J. Phys. A, Math. Gen. 24, No. 1, 131--146 (1991; Zbl 0728.34092) Full Text: DOI OpenURL
Dobrokhotov, S. Yu.; Kolokol’tsov, V. N.; Maslov, V. P. Splitting of the lowest energy levels of the Schrödinger equation and asymptotic behavior of the fundamental solution of the equation \(hu_ t=h^ 2\Delta u/2-V(x)u\). (English. Russian original) Zbl 0745.35033 Theor. Math. Phys. 87, No. 3, 561-599 (1991); translation from Teor. Mat. Fiz. 87, No. 3, 323-375 (1991). MSC: 35J10 35P20 81Q20 35B40 PDF BibTeX XML Cite \textit{S. Yu. Dobrokhotov} et al., Theor. Math. Phys. 87, No. 3, 561--599 (1991; Zbl 0745.35033); translation from Teor. Mat. Fiz. 87, No. 3, 323--375 (1991) Full Text: DOI OpenURL
Balint-Kurti, Gabriel G.; Ward, Christopher L.; Marston, C. Clay Two computer programs for solving the Schrödinger equation for bound-state eigenvalues and eigenfunctions using the Fourier grid Hamiltonian method. (English) Zbl 0875.65076 Comput. Phys. Commun. 67, No. 2, 285-292 (1991). MSC: 65L15 81-04 81Q05 34L15 34L40 PDF BibTeX XML Cite \textit{G. G. Balint-Kurti} et al., Comput. Phys. Commun. 67, No. 2, 285--292 (1991; Zbl 0875.65076) Full Text: DOI OpenURL
Novitskii, Michail On a complete description of the principal discrete series of spectral invariants of the Hill operator. (English) Zbl 0728.34090 Order, disorder and chaos in quantum systems, Proc. Conf., Dubna/USSR 1989, Oper. Theory, Adv. Appl. 46, 115-117 (1990). Reviewer: D.Robert (Nantes) MSC: 34L10 47E05 34B30 34L40 PDF BibTeX XML Cite \textit{M. Novitskii}, in: Order, disorder and chaos in quantum systems. Proceedings of a conference held at Dubna, USSR on October 17-21, 1989. Basel etc.: Birkhäuser Verlag. 115--117 (1990; Zbl 0728.34090) OpenURL
Jannussis, A.; Skaltsas, D. Harmonic oscillator with a complex parameter. (English) Zbl 0718.70009 Hadronic J. 13, No. 2, 89-99 (1990). MSC: 70H99 81Q05 35Q40 PDF BibTeX XML Cite \textit{A. Jannussis} and \textit{D. Skaltsas}, Hadronic J. 13, No. 2, 89--99 (1990; Zbl 0718.70009) OpenURL
Carmona, René; Masters, Wen Chen; Simon, Barry Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions. (English) Zbl 0716.35006 J. Funct. Anal. 91, No. 1, 117-142 (1990). Reviewer: D.Robert MSC: 35B40 35J10 35P99 PDF BibTeX XML Cite \textit{R. Carmona} et al., J. Funct. Anal. 91, No. 1, 117--142 (1990; Zbl 0716.35006) Full Text: DOI OpenURL
Minkin, A. M.; Shuster, L. A. On the spectral theory of operators of Schrödinger type. (Russian) Zbl 0780.35069 Izv. Akad. Nauk. Kaz. SSR, Ser. Fiz.-Mat. 1989, No. 5(150), 16-19 (1989). MSC: 35P05 35J10 47F05 PDF BibTeX XML Cite \textit{A. M. Minkin} and \textit{L. A. Shuster}, Izv. Akad. Nauk Kaz. SSR, Ser. Fiz.-Mat. 1989, No. 5(150), 16--19 (1989; Zbl 0780.35069) OpenURL
Darwish, A. A. On the scattering data for a boundary value problem on the half line. (English) Zbl 0724.34092 J. Math., Punjab Univ. 22, 1-18 (1989). Reviewer: I.Ginchev (Varna) MSC: 34L25 34L10 34B24 PDF BibTeX XML Cite \textit{A. A. Darwish}, J. Math., Punjab Univ. 22, 1--18 (1989; Zbl 0724.34092) OpenURL
Dunn, Dennis; Grieves, Brian A symmetric matrix method for Schrödinger eigenstates. (English) Zbl 0712.65078 J. Phys. A, Math. Gen. 22, No. 23, L1093-L1096 (1989). Reviewer: V.Burjan MSC: 65L15 81Q05 81V70 34L40 PDF BibTeX XML Cite \textit{D. Dunn} and \textit{B. Grieves}, J. Phys. A, Math. Gen. 22, No. 23, L1093--L1096 (1989; Zbl 0712.65078) Full Text: DOI OpenURL
Carmona, René Path integrals for relativistic Schrödinger operators. (English) Zbl 0712.35069 Schrödinger operators, Proc. Nord. Summer Sch. Math., Sandbjerg Slot, Sønderborg/Denmark 1988, Lect. Notes Phys. 345, 65-92 (1989). MSC: 35P05 60H05 81S40 35J10 35Q75 PDF BibTeX XML OpenURL
Kitada, Hitoshi Fundamental solutions and eigenfunction expansions for Schrödinger operators. III: Complex potentials. (English) Zbl 0696.35121 Sci. Pap. Coll. Arts Sci., Univ. Tokyo 39, No. 2, 109-123 (1989). Reviewer: H.Kitada MSC: 35P10 35J10 81Q05 PDF BibTeX XML Cite \textit{H. Kitada}, Sci. Pap. Coll. Arts Sci., Univ. Tokyo 39, No. 2, 109--123 (1989; Zbl 0696.35121) OpenURL
Eckert, Michael Solving the 1-, 2-, and 3-dimensional Schrödinger equation for multiminima potentials using the Numerov-Cooley method. An extrapolation formula for energy eigenvalues. (English) Zbl 0676.65130 J. Comput. Phys. 82, No. 1, 147-160 (1989). Reviewer: P.Burda MSC: 65Z05 65N25 65L15 35P15 34L99 35J10 81Q05 PDF BibTeX XML Cite \textit{M. Eckert}, J. Comput. Phys. 82, No. 1, 147--160 (1989; Zbl 0676.65130) Full Text: DOI OpenURL
Balabane, Mikhael; Cazenave, Thierry; Douady, Adrien; Merle, Frank Existence of excited states for a nonlinear Dirac field. (English) Zbl 0696.35158 Commun. Math. Phys. 119, No. 1, 153-176 (1988). MSC: 35Q99 81Q05 37J99 PDF BibTeX XML Cite \textit{M. Balabane} et al., Commun. Math. Phys. 119, No. 1, 153--176 (1988; Zbl 0696.35158) Full Text: DOI OpenURL