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Found 124 Documents (Results 1–100)

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Grishechkin, Yu. A.; Kapshai, V. N.

Approximate analytic solution of the Logunov-Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation. (English. Russian original) Zbl 1515.81090

Theor. Math. Phys. 211, No. 3, 826-837 (2022); translation from Teor. Mat. Fiz. 211, No. 3, 455-468 (2022).
MSC:  81Q05 34B24 34L40 34A45
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\textit{Yu. A. Grishechkin} and \textit{V. N. Kapshai}, Theor. Math. Phys. 211, No. 3, 826--837 (2022; Zbl 1515.81090); translation from Teor. Mat. Fiz. 211, No. 3, 455--468 (2022)
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Guseinov, I. M.; Khanmamedov, A. Kh.; Mamedova, A. F.

Inverse scattering problem for the Schrödinger equation with an additional quadratic potential on the entire axis. (English. Russian original) Zbl 1401.81047

Theor. Math. Phys. 195, No. 1, 538-547 (2018); translation from Teor. Mat. Fiz. 195, No. 1, 54-63 (2018).
MSC:  81Q05 81U40 34L40 34L25
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\textit{I. M. Guseinov} et al., Theor. Math. Phys. 195, No. 1, 538--547 (2018; Zbl 1401.81047); translation from Teor. Mat. Fiz. 195, No. 1, 54--63 (2018)
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Monovasilis, Th.; Kalogiratou, Z.; Simos, T. E.

A phase-fitted symplectic partitioned Runge-Kutta methods for the numerical solution of the Schrödinger equation. (English) Zbl 1182.65127

Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 1595-1599 (2009).
MSC:  65L15 34L16 34L40 65P10 37M15 65L06 65L70
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\textit{Th. Monovasilis} et al., AIP Conf. Proc. 1168, 1595--1599 (2009; Zbl 1182.65127)
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Cohen-Tannoudji, Claude; Diu, Bernard; Laloë, Frank

Quantum mechanics. Vol. 1. Translated from the French original by Joachim v. Streubel and Jochen Balla. 4th revised ed. (Quantenmechanik. Band 1. Übersetzt aus dem Französischen von Joachim v. Streubel und Jochen Balla.) (German) Zbl 1170.81003

Berlin: de Gruyter (ISBN 978-3-11-021519-9/hbk). xviii, 722 p. (2009).
Reviewer: Claudia-Veronika Meister (Darmstadt)
MSC:  81-01
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\textit{C. Cohen-Tannoudji} et al., Quantenmechanik. Band 1. Übersetzt aus dem Französischen von Joachim v. Streubel und Jochen Balla. 4th revised ed. Berlin: de Gruyter (2009; Zbl 1170.81003)
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Voros, André

From exact-WKB toward singular quantum perturbation theory. II. (English) Zbl 1139.81348

Aoki, Takashi (ed.) et al., Algebraic analysis of differential equations. From microlocal analysis to exponential asymptotics. Festschrift in honor of Takahiro Kawai. Containing papers presented at the conference on algebraic analysis of differential equations–from microlocal analysis to exponential asymptotics, Kyoto, Japan, July 7–14, 2005. Tokyo: Springer (ISBN 978-4-431-73239-6/hbk). 321-334 (2007).
MSC:  81Q20 34E20 34L40 81Q15
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\textit{A. Voros}, in: Algebraic analysis of differential equations. From microlocal analysis to exponential asymptotics. Festschrift in honor of Takahiro Kawai. Containing papers presented at the conference on algebraic analysis of differential equations--from microlocal analysis to exponential asymptotics, Kyoto, Japan, July 7--14, 2005. Tokyo: Springer. 321--334 (2007; Zbl 1139.81348)
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Hilger, Stefan

The harmonic oscillator – an extension via measure chains. (English) Zbl 1117.39321

Elaydi, Saber (ed.) et al., Proceedings of the 8th international conference on difference equations and applications (ICDEA 2003), Masaryk University, Brno, Czech Republic, July 28–August 1, 2003. Boca Raton, FL: Chapman & Hall/CRC (ISBN 1-58488-536-X/hbk). 155-170 (2005).
MSC:  39A12 39A70 34L40 65L15
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\textit{S. Hilger}, in: Proceedings of the 8th international conference on difference equations and applications (ICDEA 2003), Masaryk University, Brno, Czech Republic, July 28--August 1, 2003. Boca Raton, FL: Chapman \& Hall/CRC. 155--170 (2005; Zbl 1117.39321)
Chelkak, Dmitri; Kargaev, Pavel; Korotyaev, Evgeni

Inverse problem for harmonic oscillator perturbed by potential. (English) Zbl 1073.34013

Isozaki, Hiroshi (ed.), Inverse problems and spectral theory. Proceedings of the workshop on spectral theory of differential operators and inverse problems, Kyoto University, Kyoto, Japan, October 28–November 1, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3421-5/pbk). Contemporary Mathematics 348, 93-102 (2004).
Reviewer: Michael Baro (Berlin)
MSC:  34A55 34L40 81Q10 30D55
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\textit{D. Chelkak} et al., Contemp. Math. 348, 93--102 (2004; Zbl 1073.34013)
Álvarez, Gabriel; Howls, Christopher J.; Silverstone, Harris J.

Connection formula, hyperasymptotics, and Schrödinger eigenvalues: Dispersive hyperasymptotics and the anharmonic oscillator. (English) Zbl 0990.34073

Howls, Christopher J. (ed.) et al., Toward the exact WKB analysis of differential equations, linear or non-linear. Papers from the symposium on algebraic analysis of singular perturbations, Kyoto, Japan, November 30-December 5, 1998. Kyoto: Kyoto University Press. 121-134 (2000).
Reviewer: Shun Shimomura (Yokohama)
MSC:  34L40 34E05 34L20 33C10 81Q05
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\textit{G. Álvarez} et al., in: Toward the exact WKB analysis of differential equations, linear or non-linear. Papers from the symposium on algebraic analysis of singular perturbations, Kyoto, Japan, November 30--December 5, 1998. Kyoto: Kyoto University Press. 121--134 (2000; Zbl 0990.34073)
Handy, C. R.; Murenzi, R.

Continuous wavelet transform analysis of one-dimensional quantum ground states. (English) Zbl 0976.34072

Dubuc, Serge (ed.) et al., Spline functions and the theory of wavelets. Providence, RI: AMS, American Mathematical Society. CRM Proc. Lect. Notes. 18, 303-314 (1999).
Reviewer: N.D.Sengupta (Mumbai)
MSC:  34L40 81Q05 44A60
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\textit{C. R. Handy} and \textit{R. Murenzi}, in: Spline functions and the theory of wavelets. Providence, RI: AMS, American Mathematical Society. 303--314 (1999; Zbl 0976.34072)
Dobrokhotov, S. Yu.; Olivé, V. M.

Lissajoux figures, two-dimensional tori, and spectral series of the three-dimensional anharmonic oscillator. (English. Russian original) Zbl 0866.34073

St. Petersbg. Math. J. 8, No. 2, 273-279 (1997); translation from Algebra Anal. 8, No. 2, 121-128 (1996).
MSC:  34L40
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\textit{S. Yu. Dobrokhotov} and \textit{V. M. Olivé}, St. Petersbg. Math. J. 8, No. 2, 121--128 (1996; Zbl 0866.34073); translation from Algebra Anal. 8, No. 2, 121--128 (1996)
Budaev, Yu. O.; Karavaev, A. G.

Quasiclassical trajectory-coherent states for a Caldirola-Kanai oscillator. (English. Russian original) Zbl 0937.81030

Russ. Phys. J. 38, No. 2, 177-185 (1995); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 1995, No. 2, 85-89 (1995).
MSC:  81R30 81Q05
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\textit{Yu. O. Budaev} and \textit{A. G. Karavaev}, Russ. Phys. J. 38, No. 2, 177--185 (1995; Zbl 0937.81030); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 1995, No. 2, 85--89 (1995)
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Samsonov, B. F.; Ovcharov, I. N.

Darboux transformation and nonclassical orthogonal polynomials. (English. Russian original) Zbl 0944.34070

Russ. Phys. J. 38, No. 4, 378-384 (1995); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 1995, No. 4, 58-65 (1995).
MSC:  34L40 81Q05 33C45 34A05 34A25 44A15
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\textit{B. F. Samsonov} and \textit{I. N. Ovcharov}, Russ. Phys. J. 38, No. 4, 378--384 (1995; Zbl 0944.34070); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 1995, No. 4, 58--65 (1995)
Full Text: DOI
Samsonov, B. F.; Ovcharov, I. N.

Darboux transformation and exactly solvable potentials with quasi-equidistant spectrum. (English. Russian original) Zbl 0942.34073

Russ. Phys. J. 38, No. 8, 765-771 (1995); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 1995, No. 8, 3-10 (1995).
MSC:  34L40 81U05 34A05 44A15 81Q05
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\textit{B. F. Samsonov} and \textit{I. N. Ovcharov}, Russ. Phys. J. 38, No. 8, 765--771 (1995; Zbl 0942.34073); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 1995, No. 8, 3--10 (1995)
Full Text: DOI
Avdelas, G.; Simos, T. E.

A finite difference scheme for computing eigenvalues of the specific Schrödinger equations. (English) Zbl 0880.65063

Bainov, Drumi (ed.) et al., Proceedings of the 3rd international colloquium on numerical analysis, Plovdiv, Bulgaria, August 13–17, 1994. Invited lectures and short communications. Singapore: SCT Publishing, 13-27 (1995).
MSC:  65L15 34L15 34L40 65L12
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\textit{G. Avdelas} and \textit{T. E. Simos}, in: Proceedings of the 3rd international colloquium on numerical analysis, Plovdiv, Bulgaria, August 13--17, 1994. Invited lectures and short communications. Singapore: SCT Publishing. 13--27 (1995; Zbl 0880.65063)

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