Calculation of the Discrete Spectrum of some Two-Dimensional Schrödinger Equations with a Magnetic Field-Reference-Cited by-同舟云学术

Calculation of the Discrete Spectrum of some Two-Dimensional Schrödinger Equations with a Magnetic Field

Published:2018-12 Issue:3 Volume:197 Page:1797-1805
ISSN:0040-5779
Container-title:Theoretical and Mathematical Physics
language:en
Short-container-title:Theor Math Phys

Author:

Marikhina A. V.,Marikhin V. G.

Publisher

Pleiades Publishing Ltd

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1134/S0040577918120097.pdf

Reference8 articles.

1. M. Planck, “Über eine Verbesserung der Wienschen Spectralgleichung,” Verhandl. Dtsc. Phys. Ges., 2, 202–204 (1900).

2. E. Schrödinger, “Quantisierung als Eigenwertproblem,” Ann. Phys., 384, 361–376 (1926).

3. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics [in Russian], Vol. 3, Quantum Mechanics: Nonrelativistic Theory, Nauka, Moscow (1989); English transl. prev. ed., Pergamon, Oxford (1977).

4. V. G. Marikhin, “Two new integrable cases of two-dimensional quantum mechanics with a magnetic ield,” JETP Lett., 103, 489–493 (2016).

5. A. Turbiner, “Quasi-exactly-solvable problems and sl(2) algebra,” Commun. Math. Phys., 118, 467 (1988).

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