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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2016, Volume 103, Issue 7, Pages 552–556
DOI: https://doi.org/10.7868/S0370274X16070122 (Mi jetpl4913) 		 
This article is cited in 5 scientific papers (total in 5 papers)

METHODS OF THEORETICAL PHYSICS

Two new integrable cases of two-dimensional quantum mechanics with a magnetic field

V. G. Marikhin

Landau Institute for Theoretical Physics of the RAS, 119334 Chernogolovka, Russia
Full-text PDF (129 kB) Citations (5)
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DOI: https://doi.org/10.7868/S0370274X16070122
Abstract: Two integrable cases of two-dimensional Schrödinger equation with a magnetic field are proposed. Using the polar coordinates and the symmetrical gauge, we will obtain solutions of these equation through Biconfluent and Confluent Heun functions. The quantization rules will be derived for both systems under consideration.
Received: 12.02.2016
Revised: 24.02.2016
English version:
Journal of Experimental and Theoretical Physics Letters, 2016, Volume 103, Issue 7, Pages 489–493
DOI: https://doi.org/10.1134/S0021364016070092
Bibliographic databases:
Document Type: Article
Language: English
Citation: V. G. Marikhin, “Two new integrable cases of two-dimensional quantum mechanics with a magnetic field”, Pis'ma v Zh. Èksper. Teoret. Fiz., 103:7 (2016), 552–556; JETP Letters, 103:7 (2016), 489–493
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/jetpl4913
  • https://www.mathnet.ru/eng/jetpl/v103/i7/p552
    • This publication is cited in the following 5 articles:
    1. H. R. Rastegar Sedehi, A. Arda, R. Sever, Opt. Quantum Electron., 53:3 (2021), 142  crossref  isi
    2. H. M. Siahaan, Eur. Phys. J. C, 80:5 (2020), 387  crossref  isi  scopus
    3. A. V. Marikhina, V. G. Marikhin, Theoret. and Math. Phys., 197:3 (2018), 1797–1805  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    4. V. G. Marikhin, JETP Letters, 106:9 (2017), 600–603  mathnet  crossref  crossref  isi  elib
    5. A. Marchesiello, L. Snobl, J. Phys. A-Math. Theor., 50:24 (2017), 245202  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    References:65
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