Magnetic field in the Lobachevsky space and related integrable systems

Otchik, V S; Ovsiyuk, E M

doi:10.1134/S1063778812100122

Title: Magnetic field in the Lobachevsky space and related integrable systems

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Abstract

Various possibilities to define analogs of the uniform magnetic field in the Lobachevsky space are considered using different coordinate systems in this space. Quantum mechanical problem of motion in the defined fields is also treated. Variables in the Schroedinger equation are separated and diagonal operators are found. For some cases, exact solutions are obtained.

Authors:

Otchik, V S; Ovsiyuk, E M ^[1]

National Academy of Sciences of Belarus, Institute of Physics (Belarus)

Publication Date:: Mon Oct 15 00:00:00 EDT 2012

OSTI Identifier:: 22069327

Resource Type:: Journal Article

Journal Name:: Physics of Atomic Nuclei

Additional Journal Information:: Journal Volume: 75; Journal Issue: 10; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7788

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COORDINATES; EXACT SOLUTIONS; INTEGRAL CALCULUS; LOBACHEVSKY GEOMETRY; MAGNETIC FIELDS; QUANTUM MECHANICS; QUANTUM OPERATORS; SCHROEDINGER EQUATION; SPACE

Citation Formats


                    Kurochkin, Yu. A., E-mail: yukuroch@dragon.bas-net.by, Otchik, V S, and Ovsiyuk, E M. Magnetic field in the Lobachevsky space and related integrable systems.  United States: N. p., 2012. 
        Web.  doi:10.1134/S1063778812100122.

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                    Kurochkin, Yu. A., E-mail: yukuroch@dragon.bas-net.by, Otchik, V S, & Ovsiyuk, E M. Magnetic field in the Lobachevsky space and related integrable systems.  United States.  https://doi.org/10.1134/S1063778812100122

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                    Kurochkin, Yu. A., E-mail: yukuroch@dragon.bas-net.by, Otchik, V S, and Ovsiyuk, E M. 2012.  
        "Magnetic field in the Lobachevsky space and related integrable systems".  United States.  https://doi.org/10.1134/S1063778812100122.

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@article{osti_22069327,

  title        = {Magnetic field in the Lobachevsky space and related integrable systems},

  author       = {Kurochkin, Yu. A., E-mail: yukuroch@dragon.bas-net.by and Otchik, V S and Ovsiyuk, E M},

  abstractNote = {Various possibilities to define analogs of the uniform magnetic field in the Lobachevsky space are considered using different coordinate systems in this space. Quantum mechanical problem of motion in the defined fields is also treated. Variables in the Schroedinger equation are separated and diagonal operators are found. For some cases, exact solutions are obtained.},

  doi          = {10.1134/S1063778812100122},

  url          = {https://www.osti.gov/biblio/22069327},
  journal      = {Physics of Atomic Nuclei},

  issn         = {1063-7788},

  number       = 10,

  volume       = 75,

  place        = {United States},

  year         = {Mon Oct 15 00:00:00 EDT 2012},

  month        = {Mon Oct 15 00:00:00 EDT 2012}

}

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