Magnetic field in the Lobachevsky space and related integrable systems

Journal Article · Mon Oct 15 00:00:00 EDT 2012 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778812100122· OSTI ID:22069327

Otchik, V S; Ovsiyuk, E M ^[1]

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

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.

• OSTI ID: 22069327
• Journal Information: Physics of Atomic Nuclei, Vol. 75, Issue 10; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

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