Motion Caused by Magnetic Field in Lobachevsky Space

Journal Article · Wed Mar 24 00:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3382314· OSTI ID:21371316

Kudryashov, V V; Kurochkin, Yu A; Ovsiyuk, E M; Red'kov, V M ^[1]

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1. Institute of Physics, National Academy of Sciences of Belarus, 68 Nezavisimosti Ave., 220072, Minsk (Belarus)

We study motion of a relativistic particle in the 3-dimensional Lobachevsky space in the presence of an external magnetic field which is analogous to a constant uniform magnetic field in the Euclidean space. Three integrals of motion are found and equations of motion are solved exactly in the special cylindrical coordinates. Motion on surface of the cylinder of constant radius is considered in detail.

• OSTI ID: 21371316
• Journal Information: AIP Conference Proceedings, Vol. 1205, Issue 1; Conference: International conference in honor of Ya.B. Zeldovich's 95. anniversary on the sun, the stars, the Universe and general relativity, Minsk (Belarus), 20-23 Apr 2009; Other Information: DOI: 10.1063/1.3382314; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR VELOCITY
COORDINATES
EQUATIONS OF MOTION
EUCLIDEAN SPACE
INTEGRAL EQUATIONS
LAGRANGIAN FIELD THEORY
LOBACHEVSKY GEOMETRY
MAGNETIC FIELDS
RELATIVISTIC RANGE
THREE-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
FIELD THEORIES
GEOMETRY
MATHEMATICAL SPACE
MATHEMATICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
RIEMANN SPACE
SPACE
VELOCITY