skip to main content

Title: Motion Caused by Magnetic Field in Lobachevsky Space

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.
Authors:
; ; ;  [1]
  1. Institute of Physics, National Academy of Sciences of Belarus, 68 Nezavisimosti Ave., 220072, Minsk (Belarus)
Publication Date:
OSTI Identifier:
21371316
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1205; Journal 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
Country of Publication:
United States
Language:
English
Subject:
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