Two-dimensional imaginary lobachevsky space. Separation of variables and contractions

Journal Article · Fri Jul 15 00:00:00 EDT 2011 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S106377881106024X· OSTI ID:22043884

Yakhno, A ^[1]

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1. Universidad de Guadalajara, Departamento de Matematicas, CUCEI (Mexico)

The Inoenue-Wigner contraction from the SO(2, 1) group to the E(1, 1) group is used to relate the separation of variables in Laplace-Beltrami (Helmholtz) equations for the corresponding two-dimensional homogeneous spaces: two-dimensional one sheeted hyperboloid and two-dimensional pseudo-Euclidean space. Here we consider the contraction limits of some basis functions for the subgroup coordinates only.

• OSTI ID: 22043884
• Journal Information: Physics of Atomic Nuclei, Vol. 74, Issue 7; Other Information: Copyright (c) 2011 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
EUCLIDEAN SPACE
LOBACHEVSKY GEOMETRY
SO GROUPS
TWO-DIMENSIONAL CALCULATIONS