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

Abstract

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.

Authors:
;  [1]
  1. Universidad de Guadalajara, Departamento de Matematicas, CUCEI (Mexico)
Publication Date:
OSTI Identifier:
22043884
Resource Type:
Journal Article
Journal Name:
Physics of Atomic Nuclei
Additional Journal Information:
Journal Volume: 74; Journal Issue: 7; Other Information: Copyright (c) 2011 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; EUCLIDEAN SPACE; LOBACHEVSKY GEOMETRY; SO GROUPS; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Pogosyan, G. S., E-mail: pogosyan@theor.jinr.ru, and Yakhno, A. Two-dimensional imaginary lobachevsky space. Separation of variables and contractions. United States: N. p., 2011. Web. doi:10.1134/S106377881106024X.
Pogosyan, G. S., E-mail: pogosyan@theor.jinr.ru, & Yakhno, A. Two-dimensional imaginary lobachevsky space. Separation of variables and contractions. United States. doi:10.1134/S106377881106024X.
Pogosyan, G. S., E-mail: pogosyan@theor.jinr.ru, and Yakhno, A. Fri . "Two-dimensional imaginary lobachevsky space. Separation of variables and contractions". United States. doi:10.1134/S106377881106024X.
@article{osti_22043884,
title = {Two-dimensional imaginary lobachevsky space. Separation of variables and contractions},
author = {Pogosyan, G. S., E-mail: pogosyan@theor.jinr.ru and Yakhno, A.},
abstractNote = {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.},
doi = {10.1134/S106377881106024X},
journal = {Physics of Atomic Nuclei},
issn = {1063-7788},
number = 7,
volume = 74,
place = {United States},
year = {2011},
month = {7}
}