Two-dimensional imaginary lobachevsky space. Separation of variables and contractions |
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| Authors: | G. S. Pogosyan A. Yakhno |
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| Affiliation: | 1.Departamento de Matematicas, CUCEI,Universidad de Guadalajara,Jalisco,Mexico;2.Bogoliubov Laboratory of Theoretical Physics,Joint Institute for Nuclear Research,Dubna,Russia;3.International Center for Advanced Studies,Yerevan State University,Yerevan,Armenia |
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| Abstract: | The Inönü-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. |
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