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arXiv · 2506.06827

Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis

G. S. Pogosyan·A. Yakhno
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Abstract

The paper describes solutions of the Laplace-Beltrami equation on two-dimensional two-sheeted hyperboloid for three non-subgroup coordinate systems: semi-sircular parabolic, elliptic parabolic and hyperbolic parabolic. The coefficients of interbasis expansions of solutions in the specified coordinate systems through some subgroup bases are calculated. A contraction procedure for all normalized eigenfunctions in three non-subgroup coordinate systems from the hyperboloid to the Euclidean plane is realized.

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G. S. Pogosyan, A. Yakhno. 2025-06-07. Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis. https://arxiv.org/abs/2506.06827

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