Email this article Eigenfunction expansions in the imaginary Lobachevsky space
- Authors: Kurochkin Y.A.1, Otchik V.S.1, Petrosyan D.R.2, Pogosyan G.S.2,3,4
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Affiliations:
- B. I. Stepanov Institute of Physics
- Joint Institute for Nuclear Research
- Departamento de Matematicas, CUCEI
- Yerevan State University
- Issue: Vol 80, No 4 (2017)
- Pages: 730-738
- Section: Elementary Particles and Fields
- URL: https://journals.rcsi.science/1063-7788/article/view/192224
- DOI: https://doi.org/10.1134/S1063778817040135
- ID: 192224
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Abstract
Eigenfunctions of the Schrödinger equation with the Coulomb potential in the imaginary Lobachevsky space are studied in two coordinate systems admitting solutions in terms of hypergeometric functions. Normalization and coefficients of mutual expansions for some sets of solutions are found.
About the authors
Yu. A. Kurochkin
B. I. Stepanov Institute of Physics
Author for correspondence.
Email: yukuroch@bas-net.by
Belarus, Minsk
V. S. Otchik
B. I. Stepanov Institute of Physics
Email: yukuroch@bas-net.by
Belarus, Minsk
D. R. Petrosyan
Joint Institute for Nuclear Research
Email: yukuroch@bas-net.by
Russian Federation, Dubna, Moscow oblast
G. S. Pogosyan
Joint Institute for Nuclear Research; Departamento de Matematicas, CUCEI; Yerevan State University
Email: yukuroch@bas-net.by
Russian Federation, Dubna; Guadalajara; Yerevan
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