Eigenfunction expansions in the imaginary Lobachevsky space

Yu. A. Kurochkin; V. S. Otchik; D. R. Petrosyan; G. S. Pogosyan

doi:10.1134/S1063778817040135

Eigenfunction expansions in the imaginary Lobachevsky space

作者: Kurochkin Y.A.¹, Otchik V.S.¹, Petrosyan D.R.², Pogosyan G.S.²^,3^,4
隶属关系:
1. B. I. Stepanov Institute of Physics
2. Joint Institute for Nuclear Research
3. Departamento de Matematicas, CUCEI
4. Yerevan State University
期: 卷 80, 编号 4 (2017)
页面: 730-738
栏目: Elementary Particles and Fields
URL: https://journal-vniispk.ru/1063-7788/article/view/192224
DOI: https://doi.org/10.1134/S1063778817040135
ID: 192224

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详细

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.