Eigenfunction expansions in the imaginary Lobachevsky space
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.
- Publication:
-
Physics of Atomic Nuclei
- Pub Date:
- July 2017
- DOI:
- 10.1134/S1063778817040135
- arXiv:
- arXiv:1603.07971
- Bibcode:
- 2017PAN....80..730K
- Keywords:
-
- Mathematical Physics;
- Quantum Physics
- E-Print:
- doi:10.1134/S1063778817040135