Eigenfunction expansions in the imaginary Lobachevsky space
Mathematical Physics
2017-09-13 v1 math.MP
Quantum Physics
Abstract
Eigenfunctions of the Schrodinger 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.
Cite
@article{arxiv.1603.07971,
title = {Eigenfunction expansions in the imaginary Lobachevsky space},
author = {Yu. A. Kurochkin and V. S. Otchik and D. R. Petrosyan and G. S. Pogosyan},
journal= {arXiv preprint arXiv:1603.07971},
year = {2017}
}