(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 1, PAGES 311-314

## The confluent Heun equation with two singularities and the modified Schrödinger equation with two accessory parameters

V. F. Tarasov

Abstract

View as HTML     View as gif image    View as LaTeX source

 In this article we establish a connection between the confluent Heun equation (with two singularities $0$ and $\infty$) and the Schr\"odinger equation for the hydrogen atom with two accessory parameters $\mu$ and $\nu$, which influence'' the spectrum of eigenvalues and the Coulomb potential. 

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k00/k001/k00128t.htm