FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(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

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In this article we establish a connection between the confluent Heun equation (with two singularities $0$ and $$¥) and the Schrödinger equation for the hydrogen atom with two accessory parameters $$m and $$n, which "influence" the spectrum of eigenvalues and the Coulomb potential.

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Last modified: April 11, 2000