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Short communications

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

V. F. Tarasov

Bryansk Institute of Transport Engineering

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

UDC: 517.566+517.923

Received: 01.01.1997

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