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Fizika : a journal of experimental and theoretical physics, Vol. 23 No. 1, 1991.

Original scientific paper

Exact solution of the Schrödinger equation for the central nonpolynomial potential V (r) = r2 + λr2/(1 + gr2) in two and three dimensions

S. K. Bose ; Physics Department, Gorakhpur University, Gorakhpur - 273009, India
Neerja Varma ; Physics Department, Gorakhpur University, Gorakhpur - 273009, India

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Abstract

We derive here a class of exact solution of the Schrödinger equation for the central nonpolynomial potential V (r) = r2 + λr2/(1 + gr2) in two and three dimensions by using two suitable ansätze. This potential is relevant in the context of laser physics and quantum field theory. The eigenfunctions and eigenvalues obtained here may, therefore, be useful for application in lasers and field theory.

Keywords

Hrčak ID:

331791

URI

https://hrcak.srce.hr/331791

Publication date:

7.1.1991.

Article data in other languages: croatian

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