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Journal of Science of Teachers' College and University

The Schrdinger equation with three parameter potential by method of factorization

Kexuan Li

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

By method of factorization,Schrdinger equation with three parameter potential for diatomic molecules is solved,and exact energy levels and corresponding wave functions are obtained.It is shown that the method of factorization is simple for mathematical manipulation and has practical value to obtain exact solutions of bounded states.

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Abstract The equation of Schrodinger is a fundamental mathematical framework used to clarify the motion of the wave form, which is a phenomenon in the field of quantum physics. A method's wave function contains the complete description of its particles. The computational solution of the Schrodinger problem is a multifaceted problem. The eigenvalues and typical functions of the modified Kratzer plus Hulthen potential were ascertained analytically in this study. This study used an estimating approach that Nikiforov-Uvarov functional analysis had suggested for dealing with the problem. Estimating energy spectra and applying the results to certain specific diatomic molecules was the aim. The excellent results obtained from this strategy were confirmed by comparing our eigenvalue data with additional numerical data that was gathered by other researchers.