On the Schrodinger equation with a Gaussian potential

M. Cohen

doi:10.1088/0305-4470/17/3/002

On the Schrodinger equation with a Gaussian potential

M. Cohen^*

^*Corresponding author for this work

Institute of Chemistry

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

Eigenvalues and approximate eigenfunctions of the Schrodinger equation with an attractive radial Gaussian potential are obtained from a first-order perturbation treatment based on a scale harmonic oscillator model. The bound-state energies are of comparable accuracy to those obtained using high-order perturbation theory by numerical integration.

Original language	English
Pages (from-to)	L101-L104
Journal	Journal of Physics A: Mathematical and General
Volume	17
Issue number	3
DOIs	https://doi.org/10.1088/0305-4470/17/3/002
State	Published - 21 Feb 1984

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title = "On the Schrodinger equation with a Gaussian potential",

abstract = "Eigenvalues and approximate eigenfunctions of the Schrodinger equation with an attractive radial Gaussian potential are obtained from a first-order perturbation treatment based on a scale harmonic oscillator model. The bound-state energies are of comparable accuracy to those obtained using high-order perturbation theory by numerical integration.",

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On the Schrodinger equation with a Gaussian potential

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