Quantum-mechanical systems restricted by impenetrable barriers studied by a perturbation method

I. Gonda; Brian F. Gray

doi:10.1039/F29757102016

Quantum-mechanical systems restricted by impenetrable barriers studied by a perturbation method

I. Gonda, Brian F. Gray^*

^*Corresponding author for this work

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

14 Citations (Scopus)

Abstract

A systematic perturbation method to calculate the explicit dependence of energy on the position of the repulsive barrier (or barriers) in one-dimensional non-degenerate systems is presented. The method is also capable of dealing with anisotropic shifts of the boundaries. Two simple applications illustrate the general principles (particle in a box and compression of the ground state of the hydrogen atom).

Original language	English
Pages (from-to)	2016-2024
Number of pages	9
Journal	Journal of the Chemical Society, Faraday Transactions 2: Molecular and Chemical Physics
Volume	71
DOIs	https://doi.org/10.1039/F29757102016
Publication status	Published - 1975
Externally published	Yes

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10.1039/F29757102016

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title = "Quantum-mechanical systems restricted by impenetrable barriers studied by a perturbation method",

abstract = "A systematic perturbation method to calculate the explicit dependence of energy on the position of the repulsive barrier (or barriers) in one-dimensional non-degenerate systems is presented. The method is also capable of dealing with anisotropic shifts of the boundaries. Two simple applications illustrate the general principles (particle in a box and compression of the ground state of the hydrogen atom).",

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AU - Gonda, I.

AU - Gray, Brian F.

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AB - A systematic perturbation method to calculate the explicit dependence of energy on the position of the repulsive barrier (or barriers) in one-dimensional non-degenerate systems is presented. The method is also capable of dealing with anisotropic shifts of the boundaries. Two simple applications illustrate the general principles (particle in a box and compression of the ground state of the hydrogen atom).

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U2 - 10.1039/F29757102016

DO - 10.1039/F29757102016

M3 - Article

AN - SCOPUS:0039938691

SN - 0300-9238

VL - 71

SP - 2016

EP - 2024

JO - Journal of the Chemical Society, Faraday Transactions 2: Molecular and Chemical Physics

JF - Journal of the Chemical Society, Faraday Transactions 2: Molecular and Chemical Physics

ER -

Quantum-mechanical systems restricted by impenetrable barriers studied by a perturbation method

Abstract

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