Some remarks on approximation methods for quantum systems in higher space dimensions

We consider the effect of space dimension N, on the results predicted by two approximation techniques applied on physical quantum systems. In the first, we apply degenerate perturbation theory to perturbed N-dimensional infinite cubical well. It is found that the energy difference for splitting decr...

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Bibliographic Details
Published in:Journal of the Association of Arab Universities for Basic & Applied Sciences 2010, Vol.9 (1), p.18-22
Main Author: Al-Jaber, Sami M.
Format: Article
Language:English
Subjects:
Foundations
Quantum mechanics
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Summary:We consider the effect of space dimension N, on the results predicted by two approximation techniques applied on physical quantum systems. In the first, we apply degenerate perturbation theory to perturbed N-dimensional infinite cubical well. It is found that the energy difference for splitting decreases as N increases and it vanishes in the infinite dimensional space. In the second, we apply the sudden approximation to the electronic structure change implied by beta-decay of the tritium nucleus. It is found that as N increases the ionization probability increases.
ISSN:1815-3852
1815-3852
DOI:10.1016/j.jaubas.2010.12.005