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.

Title

Journal of the Association of Arab Universities for Basic and Applied Sciences Volume 9, Issue 1, October 2010, Pages 18-22

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Publisher Country

Palestine

Publication Type

Both (Printed and Online)

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Year

2010

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