Some Remarks On Approximation Methods For Quantum Systems In Higher Space Dimensions

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Journal Title, Volume, Page: 
Journal of the Association of Arab Universities for Basic and Applied Sciences Volume 9, Issue 1, October 2010, Pages 18-22
Year of Publication: 
Sami M. Al-Jaber
Palestine Technical University, Kadoorie, Tulkarm, Palestine
Current Affiliation: 
Department of Physics, Faculty of Sciences, An-Najah National University, Palestine
Preferred Abstract (Original): 

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.

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