Journal Title, Volume, Page:

II Nuovo Cimento B Series 11, Volume 107, Issue 1, pp 23-37
Year of Publication:

1992
Preferred Abstract (Original):

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:

2010
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.

Journal Title, Volume, Page:

IL. Nuovo Cimento, 112B, No. 5, 761
Year of Publication:

1997
Preferred Abstract (Original):

We consider the equation for the radial part of the wave function of the Schrodinger equation in the N-dimensional space. A new effective potential is derived when the equation for the radial part of the wave function is written in the form of a one-dimensional Schrodinger equation. As a constructive example, we find and discuss the solution, the orthonormality, and the energy eigenvalues of the radial part of the wave function for an infinite spherical potential well in N dimensions.

Journal Title, Volume, Page:

Il Nuovo Cimento B, Volume 113, Issue 05, p.651
Year of Publication:

1998
Preferred Abstract (Original):

The fine structure of energy levels of a hydrogen atom in N dimensions is given. This is done by calculating the first-order energy corrections due to the relativistic correction to kinetic energy, spin-orbit coupling, and Darwin term. Thus we emphasize the role of the topological structure of the configuration space of a physical system on the quantum nature of an observable of the system.

Journal Title, Volume, Page:

Int. J. Theor. Phys., Vol. 47, no.7, 1853-1864.
Year of Publication:

2008
Preferred Abstract (Original):

We compute the energy eigenvalues for the N-dimensional harmonic oscillator confined in an impenetrable spherical cavity. The results show their dependence on the size of the cavity and the space dimension N. The obtained results are compared with those for the free N-dimensional harmonic oscillator, and as a result, the notion of fractional dimensions is pointed out. Finally, we examine the correlation between eigenenergies for confined oscillators in different dimensions

Journal Title, Volume, Page:

Union Arab Journal., Vol.6, p.1-13
Year of Publication:

2008
Preferred Abstract (Original):

Sami M. Al-Jaber