Journal Title, Volume, Page:

II Nuovo Cimento B Series 11, Volume 110, Issue 8, pp 1003-1005
Year of Publication:

1995
Preferred Abstract (Original):

In the Aharonov-Casher effect, the neutron exerts a non-vanishing force on a static line charge (a charged wire). The reaction of this force is the time rate of change of the electromagnetic momentum.

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:

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:

IL Nuovo Cimento, 115B, No. 12, 1397
Year of Publication:

2000
Preferred Abstract (Original):

We consider an exactly solvable model, namely the interaction that is one of the point interactions. For the repulsive case, we drive the reflection and transmission coefficients. It is shown that the coefficients satisfy the unitarity of the scattering matrix. If the incident particle has a certain energy, then the barrier becomes perfectly reflective. Furthermore, it is shown that the barrier becomes completely transmittive for the high-energy behavior. For the attractive case, we examine both the bound states and the scattering states. It is shown that there exist two bound states and for the scattering case it is demonstrated that one recovers the same reflection and transmission coefficients that were obtained for the repulsive case.

Journal Title, Volume, Page:

Pakistan J. of Applied Sciences, 2, No. 2, 228
Year of Publication:

2002
Preferred Abstract (Original):

We consider the solution of Schrodinger equation in N dimensions for the infinite N-dimensional spherical potential well. Some aspects of the radial part and the angular part of the wave function are presented and discussed. In particular, the effective potential, orthonormality, energy eigenvalues and the degeneracy are investigated. Thus the role of the topological structure of the configuration space of a physical system on the quantum nature of the system is emphasized.

Journal Title, Volume, Page:

Int. J. Theor. Phys.: Vol. 48, no.8, 2462-2472
Year of Publication:

2009
Preferred Abstract (Original):

We compute ground state energies for the N-dimensional hydrogen atom confined in an impenetrable spherical cavity. The obtained results show their dependence on the size of the cavity and the space dimension N. We also examine the value of the critical radius of the cavity in different dimensions. Furthermore, the number of bound states was found for a given radius S, in different space dimensions.