Formalism

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Momentum Conservation in the ‎Aharonov-Casher Effect

Journal Title, Volume, Page: 
II Nuovo Cimento B Series 11, Volume 110, Issue 8, pp 1003-1005
Year of Publication: 
1995
Authors: 
S. M. Al-Jaber
Department of Physics, An-Najah National University, Jordan, P.O. Box 7, Nablus West Bank, via Israel
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
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.

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Topological Considerations in Quantum Theory

Journal Title, Volume, Page: 
II Nuovo Cimento B Series 11, Volume 107, Issue 1, pp 23-37
Year of Publication: 
1992
Authors: 
S. M. Al-Jaber
Department of Physics and Molecular Science Program, Southern Illinois University at Carbondale, 62901, Carbondale, IL, USA
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
W. C. Henneberger
Department of Physics and Molecular Science Program, Southern Illinois University at Carbondale, 62901, Carbondale, IL, USA
Preferred Abstract (Original): 

We consider the most general case of the restricted rigid rotor, controlled by passive mechanical devices located at θ=0 and θ=π. The purpose of these devices is to restrict the particle motion to a domain of a covering space (0,Mπ), whereM is an odd integer. This system, which is not a Hamiltonian one on the physical space (0, 2π), is compared with a Hamiltonian system having delta function barriers at θ=0 and θ=π. The case ofM an even integer is also discussed by using only one mechanical device at θ=0. This non-Hamiltonian system is compared with a Hamiltonian system having a delta function barrier at θ=0. It is shown that many of the wave functions of the non-Hamiltonian systems are the same as those of the Hamiltonian ones, with an average reflection coefficient of 1/(M+1) for oddM and 2/M for evenM, which are the classical values. We show how, in the case of very largeM, the superposition principle leads to de Broglie resonances.

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On The Radial Part Equation of The Wave Function In N Dimensions

Journal Title, Volume, Page: 
IL. Nuovo Cimento, 112B, No. 5, 761
Year of Publication: 
1997
Authors: 
Sami M. Al-Jaber
Department of Physics, Faculty of Sciences, An-Najah National University, Palestine
Current Affiliation: 
Department of Physics, Faculty of Sciences, An-Najah National University, Palestine
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.

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The fine structure of the N-dimensional hydrogen atom

Journal Title, Volume, Page: 
Il Nuovo Cimento B, Volume 113, Issue 05, p.651
Year of Publication: 
1998
Authors: 
Sami M. Al-Jaber
Department of Physics, Faculty of Sciences, An-Najah National University, Palestine
Current Affiliation: 
Department of Physics, Faculty of Sciences, An-Najah National University, Palestine
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.

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The Second Derivative of A Delta – Function Potential: An Exactly Solvable Model

Journal Title, Volume, Page: 
IL Nuovo Cimento, 115B, No. 12, 1397
Year of Publication: 
2000
Authors: 
Sami M. Al-Jaber
Department of Physics, An-Najah National University Nablus, Palestine
Current Affiliation: 
Department of Physics, An-Najah National University Nablus, Palestine
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.

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Some Aspects of An Infinite N – Dimensional Spherical Potential Well

Journal Title, Volume, Page: 
Pakistan J. of Applied Sciences, 2, No. 2, 228
Year of Publication: 
2002
Authors: 
Sami M. Al-Jaber
Department of Physics, Faculty of Sciences, An-Najah National University, Palestine
Current Affiliation: 
Department of Physics, Faculty of Sciences, An-Najah National University, Palestine
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.

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A Confined Hydrogen Atom In Higher Space Dimensions

Journal Title, Volume, Page: 
Int. J. Theor. Phys.: Vol. 48, no.8, 2462-2472
Year of Publication: 
2009
Authors: 
Sami M. AL-Jaber
Department of Physics, Faculty of Sciences, An-Najah National University, Palestine
Current Affiliation: 
Department of Physics, Faculty of Sciences, An-Najah National University, Palestine
Muzaian A. Shaqqor
Department of Physics, AN-Najah National University, P.O. Box 7, Nablus, West-Bank, Palestine
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.

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