theory of measurement | An-Najah Staff

Quantization of Angular Momentum in ‎then -Dimensional Space

Mon, 2014-02-17 15:02 — Sami Mohammad AL-Jaber

Journal Title, Volume, Page:

II Nuovo Cimento B Series 11, Volume 110, Issue 8, pp 993-995

Year of Publication:

1995

Link:

http://link.springer.com/article/10.1007%2FBF02722866#close

Authors:

S. M. Al-Jaber

Department of Physics, An-Najah University, P.O. Box 7, Nablus, Palestine

Current Affiliation:

Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine

[email protected]

Preferred Abstract (Original):

We consider the most general case of the quantization of angular momentum in theN-dimensional space. We show that a hydrogen atom, when viewed in anN-dimensional, multiply connected space, the angular momentum must be ((N−1)/2)-integral.

Momentum Conservation in the ‎Aharonov-Casher Effect

Mon, 2014-02-17 14:22 — Sami Mohammad AL-Jaber

Journal Title, Volume, Page:

II Nuovo Cimento B Series 11, Volume 110, Issue 8, pp 1003-1005

Year of Publication:

1995

Link:

http://link.springer.com/article/10.1007/BF02722868

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

[email protected]

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.

Topological Considerations in Quantum Theory

Mon, 2014-02-17 13:40 — Sami Mohammad AL-Jaber

Journal Title, Volume, Page:

II Nuovo Cimento B Series 11, Volume 107, Issue 1, pp 23-37

Year of Publication:

1992

Link:

http://link.springer.com/article/10.1007%2FBF02726880

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

[email protected]

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.