An-Najah National University

Professor Sami M. AL-Jaber - Physics Department

Editorial Board member of Journal of Modern Physics (JMP). Recipient of PFDP Teaching Excellence Award 2010.

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  • Tuesday, July 10, 1990
  • The restricted rotor: the effect of topology on quantum mechanics
  • Published at:Not Found
  • Abstract. The authors consider the case of a limited rigid rotor, controlled by passive mechanical devices on a circle located at theta =0 and theta = pi . The devices have the effect of restricting the particle motion to the interval (0,3 pi ). This system, which cannot be described by a Hamiltonian on (0,2 pi ), is compared with a Hamiltonian system having delta function barriers at theta =0 and theta = pi . Many of the wavefunctions of the system having systematic reflections are the same as those of the Hamiltonian system with a reflection probability of 1/4. Finally, the effect of a whisker of flux at the origin (Aharonov-Bohm effect) is discussed in the case of the non-Hamiltonian system.

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Sami Mohammad Jaber
Theoretical Physics
Professor, Theoretical Physics, Physics Department, AN-Najah National UniversityNablus, Palestine.
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