Effects of nongauge potentials on the spin-1/2 Aharonov-Bohm problem
- Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (United States)
Some recent work has attempted to show that the singular solutions which are known to occur in the Dirac description of spin-1/2 Aharonov-Bohm scattering can be eliminated by the inclusion of strongly repulsive potentials inside the flux tube. It is shown here that these calculations are generally unreliable since they necessarily require potentials which lead to the occurrence of Klein's paradox. To avoid that difficulty the problem is solved within the framework of the Galilean spin-1/2 wave equation which is free of that particular complication. It is then found that the singular solutions can be eliminated provided that the nongauge potential is made energy dependent. The effect of the inclusion of a Coulomb potential is also considered with the result being that the range of flux parameter for which singular solutions are allowed is only one-half as great as in the pure Aharonov-Bohm limit. Expressions are also obtained for the binding energies which can occur in the combined Aharonov-Bohm-Coulomb system.
- DOE Contract Number:
- FG02-91ER40685
- OSTI ID:
- 5805713
- Journal Information:
- Physical Review, D (Particles Fields); (United States), Vol. 48:12; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
COULOMB SCATTERING
SOLUTIONS
WAVE EQUATIONS
AHARONOV-BOHM EFFECT
ENERGY DEPENDENCE
FERMIONS
MAGNETIC FIELDS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SINGULARITY
BASIC INTERACTIONS
DIFFERENTIAL EQUATIONS
DISPERSIONS
ELASTIC SCATTERING
ELECTROMAGNETIC INTERACTIONS
EQUATIONS
INTERACTIONS
MECHANICS
MIXTURES
PARTIAL DIFFERENTIAL EQUATIONS
SCATTERING
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)