Self-adjoint extension approach to the spin-1/2 Aharonov-Bohm-Coulomb problem

Journal Article · Thu Dec 15 00:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.7715· OSTI ID:6885910

Park, D K ^[1]; Oh, Jae Geun ^[2]

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1. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (United States)
2. Department of Physics, Kyung Nam University, Masan, 631-701 (Korea, Republic of)

The spin-1/2 Aharonov-Bohm problem is examined in the Galilean limit for the case in which a Coulomb potential is included. It is found that the application of the self-adjoint extension method to this system yields singular solutions only for one-half the full range of the flux parameter, which is allowed in the limit of a vanishing Coulumb potential. Thus one has a remarkable example of a case in which the condition of normalizability is necessary but not sufficient for the occurrence of singular solutions. Expressions for the bound state energies are derived. Also the conditions for the occurrence of singular solutions are obtained when the nongauge potential is [xi]/[ital r][sup [ital p]] (0[le][ital p][lt]2).

• OSTI ID: 6885910
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 50:12; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM MECHANICS
AHARONOV-BOHM EFFECT
COULOMB FIELD
BOUND STATE
BOUNDARY CONDITIONS
ENERGY
HAMILTONIANS
POTENTIALS
RENORMALIZATION
SINGULARITY
SOLUTIONS
SPIN
WAVE FUNCTIONS
ANGULAR MOMENTUM
DISPERSIONS
ELECTRIC FIELDS
FUNCTIONS
MATHEMATICAL OPERATORS
MECHANICS
MIXTURES
PARTICLE PROPERTIES
QUANTUM OPERATORS
661100* - Classical & Quantum Mechanics- (1992-)