Exact equivalence of spin-1/2 Aharonov-Bohm and Aharonov-Casher effects

Journal Article · Mon May 14 00:00:00 EDT 1990 · Physical Review Letters; (USA)

DOI:https://doi.org/10.1103/PhysRevLett.64.2347· OSTI ID:6757271

Hagen, C R ^[1]

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1. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (USA)

It is shown that there is an exact equivalence between the Aharonov-Bohm effect for spin-1/2 particles and the Aharonov-Casher effect. The demonstration of this precise relationship between the two is seen furthermore to be independent of whether relativistic or nonrelativistic kinematics are used. The only remaining substantive distinction between the two effects may well be the fact that the scattering cross section for polarized beams has a considerably greater sturcture in the Aharonov-Casher case despite the mathematical equivalence of the scattering amplitudes for the two effects.

• DOE Contract Number: AC02-76ER13065
• OSTI ID: 6757271
• Journal Information: Physical Review Letters; (USA), Journal Name: Physical Review Letters; (USA) Vol. 64:20; ISSN PRLTA; ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
EQUATIONS
FERMIONS
INTERFERENCE
MAGNETIC MOMENTS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM MECHANICS
SCATTERING AMPLITUDES
SCHROEDINGER EQUATION
WAVE EQUATIONS