Group-theoretical derivation of Aharonov-Bohm phase shifts

Journal Article · Fri Feb 15 00:00:00 EST 2013 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4792234· OSTI ID:22162761

Hagen, C. R. ^[1]

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1. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627-0171 (United States)

The phase shifts of the Aharonov-Bohm effect are generally determined by means of the partial wave decomposition of the underlying Schroedinger equation. It is shown here that they readily emerge from an o(2,1) calculation of the energy levels employing an added harmonic oscillator potential which discretizes the spectrum.

• OSTI ID: 22162761
• Journal Information: Journal of Mathematical Physics, Vol. 54, Issue 2; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AHARONOV-BOHM EFFECT
DECOMPOSITION
ENERGY LEVELS
GROUP THEORY
HARMONIC OSCILLATORS
PARTIAL WAVES
PHASE SHIFT
SCHROEDINGER EQUATION
SPECTRA