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Group-Theoretical Derivation of Aharonov-Bohm Phase Shifts

Mathematical Physics 2015-06-12 v1 math.MP Quantum Physics

Abstract

The phase shifts of the Aharonov-Bohm effect are generally determined by means of the partial wave decomposition of the underlying Schrodinger 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.

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Cite

@article{arxiv.1211.3971,
  title  = {Group-Theoretical Derivation of Aharonov-Bohm Phase Shifts},
  author = {C. R. Hagen},
  journal= {arXiv preprint arXiv:1211.3971},
  year   = {2015}
}

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5 pages