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arXiv:2208.06285 · Springer INdAM series

Quadratic Forms for Aharonov-Bohm Hamiltonians

Davide Fermi

Published Jan 1, 2023• 4 citations
arXivHTMLPDF
DOI
10.1007/978-981-99-5894-8_7

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The nonlocal and topological nature of the molecular Aharonov-Bohm (MAB) effect is examined for real electronic Hamiltonians. A notion of preferred gauge for MAB is suggested. The MAB effect in the linear + quadratic EotimesepsilonE\\otimes \\epsilonEotimesepsilon Jahn-Teller system is shown to be essentially analogues to an anisotropic Aharonov-Casher effect for an electrically neutral spin−1/2-{1/2}−1/2 particle encircling a certain configuration of lines of charge.