On the alleged nonlocal and topological nature of the molecular Aharonov-Bohm effect

Abstract

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 $E\otimes \epsilon$ Jahn-Teller system is shown to be essentially analogues to an anisotropic Aharonov-Casher effect for an electrically neutral spin$-1/2$ particle encircling a certain configuration of lines of charge.

minor corrections, journal reference added

References in corpus (3)

• Locality and topology in the molecular Aharonov-Bohm effect
• Optimal Topological Test for Degeneracies of Real Hamiltonians
• Measuring Pancharatnam's relative phase for SO(3) evolutions using spin polarimetry

Cited by in corpus (1)

• Searching for degeneracies of real Hamiltonians using homotopy classification of loops in SO($n$)