arXiv:quant-ph/9801013 · American Journal of Physics

Extending the quantal adiabatic theorem: Geometry of noncyclic motion

Gonzalo G. de Polavieja, Erik Sjöqvist

Published May 1, 1998• 49 citations

Abstract

We show that a noncyclic phase of geometric origin has to be included in the approximate adiabatic wave function. The adiabatic noncyclic geometric phase for systems exhibiting a conical intersection as well as for an Aharonov–Bohm situation is worked out in detail. A spin-12 experiment to measure the adiabatic noncyclic geometric phase is discussed. We also analyze some misconceptions in the literature and textbooks concerning noncyclic geometric phases.

DOI: 10.1119/1.18799

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