Extending the quantal adiabatic theorem: Geometry of noncyclic motion

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-1/2 experiment to measure the adiabatic noncyclic geometric phase is discussed. We also analyze some misconceptions in the literature and textbooks concerning noncyclic geometric phases.

Minor stylistic changes in text and Fig. 3. Forthcoming in American Journal of Physics (March 98)

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