Extending the quantal adiabatic theorem: Geometry of noncyclic motion

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

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