Extending the quantal adiabatic theorem: Geometry of noncyclic motion

Details Extending the quantal adiabatic theorem: Geometry of noncyclic motion Extending the quantal adiabatic theorem: Geometry of noncyclic motion

1998-01-08

arxiv.org/abs/quant-ph/9801013v2

Forthcoming in American Journal of Physics (March 98)

Physics

Quantum Physics

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

Scientific paper

10.1119/1.18799

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.

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