Geometric phases without geometry
Abstract
Geometric phases arise in a number of physical situations and often lead to systematic shifts in frequencies or phases measured in precision experiments. We describe, by working through some simple examples, a method to calculate geometric phases that relies only on standard quantum mechanical calculations of energy level shifts. This connection between geometric phases and offresonant energy shifts simplifies calculation of the effect in certain situations. More generally, it also provides a way to understand and calculate geometric phases without recourse to topology.
 Publication:

arXiv eprints
 Pub Date:
 July 2009
 arXiv:
 arXiv:0907.5116
 Bibcode:
 2009arXiv0907.5116V
 Keywords:

 Quantum Physics;
 Physics  Atomic Physics;
 Physics  Physics Education
 EPrint:
 11 pages, 4 figures