Appearance of Gauge Fields and Forces beyond the adiabatic approximation

Details Appearance of Gauge Fields and Forces beyond the adiabatic approximation Appearance of Gauge Fields and Forces beyond the adiabatic approximation

2010-08-14

arxiv.org/abs/1008.2473v1

J. Phys. A: Math. Theor., 43 (2010) 354025

Physics

Quantum Physics

J . Phys. A (2010) in press

Scientific paper

10.1088/1751-8113/43/35/354025

We investigate the origin of quantum geometric phases, gauge fields and forces beyond the adiabatic regime. In particular, we extend the notions of geometric magnetic and electric forces discovered in studies of the Born-Oppenheimer approximation to arbitrary quantum systems described by matrix valued quantum Hamiltonians. The results are illustrated by several physical relevant examples.

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