Appearance of Gauge Fields and Forces beyond the adiabatic approximation
arXiv:1008.2473 · doi:10.1088/1751-8113/43/35/354025
Abstract
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.
J . Phys. A (2010) in press
References in corpus (13)
- Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
- Anomalous Hall Effect and Magnetic Monopoles in Momentum-Space
- Geometrodynamics of Spinning Light
- Spin Hall effect and Berry phase of spinning particles
- Beyond the Quantum Adiabatic Approximation: Adiabatic Perturbation Theory
- Topological spin transport of relativistic electron
- Spin Gauge Fields: from Berry Phase to Topological Spin Transport and Hall Effects
- Semiclassical Diagonalization of Quantum Hamiltonian and Equations of Motion with Berry Phase Corrections
- Atomic micromotion and geometric forces in a triaxial magnetic trap
- Recursive Diagonalization of Quantum Hamiltonians to all order in
- On v^2/c^2 expansion of the Dirac equation with external potentials
- Diagonal Representation for a Generic Matrix Valued Quantum Hamiltonian
- On spin evolution in a time-dependent magnetic field: post-adiabatic corrections and geometric phases