Geometric quantization of mechanical systems with time-dependent parameters
arXiv:quant-ph/0112011 · doi:10.1063/1.1477262
Abstract
Quantum systems with adiabatic classical parameters are widely studied, e.g., in the modern holonomic quantum computation. We here provide complete geometric quantization of a Hamiltonian system with time-dependent parameters, without the adiabatic assumption. A Hamiltonian of such a system is affine in the temporal derivative of parameter functions. This leads to the geometric Berry factor phenomena.
20 pages
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