Geometric quantization of mechanical systems with time-dependent parameters

Details Geometric quantization of mechanical systems with time-dependent parameters Geometric quantization of mechanical systems with time-dependent parameters

2001-12-03

arxiv.org/abs/quant-ph/0112011v2

Physics

Quantum Physics

20 pages

Scientific paper

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.

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