Geometric quantization of mechanical systems with time-dependent parameters
量子物理
2015-06-26 v2 数学物理
math.MP
摘要
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.
引用
@article{arxiv.quant-ph/0112011,
title = {Geometric quantization of mechanical systems with time-dependent parameters},
author = {G. Giachetta and L. Mangiarotti and G. Sardanashvily},
journal= {arXiv preprint arXiv:quant-ph/0112011},
year = {2015}
}
备注
20 pages