Non-adiabatic holonomy operators in classical and quantum completely integrable systems
量子物理
2007-05-23 v2 数学物理
动力系统
math.MP
可精确求解与可积系统
摘要
Given a completely integrable system, we associate to any connection on its invariant tori fibred over a parameter manifold the classical and quantum holonomy operator (generalized Berry's phase factor), without any adiabatic approximation.
引用
@article{arxiv.quant-ph/0212108,
title = {Non-adiabatic holonomy operators in classical and quantum completely integrable systems},
author = {G. Giachetta and L. Mangiarotti and G. Sardanashvily},
journal= {arXiv preprint arXiv:quant-ph/0212108},
year = {2007}
}
备注
15 pages