Non-adiabatic holonomy operators in classical and quantum completely integrable systems
Quantum Physics
2007-05-23 v2 Mathematical Physics
Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@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}
}
Comments
15 pages