Invariant Perturbation Theory of Adiabatic Process

Jian-Lan Chen, Mei-sheng Zhao, Jian-da Wu, Yong-de Zhang

Published 2007-06-03, updated 2007-06-06Version 3

In this paper we present an invariant perturbation theory to adiabatic process according to the concepts of adiabatic orbits, adiabatic evolution orbit and U(1)-invariant adiabatic orbit. The probabilities of keeping the adiabatic orbit in the first-order and the second-order approximation are calculated, respectively. We also give a convenient sufficient condition.