2007/06/03 by Jianlan Chen, Jian-Lan Chen, Meisheng Zhao +8
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems #Scientific Research and Discoveries #quant-ph
paper · pdf · doi:10.48550/arxiv.0706.0299
4 pages, no figures
openalex publication_date 2007/06/03 · arxiv created 2007/06/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.