2007arXiv (Cornell University)Open access

Invariant Perturbation Theory of Adiabatic Process

Jianlan Chen, Meisheng Zhao, Jianda Wu, Zhang, Yong-de

Open full text 2 citations

Abstract

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.

Open-access reader

About this research paper

What this paper is about

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.

Why it matters

OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

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.

Key concepts: Adiabatic invariant, Adiabatic process, Invariant (physics), Perturbation (astronomy), Perturbation theory (quantum mechanics), Process theory, Theoretical physics, Physics

Related papers

Back to paper searchBrowse research topicsOriginal source
Invariant Perturbation Theory of Adiabatic Process — Research Paper | ScholarLens