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Indexed by:期刊论文

Date of Publication:2010-09-01

Journal:JOURNAL OF THE KOREAN PHYSICAL SOCIETY

Included Journals:SCIE、Scopus

Volume:57

Issue:3

Page Number:526-531

ISSN No.:0374-4884

Key Words:Perturbation; Nonlinear system

Abstract:Perturbation theory is an important tool in quantum mechanics, it can help to find solutions to the Schrodinger equation and has been proven to he a good approximation for linear quantum systems. In this paper, we examine whether the perturbation theory is available for nonlinear systems by exemplifying a nonlinear two-level system. The results show that the ratio (r) of the nonlinear rate C to the tunneling coefficient V determines the validity of the perturbation theory. For small ratio r, the perturbation theory is available; otherwise, it yields wrong results.