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论文类型：期刊论文

发表时间：2010-09-01

发表刊物：JOURNAL OF THE KOREAN PHYSICAL SOCIETY

收录刊物：SCIE、Scopus

卷号：57

期号：3

页面范围：526-531

ISSN号：0374-4884

关键字：Perturbation; Nonlinear system

摘要：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.