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量子迭代与可积性
引用本文:杨亚民,徐躬耦.量子迭代与可积性[J].福建师范大学学报(自然科学版),1993,9(3):40-47.
作者姓名:杨亚民  徐躬耦
作者单位:福建师大物理系,福建师大物理系,南京大学物理系,南京大学物理系
摘    要:本文提出一个求解定态问题的量子迭代方程,并把它作为研究量子不可积性的手段,揭示了Hose-Taylor判据的局限性,并探讨出现这种局限性的原因。

关 键 词:可积性  量子迭代  理论力学  浑沌

Quantum Iteration and Integrability
Yang Yatian Zeng Minyong.Quantum Iteration and Integrability[J].Journal of Fujian Teachers University(Natural Science),1993,9(3):40-47.
Authors:Yang Yatian Zeng Minyong
Abstract:An iteration equation for solving time-independent schrdinger equation is established. The stability of the solution of this equation is discussed. The integrability of quantum system is investegated with this equation. The reason on the invalidity of Hose-Taylor criterion is carefully examined from both point of view of the convergence of iterative perturbation theory and the group transformation theory.
Keywords:iterative perturbation theory  Hose-Taylor criterion  integrability
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