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题名: GEOMETRIC PHASE AND THE GENERALIZED INVARIANT FORMULATION
作者: GAO, XC ;  XU, JB ;  QIAN, TZ
刊名: PHYSICAL REVIEW A
出版日期: 1991
卷号: 44, 期号:11, 页码:7016-7021
关键词: BERRY TOPOLOGICAL PHASE ;  ANANDAN QUANTUM PHASE ;  NMR INTERFEROMETRY ;  GAUGE-THEORIES ;  STATISTICS ;  SYSTEM
学科分类: Physics
通讯作者: GAO, XC , CHINESE CTR ADV SCI & TECHNOL,WORLD LAB,POB 8730,BEIJING,PEOPLES R CHINA.
部门归属: ZHEJIANG UNIV,DEPT PHYS,HANGZHOU,PEOPLES R CHINA; CHINESE ACAD SCI,INST THEORET PHYS,BEIJING,PEOPLES R CHINA
英文摘要: An alternative concept of the basic invariants is introduced. The Lewis-Riesenfeld invariant theory is extended to obtain a generalized invariant formulation. The formulation is then used to establish four facts: (i) Any invariant for a quantum system can be constructed in terms of the basic invariants. (ii) It is possible to introduce a solution-generating technique by making use of the basic invariants. (iii) The path integral in the generalized invariant formulation reduces to an ordinary integral. (iv) The study of noncyclic evolution of a quantum system reduces explicitly to the study of the cyclic evolution. Finally, phase factors and general solution for the driven generalized time-dependent harmonic oscillator are studied as an illustrative example.
收录类别: SCI
原文出处: 查看原文
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/11276
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
GAO, XC,XU, JB,QIAN, TZ. GEOMETRIC PHASE AND THE GENERALIZED INVARIANT FORMULATION[J]. PHYSICAL REVIEW A,1991,44(11):7016-7021.
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