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Time Evolution Caused by Hamiltonian Composed of Quadratic Combination of Canonical Operators and Time-Dependent Two-Mode Fresnel Operator
  • ISSN号：0253-6102
  • 期刊名称：《理论物理通讯：英文版》
  • 时间：0
  • 分类：O411[理学—理论物理;理学—物理]
  • 作者机构：[1]Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China, [2]Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China
  • 相关基金：The project supported by National Natural Science Foundation of China under Grant No. 10475056.
作者： FAN Hong-Yi[1,2], Hai-Liang[1]
关键词： 时滞双模菲涅耳算子, 二次联合规范算子, Lewis-Riesenfeld不变量算子理论, 经典相空间, time-dependent two-mode Fresnel operator, quadratic combination of canonical operators, Lewis-Riesenfeld＇s invariant operator theory
中文摘要：

我们证明二模式的夫累Ｘ尔操作员只是的时间依赖者 Hamiltonian 管理的 thetime 进化的单一的操作员以展出苏(1,1 ) 的方法正规操作员的二次的联合创作了代数学。这是为在古典阶段空间从 preassigned 时间进化获得 thetime 依赖的 Hamiltonian 的一条途径，与 Lewis-Riesenfeld 相对照的一条途径“ s 对待 time-dependentharmonic 振荡器的不变的操作符理论。

英文摘要：

We show that the time-dependent two-mode Fresnel operator is just the time-evolutional unitary operator governed by the Hamiltonian composed of quadratic combination of canonical operators in the way of exhibiting SU（1,1） algebra. This is an approach for obtaining the time-dependent Hamiltonian from the preassigned time evolution in classical phase space, an approach which is in contrast to Lewis-Riesenfeld＇s invariant operator theory of treating timedependent harmonic oscillators.

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期刊信息
  • 《理论物理通讯：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中科院理论物理所 中国物理学会
  • 主编：孙昌浦
  • 地址：北京2735邮政信箱 中国科学院理论物理研究所编辑部
  • 邮编：100190
  • 邮箱：ctp@itp.ac.cn
  • 电话：010-62551495 62541813 62550630
  • 国际标准刊号：ISSN：0253-6102
  • 国内统一刊号：ISSN：11-2592/O3
  • 邮发代号:
  • 获奖情况:
  • 首届国家期刊奖,中国科学院优秀期刊特别奖,国家期刊奖百种重点期刊,中国期刊方阵“双高”期刊
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  • 被引量:342