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Author:

李瑞洁 (李瑞洁.) | 李子平 (李子平.)

Indexed by:

CQVIP CSCD

Abstract:

指出约束在包含时间在内的正则变量的总变分下不变时,仍可导出高阶微商奇异Iagrange量系统经典正则Noether定理和Poincare-Cartan(PC)积分不变量;不同的是,在以往文献中要求约束在正则变量的等时变换下不变.基于相空间Green函数的生成泛函,导出了高阶微商奇异Lagrange量系统在量子水平下的广义Noether定理和PC积分不变量;证明了当变换的Jacobi行列式不为1时,仍可导出量子PC积分不变量;将量子情况下的结果与经典结果作了对比.

Keyword:

Noether定理 Poincaré-Cartan积分不变量 高阶微商奇异Lagrange量系统

Author Community:

  • [ 1 ] 华北电力大学(北京)基础部北京 102206
  • [ 2 ] 北京工业大学应用数理学院 北京 100022

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Source :

北京工业大学学报

Year: 2002

Issue: 03

Page: 329-333

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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