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规范不变系统量子水平的变换性质及应用

Transformation properties of gauge invariance systems at the quantum level and an application

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【作者】 李爱民李子平

【Author】 Li Ai-Min Li Zi-Ping(College of Applied Science,Beijing University of Technology,Beijing 100022,China)

【机构】 北京工业大学应用数理学院

【摘要】 按Faddeev-Popov路径积分量子化方法,给出规范不变系统在位形空间中的生成泛函,导出了系统位形空间中量子水平的变换性质.讨论了该系统量子水平的守恒律问题,且给出了Poincar群变换下电磁场在介质分界面附近量子水平的变换性质,在量子水平上说明了电磁波反射和折射时能量中心的"横移"现象.

【Abstract】 According to Faddeev-Popov’s rule of path integral quantization,the generating functional of Green function in configuration space for a gauge-invariant constrained system is formulated,transformation properties of a gauge-invariant system at the quantum level are derived and the problems of the conserved laws at the quantum level are discussed. the quantal transformation properties of electromagnetic field near the interface of dielectric media under the Poincar group are studied. It is pointed out that the transverse shift of the reflection and refraction of electromagnetic waves near the interface of dielectric media also occur at the quantum level,but the results of classical theory must be amended in quantum theory.

【基金】 国家自然科学基金(批准号:10647102)资助的课题~~
  • 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2008年12期
  • 【分类号】O441.4
  • 【被引频次】1
  • 【下载频次】62
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