Privileged Role of the Mid-Point Prescription in Path Integrations for Constrained Systems : Particles and Fields
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概要
- 論文の詳細を見る
Detailed discussions are made on the path integral formula of Faddeev and Senjanovic for a D-dimensional sphere (S^D) as an example of constrained systems. We study the operator counterpart resulting from the formula in a model-independent manner. Under these procedures, it is found that only the mid-point (or Weyl) prescription is allowed to give the correct completeness condition in terms of the spherical harmonics. Thus, contrary to the ordinary situations one must use the mid-point prescription in the path integral formula for constrained systems.
- 理論物理学刊行会の論文
- 1988-07-25
著者
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Kashiwa T
Department Of Physics Ehime University
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Kashiwa Taro
Department Of Physics Ehime University
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FUKUTAKA Hiroki
Department of Physics, Kyushu University
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Fukutaka Hiroki
Department Of Physics Kyushu University
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KASHIWA Taro
Department of Physics, Nagoya University
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