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- W2011723013 abstract "A systematic study is made of path integral representations for a particle constrained to move on a manifold diffeomorphic to SD by applying the irreducible representations of the Dirac algebra on it. Especially, we derive two types of path integral representation for this system, one of which is of a new form with a simple and compact expression, and the other is a rigorous version of the Faddeev–Senjanovic formula. It is also shown that the parameter α [0, 1) specifying the irreducible representation for D = 1 has a close connection with the Aharonov–Bohm gauge potential produced by the magnetic flux ." @default.
- W2011723013 created "2016-06-24" @default.
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- W2011723013 date "2004-01-09" @default.
- W2011723013 modified "2023-09-24" @default.
- W2011723013 title "Path integral representations for a system constrained on a manifold" @default.
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- W2011723013 doi "https://doi.org/10.1088/0305-4470/37/4/021" @default.
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