Dirac Decomposition of Wheeler-DeWitt Equation in the Bianchi Class A Models
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概要
- 論文の詳細を見る
The Wheeler-DeWitt equation in the Bianchi Class A cosmological models is expressed generally in terms of a second-order differential equation, like the Klein-Gordon equation. To obtain a positive definite probability density, a new method is investigated, which extends the Dirac Square Root formalism that factorizes the Wheeler-DeWitt equation into a first-order differential equation using the Pauli matrices. The solutions to the Dirac type equation in this method are expressed in terms of a two-component spinor form. The probability density defined by the solution is positive definite, and the conserved current is derived. A newly found spin-like degree of freedom leads to behavior, corresponding to evolution of the universe with an agitated anisotropy oscillation like Zitterbewegung.
- 理論物理学刊行会の論文
- 2001-08-25
著者
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HARA Tetsuya
Department of Anesthesiology, Nagasaki University School of Medicine
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Hariu T.
Yamagata University
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Hara T
Department Of Physics Kyoto Sangyo University
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YAMAZAKI Hidetomo
Department of Physics, Kyoto Sangyo University
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Hara Tetsuya
Research Institute For Fundamental Physics Kyoto University
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HARA Takashi
Institute of Physics, College of Arts and Sciences University of Tokyo
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Yamazaki H
Department Of Physics Kyoto Sangyo University
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Hara Tetsuya
Department Of Anesthesiology Nagasaki Rosai Hospital
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YAMAZAKI Hideki
Kyushu Institute of Technology, Department of Electrical Engineering
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HARA Takashi
Institute of Physics, College of Arts and Science University of Tokyo : Courant Institute of Mathematical Sciences, New York University
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HARA Tetsuya
Department of Physics, Kyoto University
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Hara Tetsuya
Research Center for Nuclear Physics, Osaka. University
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