A Dynamical System with q-Deformed Phase Space Represented in Ordinary Variable Spaces(Particles and Fields)
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概要
- 論文の詳細を見る
Dynamical systems associated with a q-deformed two dimensional phase space are studied as effective dynamical systems described by ordinary variables. In quantum theory, the momentum operator in such a deformed phase space becomes a difference operator instead of the differential operator. Then, using the path integral representation for such a dynamical system, we derive an effective short-time action, which contains interaction terms even for a free particle with q-deformed phase space. We also analyze the eigenvalue problem for a particle with q-deformed phase space confined in a compact space. Under some boundary conditions of the compact space, there arises fairly different structures from that of the q=1 case in the energy spectrum of the particle and in the corresponding eigenspace.
- 理論物理学刊行会の論文
- 2010-12-25
著者
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NAKA Shigefumi
Department of Physics, College of Science and Technology Nihon University
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Naka Shigefumi
Department Of Physics College O F Science And Technology Nihon University
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Naka Shigefumi
Department Of Physics And Atomic Energy Research Institute Callege Of Science And Technology Nihon U
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Toyoda Haruki
Junior College Funabashi Campus Nihon University
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TAKANASHI Takaoki
Department of Physics, College o f Science and Technology, Nihon University
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Takanashi Takaoki
Department Of Physics College O F Science And Technology Nihon University
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Naka Shigefumi
Department Of Physics And Atomic Energy Reseach Institute College Of Science And Technology Nihon Un
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TOYODA Haruki
Junior College, Funabashi Campus, Nihon University
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