Ordering, Symbols and Finite-Dimensional Approximations of Path Integrals : Particles and Fields
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概要
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We derive general form of finite-dimensional approximations of path integrals for both bosonic and fermionic canonical systems in terms of symbols of operators determined by operator ordering. We argue that for a system with a given quantum Hamiltonian such approximations are independent of the type of symbols up to terms of O(ε),where ε is infinitesimal time interval determining the accuracy of the approximations. A new class of such approximations is found for both c-number and Grassmannian dynamical variables. The actions determined by the approximations are nonlocal and have no classical continuum limit except the cases of pq- and qp-ordering. As an explicit example the fermionic oscillator is considered in detail.
- 理論物理学刊行会の論文
- 1994-09-25
著者
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SAKODA Seiji
Department of Physics, Kyushu University
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Kashiwa Taro
Department Of Physics Ehime University
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ZENKIN Sergei
Department of Physics, Kyushu University
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Sakoda Seiji
Department Of Physics Kyushu University
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Sakoda Seiji
Department Of Applied Physics National Defense Academy
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Zenkin Sergei
Department Of Physics Kyushu University
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