White noise analysis on manifolds and the energy representation of a gauge group

Hasebe T.

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White noise analysis on manifolds and the energy representation of a gauge group

机译：歧管上的白噪声分析和量规组的能量表示

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摘要

The energy representation of a gauge group on a Riemannian manifold has been discussed by several authors. Y. Shimada has shown the irreducibility with the use of white noise analysis for compact Riemannian manifolds. In this paper we extend its technique to the noncompact Riemannian manifolds which have differential operators satisfying some conditions.

机译：几位作者已经讨论了黎曼流形上的一个规范组的能量表示。 Y. Shimada通过将白噪声分析用于紧凑型黎曼流形显示出了不可约性。在本文中，我们将其技术扩展到具有满足某些条件的微分算子的非紧黎曼流形。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2010年第4期|共9页
作者
Hasebe T.;
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原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
energy representation; Gauge group; white noise;

机译：能量表示;量规组;白噪声;

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专利

1. White noise analysis on manifolds and the energy representation of a gauge group [J] . Hasebe T. Infinite dimensional analysis, quantum probability, and related topics . 2010,第4期

机译：歧管上的白噪声分析和量规组的能量表示
2. INTEGRAL REPRESENTATION OF SECOND QUANTIZATION AND ITS APPLICATION TO WHITE NOISE ANALYSIS [J] . Lee YJ. Journal of Functional Analysis . 1995,第2期

机译：二次定量积分表示法及其在白噪声分析中的应用
3. INTEGRAL REPRESENTATION OF SECOND QUANTIZATION AND ITS APPLICATION TO WHITE NOISE ANALYSIS [J] . Lee YJ. Journal of Functional Analysis . 1995,第2期

机译：二次定量积分表示法及其在白噪声分析中的应用
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8. Energy Machineries on a Manifold: Application to the Construction of New Energy Representations of Gauge Groups [R] . Marion, J. 1984

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White noise analysis on manifolds and the energy representation of a gauge group

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