| White Noise Approach Construction of Ф4 4 Quantum to The Fields （Ⅱ） |
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| 作者姓名： | Guang Lin RANG Zhi Yuan HUANG |
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| 作者单位： | [1]College of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China [2]Department of Mathematics, Hubei University, Wuhan, 430062, P. R. China [3]Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China |
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| 基金项目： | Supported by Grant 10401011 from NSFC and by Grant 2005037660 from China Postdoctoral Science Foundation |
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| 摘 要： | In this paper a complete proof for the existence of generalized operators satisfying abstract 02 dynamical equations of quantum motions δ^2/δt^2Ф（t, x） ＋ （ △- m^2）Ф（t, x） = -λ ：Ф^3（t, x）, subject to a suitable initial condition, is given under the framework of white noise analysis. Also some important commutation relations related to Ф44 quantum fields are discussed and proved in detail.
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| 关 键 词： | 量子场 白噪声法 微积分学 广义算子 |
| 修稿时间： | 2004-08-312005-01-19 |
White Noise Approach to The Construction of $$
\phi ^{4}_{4}
$$ Quantum Fields (II) |
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| Guang Lin RANG Zhi Yuan HUANG.White Noise Approach to The Construction of $$
\phi ^{4}_{4}
$$ Quantum Fields (II)[J].Acta Mathematica Sinica,2007,23(5):895-904. |
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| Authors: | Guang Lin Rang Zhi Yuan Huang |
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| Institution: | (1) College of Mathematics and Statistics, Wuhan University, Wuhan 430072, P. R. China;(2) Department of Mathematics, Hubei University, Wuhan, 430062, P. R. China;(3) Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China |
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| Abstract: | In this paper a complete proof for the existence of generalized operators satisfying abstract dynamical equations of quantum
motions
subject to a suitable initial condition, is given under the framework of white noise analysis. Also some important commutation
relations related to
quantum fields are discussed and proved in detail.
Supported by Grant 10401011 from NSFC and by Grant 2005037660 from China Postdoctoral Science Foundation |
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| Keywords: | White noise calculus Generalized operator " target="_blank">  gif" alt="$$
\phi ^{4}_{4}
" target="_blank">$$" align="middle" border="0"> quantum fields |
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