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GENERALIZED OPERATORS AND OPERATOR-VALUED DISTRIBUTIONS IN QUANTUM FIELD THEORY
作者姓名:黄志远  王湘君  王才士
作者单位:Department of Mathematics,Huazhong University of Science and Technology,Wuhan Institute of Physics and Mathematics,Chinese Academy of Science,Department of Mathematics,Huazhong University of Science and Technology Wuhan 430074,China,Wuhan 430071,China,Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074,China,Wuhan 430074,China
基金项目:Project supported by NSF of China(10171035)
摘    要:The relation between generalized operators and operator-valued distributions is discussed so that these two viewpoints can be used alternatively to explain quantum fields.

收稿时间:18 December 2000

GENERALIZED OPERATORS AND OPERATOR-VALUED DISTRIBUTIONS IN QUANTUM FIELD THEORY
Huang Zhiyuan? Wang Xiangjun Wang Caishi Wuhan Institute of Physics and Mathematics,Chinese Academy of Science,Wuhan ,China.GENERALIZED OPERATORS AND OPERATOR-VALUED DISTRIBUTIONS IN QUANTUM FIELD THEORY[J].Acta Mathematica Scientia,2003,23(2):145-154.
Authors:Huang Zhiyuan? Wang Xiangjun Wang Caishi Wuhan Institute of Physics and Mathematics  Chinese Academy of Science  Wuhan  China
Institution:1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Science, Wuhan 430071, China;2. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China;1. Division of Pediatric Cardiothoracic Surgery, The Heart Institute, Cincinnati Children’s Hospital Medical Center, University of Cincinnati, Cincinnati, Ohio;2. Department of Family Medicine, University of Oklahoma School of Community Medicine, Tulsa, Oklahoma;3. Division of Pulmonary Medicine, Cincinnati Children’s Hospital Medical Center, University of Cincinnati, Cincinnati, Ohio;1. Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, C/ Nicolás Cabrera, no. 13-15, 28049 Madrid, Spain;3. Department of Electrical and Computer Engineering, George Mason University, Fairfax, VA 22030, USA;1. Instituto de Física de São Carlos, Universidade de São Paulo, CP 369, 13560-970, São Carlos SP, Brazil;2. IFAE, BIST, Campus UAB, 08193 Bellaterra (Barcelona) Spain;3. ICREA, Pg. Lluís Companys 23, 08010 Barcelona, Spain
Abstract:The relation between generalized operators and operator-valued distributions is discussed so that these two viewpoints can be used alternatively to explain quantum fields.
Keywords:White noise analysis  quantum fields  generalized operator  operator-valued distribution
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