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A New Kind of Two-Fold Integration Transformation in Phase Space and Its Uses in Weyl Ordering of Operators 被引量:3

A New Kind of Two-Fold Integration Transformation in Phase Space and Its Uses in Weyl Ordering of Operators
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摘要 We propose a new two-fold integration transformation in p-q phase space∫∫^∞-∞dpdq/π e^2i(p-x)(q-y)f(p,q)≡G(x,y),which possesses some well-behaved transformation properties. We apply this transformation to the Weyl ordering of operators, especially those Q-P ordered and P-Q ordered operators.
作者 FAN Hong-Yi
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第10期935-937,共3页 理论物理通讯(英文版)
基金 National Natural Science Foundation of China under Grant Nos.10775097 and 10874174
关键词 new two-fold integration transform phase space Weyl ordering of operators 积分转换 相位空间 有序化 数学
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  • 1H. Weyl,Z. Phys. 46 (1927) 1. 被引量:1
  • 2Hong-Yi Fan, Ann. Phys. 323 (2008) 500. 被引量:1
  • 3Hong-Yi Fan, J. Phys. A 25 (1992) 3443. 被引量:1
  • 4Fan Hong-Yi and Wang Ji-Suo, Commun. Theor. Phys.(Beijing, China) 47 (2007) 431. 被引量:1
  • 5A. Erdelyi, Higher Transcendental Functions, The Bateman Manuscript Project, McGraw Hill (1953). 被引量:1
  • 6Lu Hai-Liang an d Fan Hong-Yi, Commun. Theor. Phys. (Beijing, China) 47 (2007) 1024. 被引量:1

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