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  • 标题:Calculating Normal-Ordered Forms in Fock Space by Quantum White Noise Derivatives
  • 本地全文:下载
  • 作者:Un Cig JI ; Nobuaki OBATA
  • 期刊名称:Interdisciplinary Information Sciences
  • 印刷版ISSN:1340-9050
  • 电子版ISSN:1347-6157
  • 出版年度:2013
  • 卷号:19
  • 期号:2
  • 页码:201-211
  • DOI:10.4036/iis.2013.201
  • 出版社:The Editorial Committee of the Interdisciplinary Information Sciences
  • 摘要:The normal-ordered form of the composition of the exponential of a quadratic annihilation operator and its adjoint is derived by means of a new method based on quantum white noise calculus. Our method consists of two steps: (i) to derive a system of differential equations consisting of quantum white noise derivatives and Wick products; and (ii) to solve explicitly the system of differential equations.
  • 关键词:Boson Fock space;normal-ordered form;quadratic annihilation and creation operator;quantum white noise;Wick product
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