Coherent state representation and unitarity condition in white noise calculus

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White noise distribution theory over the complex Gaussian space is established on the basis of the recently developed white noise operator theory. Unitarity condition for a white noise operator is discussed by means of the operator symbol and complex Gaussian integration. Concerning the overcompleteness of the exponential vectors, a coherent state representation of a white noise function is uniquely specified from the diagonal coherent state representation of the associated multiplication operator.

Original languageEnglish
Pages (from-to)297-309
Number of pages13
JournalJournal of the Korean Mathematical Society
Issue number2
Publication statusPublished - 2001


  • Coherent state representation
  • Fock Space
  • Operator symbol
  • Quantum stochastic differential equation
  • Unitarity condition
  • White noise


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