An implementation problem for boson fields and quantum girsanov transform

Un Cig Ji, Nobuaki Obata

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

We study an implementation problem for quadratic functions of annihilation and creation operators on a boson field in terms of quantum white noise calculus. The implementation problem is shown to be equivalent to a linear differential equation for white noise operators containing quantum white noise derivatives. The solution is explicitly obtained and turns out to form a class of white noise operators including generalized Fourier-Gauss and Fourier-Mehler transforms, Bogoliubov transform, and a quantum extension of the Girsanov transform.

Original languageEnglish
Article number083502
JournalJournal of Mathematical Physics
Volume57
Issue number8
DOIs
Publication statusPublished - 2016 Aug 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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