Implementation problem for the canonical commutation relation in terms of quantum white noise derivatives

Un cig Ji, Nobuaki Obata

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

The implementation problem for the canonical commutation relation is reduced to a system of differential equations for Fock space operators containing new type of derivatives. We solve these differential equations systematically by means of quantum white noise calculus, and obtain the solution to the implementation problem.

Original languageEnglish
Article number123507
JournalJournal of Mathematical Physics
Volume51
Issue number12
DOIs
Publication statusPublished - 2010 Dec 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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