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

Un cig Ji; Nobuaki Obata

doi:10.1063/1.3516477

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

Un cig Ji, Nobuaki Obata

INF - System Information Sciences

Research output: Contribution to journal › Article › peer-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 language	English
Article number	123507
Journal	Journal of Mathematical Physics
Volume	51
Issue number	12
DOIs	https://doi.org/10.1063/1.3516477
Publication status	Published - 2010 Dec 1

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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