@article{955c9ce5478944959aca178d1e18251a,
title = "Implementation problem for the canonical commutation relation in terms of quantum white noise derivatives",
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.",
author = "Ji, {Un cig} and Nobuaki Obata",
note = "Funding Information: The authors thank Professors S. Albeverio, F. Hiroshima, P. Malliavin, and R. Streater for their stimulating discussion. They are also grateful to the referee for valuable comments. U. C. Ji is supported by Mid-career Researcher Program through NRF grant funded by the MEST (No. R01-2008-000-10843-0). N. Obata is supported by the Grant-in-Aid for Scientific Research from JSPS No. 20340025. Copyright: Copyright 2011 Elsevier B.V., All rights reserved.",
year = "2010",
month = dec,
day = "1",
doi = "10.1063/1.3516477",
language = "English",
volume = "51",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics Publising LLC",
number = "12",
}