An implementation problem for boson fields and quantum Girsanov transform.
In: Journal of Mathematical Physics, Jg. 57 (2016-08-01), Heft 8, S. 1-21
Online
academicJournal
Zugriff:
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. [ABSTRACT FROM AUTHOR]
Titel: |
An implementation problem for boson fields and quantum Girsanov transform.
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Autor/in / Beteiligte Person: | Un Cig Ji ; Obata, Nobuaki |
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Zeitschrift: | Journal of Mathematical Physics, Jg. 57 (2016-08-01), Heft 8, S. 1-21 |
Veröffentlichung: | 2016 |
Medientyp: | academicJournal |
ISSN: | 0022-2488 (print) |
DOI: | 10.1063/1.4960454 |
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