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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 184, Number 3, Pages 367–379
DOI: https://doi.org/10.4213/tmf8913 (Mi tmf8913) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The functional squeeze operator algebra in Maxwell–Chern–Simons electrodynamics

A. A. Andrianova, S. S. Kolevatova, R. Soldatib

a St. Petersburg State University, St. Petersburg, Russia
b Dipartimento di Fisica, Università di Bologna, Istituto Nazionale di Fisica Nucleare, Sezione di Bologna, Bologna, Italy
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DOI: https://doi.org/10.4213/tmf8913
Abstract: Using annihilation and creation squeeze operators, we construct a basis of Hermitian generators obeying the $SU(2)$ Lie algebra. We discuss the relations between the Maxwell–Chern–Simons electrodynamics vacuum and the normal vacuum and show that the most general Bogoliubov transformation is just a functional rotation in the Fock space.
Keywords: Maxwell–Chern–Simons electrodynamics, squeezed state, Bogoliubov transformation.
Funding agency Grant number
Russian Foundation for Basic Research 13-02-00127
Saint Petersburg State University 11.38.660.2013
Dynasty Foundation
Received: 28.02.2015
English version:
Theoretical and Mathematical Physics, 2015, Volume 184, Issue 3, Pages 1213–1223
DOI: https://doi.org/10.1007/s11232-015-0329-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Andrianov, S. S. Kolevatov, R. Soldati, “The functional squeeze operator algebra in Maxwell–Chern–Simons electrodynamics”, TMF, 184:3 (2015), 367–379; Theoret. and Math. Phys., 184:3 (2015), 1213–1223
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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