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TMF, 2015 Volume 184, Number 3, Pages 367–379 (Mi tmf8913)

This article is cited 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

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.

Received: 28.02.2015

DOI: 10.4213/tmf8913


 English version:
Theoretical and Mathematical Physics, 2015, 184:3, 1213–1223

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