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Matematicheskie Zametki, 2012, Volume 92, Issue 5, Pages 762–777
DOI: https://doi.org/10.4213/mzm10127 (Mi mzm10127) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Generalized Squeezed States and Multimode Factorization Formula

A. M. Chebotarev, T. V. Tlyachev, A. A. Radionov

M. V. Lomonosov Moscow State University
Full-text PDF (601 kB) Citations (8)
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DOI: https://doi.org/10.4213/mzm10127
Abstract: We consider the multimode generalization of the normally ordered factorization formula of squeezings. This formula allows us to establish relationships between various representations of squeezed states, to calculate partial traces, mean values, and variations. The main results are expressed in terms of the matrix representation of canonical transformations which is a convenient and numerically stable mathematical tool. Explicit representations are given for the inner product and the composition of generalized multimode squeezings. Explicitly solvable evolution problems are considered.
Keywords: squeezed state, normal ordered factorization, Schrödinger equation, canonical transformations.
Received: 21.06.2012
English version:
Mathematical Notes, 2012, Volume 92, Issue 5, Pages 700–713
DOI: https://doi.org/10.1134/S0001434612110120
Bibliographic databases:
Document Type: Article
UDC: 517.958:530.145.6
Language: Russian
Citation: A. M. Chebotarev, T. V. Tlyachev, A. A. Radionov, “Generalized Squeezed States and Multimode Factorization Formula”, Mat. Zametki, 92:5 (2012), 762–777; Math. Notes, 92:5 (2012), 700–713
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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