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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 1, Pages 87–95
DOI: https://doi.org/10.4213/tmf6893 (Mi tmf6893) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons

F. Bagarello

DIEETCAM, Università di Palermo, Palermo, Italy
Full-text PDF (381 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6893
Abstract: It is known that a self-adjoint, time-independent Hamiltonian can be defined for the quantum damped harmonic oscillator. We show that the two vacuums naturally associated with this operator seem to be non-square-integrable when it is expressed in terms of pseudo-bosonic lowering and raising operators. This fact is interpreted as the evidence of a dissipation effect of the classical oscillator on a purely quantum level.
Keywords: quantum harmonic oscillator, pseudo-boson.
Received: 02.04.2011
Revised: 12.05.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 1, Pages 497–504
DOI: https://doi.org/10.1007/s11232-012-0048-z
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. Bagarello, “Dissipation evidence for the quantum damped harmonic oscillator via pseudo-bosons”, TMF, 171:1 (2012), 87–95; Theoret. and Math. Phys., 171:1 (2012), 497–504
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v171/i1/p87
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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