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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 148, Number 2, Pages 288–294
DOI: https://doi.org/10.4213/tmf2086 (Mi tmf2086) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Applying the Linblad equation to quantum dissipative systems

V. S. Kirchanov

Perm State Technical University
Full-text PDF (341 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf2086
Abstract: For quantum systems with linear dissipation, we obtain the representation of the Linblad equation in the canonical form via Hermitian operators. Based on this representation, we derive equations for the entropy density and for the statistical projection operator. We consider the quantum harmonic oscillator with linear dissipation as an example.
Keywords: quantum master equation, entropy density equation, projection operator method.
Received: 02.12.2004
Revised: 10.01.2006
English version:
Theoretical and Mathematical Physics, 2006, Volume 148, Issue 2, Pages 1117–1122
DOI: https://doi.org/10.1007/s11232-006-0105-6
Bibliographic databases:
Language: Russian
Citation: V. S. Kirchanov, “Applying the Linblad equation to quantum dissipative systems”, TMF, 148:2 (2006), 288–294; Theoret. and Math. Phys., 148:2 (2006), 1117–1122
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf2086
  • https://doi.org/10.4213/tmf2086
  • https://www.mathnet.ru/eng/tmf/v148/i2/p288
    Erratum
    This publication is cited in the following 5 articles:
    1. V. S. Kirchanov, “Entropy of Quantum Systems with Linear Dissipation”, Russ Phys J, 2023  crossref
    2. Kirchanov V.S., “Quantum Damped Fock Oscillator With Linear Dissipation and the Lindblad Equation”, Russ. Phys. J., 62:2 (2019), 382–385  crossref  isi
    3. Kirchanov, VS, “DIFFUSION AND RELAXATION OF THE FRACTIONAL ORDER IN FRACTAL MEDIA IN THE CLASSICAL AND QUANTUM CASES”, Russian Physics Journal, 52:4 (2009), 343  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    4. V. S. Kirchanov, “Using the Renyi entropy to describe quantum dissipative systems in statistical mechanics”, Theoret. and Math. Phys., 156:3 (2008), 1347–1355  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    5. Kirchanov, VS, “Applying the Liublad equation to quantum dissipative systems (vol 148, pg 1117, 2006)”, Theoretical and Mathematical Physics, 149:2 (2006), 1576  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
    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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