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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 152, Number 1, Pages 118–132
DOI: https://doi.org/10.4213/tmf6074 (Mi tmf6074) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Dressing method in matter + radiation quantum models

S. B. Leble

Technical University of Gdańsk
Full-text PDF (420 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6074
Abstract: We consider spectral problems related to Dicke and Jaynes–Cummings matter–radiation Hamiltonians and write the spectrum of a perturbed Dicke model (of a trapped ion interacting with the center-of-mass motion) in explicit form. We derive the dressing chain equations for non-Abelian elements and investigate them for two-state matter models. We discuss embedding of Jaynes–Tavis–Cummings models and nonrotating wave terms.
Keywords: Darboux transformation, dressing chain equation, Jaynes–Cumming model, Dicke model, matrix shape invariant potential.
English version:
Theoretical and Mathematical Physics, 2007, Volume 152, Issue 1, Pages 977–990
DOI: https://doi.org/10.1007/s11232-007-0082-4
Bibliographic databases:
Language: Russian
Citation: S. B. Leble, “Dressing method in matter + radiation quantum models”, TMF, 152:1 (2007), 118–132; Theoret. and Math. Phys., 152:1 (2007), 977–990
Citation in format AMSBIB
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\paper Dressing method in matter\,$+$\,radiation quantum models
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\pages 118--132
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\jour Theoret. and Math. Phys.
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Linking options:
  • https://www.mathnet.ru/eng/tmf6074
  • https://doi.org/10.4213/tmf6074
  • https://www.mathnet.ru/eng/tmf/v152/i1/p118
    • This publication is cited in the following 2 articles:
    1. S. B. Leble, “Integrable potentials by Darboux transformations in rings and quantum and classical problems”, Theoret. and Math. Phys., 197:1 (2018), 1487–1500  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. A. I. Aptekarev, M. A. Lapik, Yu. N. Orlov, “Asymptotic behavior of the spectrum of combination scattering at Stokes phonons”, Theoret. and Math. Phys., 193:1 (2017), 1480–1497  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    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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    Full-text PDF :232
    References:49
    First page:3
     
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