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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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  • https://doi.org/10.4213/tmf6074
  • https://www.mathnet.ru/eng/tmf/v152/i1/p118
    • This publication is cited in the following 2 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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