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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 201, Number 1, Pages 105–117
DOI: https://doi.org/10.4213/tmf9652 (Mi tmf9652) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Full analytic spectrum of generalized Jaynes–Cummings Hamiltonians

A. J. Adanmitonde, G. Y. H. Avossevou

Institut de Mathématiques et de Sciences Physiques, Université d’Abomey-Calavi – Unité de Recherche en Physique Théorique, Porto-Novo, République du Bénin
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DOI: https://doi.org/10.4213/tmf9652
Abstract: We develop an analytic formalism using basic quantum mechanics techniques to successfully solve the multiphoton Jaynes–Cummings and the generalized Dicke Hamiltonians. For this, we split the Hamiltonians of these models into two operators that have the properties of constants of motion for these systems. We then use some well-known operator properties to obtain complete analytic spectra for the considered models.
Keywords: quantum mechanics, Jaynes–Cummings Hamiltonian, commuting operator, constant of motion, confluent hypergeometric function.
Received: 09.11.2018
Revised: 08.04.2019
English version:
Theoretical and Mathematical Physics, 2019, Volume 201, Issue 1, Pages 1503–1513
DOI: https://doi.org/10.1134/S0040577919100076
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. J. Adanmitonde, G. Y. H. Avossevou, “Full analytic spectrum of generalized Jaynes–Cummings Hamiltonians”, TMF, 201:1 (2019), 105–117; Theoret. and Math. Phys., 201:1 (2019), 1503–1513
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v201/i1/p105
    • This publication is cited in the following 1 articles:
    1. D. H. Wu, V. V. Albert, “Approximating the two-mode two-photon Rabi model”, Phys. Lett. A, 422 (2022), 127779  crossref  mathscinet  isi
    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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