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Teoreticheskaya i Matematicheskaya Fizika, 2015, Volume 185, Number 2, Pages 361–368
DOI: https://doi.org/10.4213/tmf8883 (Mi tmf8883) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Physics of the $so_q(4)$ hydrogen atom

P. G. Castroa, R. Kullockb

a Escola Naval, Rio de Janeiro, Brazil
b Centre Brasilero de Pesquisas Fisicas, Rio de Janeiro, Brazil
Full-text PDF (326 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf8883
Abstract: We investigate a $q$-deformation of the $so(4)$ dynamical symmetry of the hydrogen atom using the theory of the quantum group $su_q(2)$. We derive the energy spectrum in a physically consistent manner and find a degeneracy breaking and also a smaller Hilbert space. We note that using the deformed Casimir as was previously done leads to inconsistencies in the physical interpretation of the theory.
Keywords: hydrogen atom, quantum group, dynamical symmetry.
Received: 04.04.2015
English version:
Theoretical and Mathematical Physics, 2015, Volume 185, Issue 2, Pages 1678–1684
DOI: https://doi.org/10.1007/s11232-015-0372-1
Bibliographic databases:
PACS: 02.20.Uw, 03.65.Fd
Language: Russian
Citation: P. G. Castro, R. Kullock, “Physics of the $so_q(4)$ hydrogen atom”, TMF, 185:2 (2015), 361–368; Theoret. and Math. Phys., 185:2 (2015), 1678–1684
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8883
  • https://www.mathnet.ru/eng/tmf/v185/i2/p361
    • 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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    References:81
    First page:26
     
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