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Physics of the so q (4) hydrogen atom

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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.

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Authors and Affiliations

  1. Escola Naval, Rio de Janeiro, Brazil

    P. G. Castro

  2. Centre Brasilero de Pesquisas Fisicas, Rio de Janeiro, Brazil

    R. Kullock

Authors
  1. P. G. Castro
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  2. R. Kullock
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Corresponding author

Correspondence to P. G. Castro.

Additional information

The research of R. Kullock was supported by CNPq–Brasil and was partially developed at Universität Wien.

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 185, No. 2, pp. 361–368, November, 2015.

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Castro, P.G., Kullock, R. Physics of the so q (4) hydrogen atom. Theor Math Phys 185, 1678–1684 (2015). https://doi.org/10.1007/s11232-015-0372-1

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  • DOI: https://doi.org/10.1007/s11232-015-0372-1

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