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Two-Dimensional Exactly Solvable Quantum Model Obtained from SU(3)/SU(2) Homogenous Space

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Abstract

In this paper by using of the Euler-angle parametrization of SU(3) Lie group and its symmetry space on S 5≅S U(3) /S U(2), we obtain one two-dimensional Hamiltonian defined on S 2sphere. We show that the quantum system can be interpreted as the motion of a charged particle in presence of an external electric field. We solve the model and obtain its spectrum.

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Authors and Affiliations

  1. Department of Physics, University of Guilan, Rasht, 41635-1914, Iran

    H. Panahi & M. Nemati

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  1. H. Panahi
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  2. M. Nemati
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Correspondence to H. Panahi.

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Panahi, H., Nemati, M. Two-Dimensional Exactly Solvable Quantum Model Obtained from SU(3)/SU(2) Homogenous Space. Int J Theor Phys 56, 2265–2270 (2017). https://doi.org/10.1007/s10773-017-3376-9

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  • DOI: https://doi.org/10.1007/s10773-017-3376-9

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