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Quantum mechanics on space with SU(2) fuzziness

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Abstract

Quantum mechanics of models is considered which are constructed in spaces with Lie algebra type commutation relations between spatial coordinates. The case is specialized to that of the group SU(2), for which the formulation of the problem via the Euler parameterization is also presented. SU(2)-invariant systems are discussed, and the corresponding eigenvalue problem for the Hamiltonian is reduced to an ordinary differential equation, as is the case with such models on commutative spaces.

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Authors and Affiliations

  1. Department of Physics, Alzahra University, Tehran, 1993891167, Iran

    Amir H. Fatollahi, Ahmad Shariati & Mohammad Khorrami

Authors
  1. Amir H. Fatollahi
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  2. Ahmad Shariati
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  3. Mohammad Khorrami
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Correspondence to Amir H. Fatollahi.

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Fatollahi, A.H., Shariati, A. & Khorrami, M. Quantum mechanics on space with SU(2) fuzziness. Eur. Phys. J. C 60, 489–494 (2009). https://doi.org/10.1140/epjc/s10052-009-0924-3

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  • DOI: https://doi.org/10.1140/epjc/s10052-009-0924-3

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