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Quantum Phase for an Electric Multipole Moment in Noncommutative Quantum Mechanics

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Abstract

We study the noncommutative nonrelativistic quantum dynamics of a neutral particle, which possesses an electric multipole moment, in the presence of an external magnetic field. First, by introducing a shift for the magnetic field we give the Schrödinger equations in the presence of an external magnetic field both on a noncommutative space and a noncommutative phase space, respectively. Then by solving the Schrödinger equations, we obtain quantum phases of the electric multipole moment both on a noncommutative space and a noncommutative phase space. We demonstrate that these phase are geometric and dispersive.

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Acknowledgments

This research was supported by the National Natural Science Foundation of China Grant Nos. 11465018, 61501026 and XJEDU2014I058.

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Authors and Affiliations

  1. Department of Physics, Hotan Teachers Collage, Hotan, 848000, Xinjiang, China

    Mamatabdulla Hekim

  2. Urumqi National Cadre College, Urumqi, 830046, Xinjiang, China

    Abduwali Anwar

  3. Department of Physics, Shaanxi University of Technology, Hanzhong, 723000, Xian, China

    Jianhua Wang

Authors
  1. Mamatabdulla Hekim
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  2. Abduwali Anwar
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  3. Jianhua Wang
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Corresponding author

Correspondence to Jianhua Wang.

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Hekim, M., Anwar, A. & Wang, J. Quantum Phase for an Electric Multipole Moment in Noncommutative Quantum Mechanics. Int J Theor Phys 55, 3226–3233 (2016). https://doi.org/10.1007/s10773-016-2953-7

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  • DOI: https://doi.org/10.1007/s10773-016-2953-7

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