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Quantum phase for an electric quadrupole 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 qaudrupole 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 both on a noncommutative space and a noncommutative phase space, we obtain quantum phases of the electric quadrupole moment, respectively. We demonstrate that these phases are geometric and dispersive.

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Authors and Affiliations

  1. School of Mathematical Science, Capital Normal University, Beijing, 100048, China

    Halqem Nizamidin & Abduwali Anwar

  2. School of Physics Science and Technology, Xinjiang University, Urumqi, 830046, China

    Sayipjamal Dulat

  3. Department of Physics, Hangzhou Normal University, Hangzhou, 310036, China

    Kang Li

Authors
  1. Halqem Nizamidin
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  2. Abduwali Anwar
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  3. Sayipjamal Dulat
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  4. Kang Li
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Correspondence to Sayipjamal Dulat.

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Nizamidin, H., Anwar, A., Dulat, S. et al. Quantum phase for an electric quadrupole moment in noncommutative quantum mechanics. Front. Phys. 9, 446–450 (2014). https://doi.org/10.1007/s11467-014-0425-1

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  • DOI: https://doi.org/10.1007/s11467-014-0425-1

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