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The Wigner Functions for Neutral Particles in an External Electromagnetic Field in Noncommutative Quantum Mechanics

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Abstract

In this paper we study the Wigner functions of neutral particles, which are moving in an external electromagnetic field within noncommutative quantum mechanics. To do so, first, we review briefly the Wigner functions in noncommutative quantum mechanics. Then we calculate the Wigner functions both in noncommutative space and noncommutative phase space, the additional terms related to the space-space and momentum-momentum non-commutativity are given explicitly.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant No. 11165014). We thank Jumakari Mamat for proof reading.

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Authors and Affiliations

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

    Halqem Nizamidin

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

    Rehimhaji Yakup & Sayipjamal Dulat

  3. Department of Physics, Hotan Teachers College, Hotan, 848000, Xinjiang, China

    Mamatabdulla Hekim

Authors
  1. Halqem Nizamidin
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  2. Rehimhaji Yakup
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  3. Sayipjamal Dulat
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  4. Mamatabdulla Hekim
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Correspondence to Sayipjamal Dulat.

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Nizamidin, H., Yakup, R., Dulat, S. et al. The Wigner Functions for Neutral Particles in an External Electromagnetic Field in Noncommutative Quantum Mechanics. Int J Theor Phys 54, 561–571 (2015). https://doi.org/10.1007/s10773-014-2248-9

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  • DOI: https://doi.org/10.1007/s10773-014-2248-9

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