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On uncertainty relations in noncommutative phase space

  • Research Article
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Central European Journal of Physics

Abstract

The uncertainty relations are discussed on a noncommutative plane when noncommutativity of momentum spaces is considered. It is possible to construct normalizable states by simultaneously saturating two coordinate-momentum uncertainty relations. However, under the natural condition θη ≪ 4ħ2 one can not construct a normalizable state by simultaneously saturating any other pairs out of four basic nontrivial uncertainty relations.

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Authors and Affiliations

  1. Department of Physics, Guizhou University, Guiyang Guizhou, 550025, China

    Guangjie Guo & Chaoyun Long

  2. Laboratory for Photoelectric Technology and Application, Guizhou University, Guiyang Guizhou, 550025, China

    Chaoyun Long & Shuijie Qin

Authors
  1. Guangjie Guo
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  2. Chaoyun Long
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  3. Shuijie Qin
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Corresponding author

Correspondence to Guangjie Guo.

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Guo, G., Long, C. & Qin, S. On uncertainty relations in noncommutative phase space. centr.eur.j.phys. 8, 126–130 (2010). https://doi.org/10.2478/s11534-009-0079-8

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  • DOI: https://doi.org/10.2478/s11534-009-0079-8

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