Length in a Noncommutative Phase Space


  • Kh. P. Gnatenko Department for Theoretical Physics, Ivan Franko National University of Lviv
  • V. M. Tkachuk Department for Theoretical Physics, Ivan Franko National University of Lviv




noncommutative phase space, minimal length, uncertainty relations


We study restrictions on the length in a noncommutative phase space caused by noncommutativity. The uncertainty relations for coordinates and momenta are considered, and the lower bound of the length is found. We also consider the eigenvalue problem for the squared length operator and find the expression for the minimal length in the noncommutative phase space.


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How to Cite

Gnatenko, K. P., & Tkachuk, V. M. (2018). Length in a Noncommutative Phase Space. Ukrainian Journal of Physics, 63(2), 102. https://doi.org/10.15407/ujpe63.2.102



General physics