Towards an Observable Test of Noncommutative Quantum Mechanics

  • Liang Shi-Dong School of Physics, Sun Yat-sen University, China
  • T. Harko Department of Physics, Babes-Bolyai University
Keywords: noncommutative quantum mechanics, Seiberg–Witten map, Aharonov–Bohm effect, persistent current

Abstract

The conceptual incompatibility of spacetime in gravity and quantum physics implies the existence of noncommutative spacetime and geometry on the Planck scale. We present the formulation of a noncommutative quantum mechanics based on the Seiberg–Witten map, and we study the Aharonov–Bohm effect induced by the noncommutative phase space. We investigate the existence of the persistent current in a nanoscale ring with an external magnetic field along the ring axis, and we introduce two observables to probe the signal coming from the noncommutative phase space. Based on this formulation, we give a value-independent criterion to demonstrate the existence of the noncommutative phase space.

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Published
2019-11-25
How to Cite
Shi-Dong, L., & Harko, T. (2019). Towards an Observable Test of Noncommutative Quantum Mechanics. Ukrainian Journal of Physics, 64(11), 983. https://doi.org/10.15407/ujpe64.11.983
Section
Fields and elementary particles