TY - JOUR AU - Shi-Dong, Liang AU - Harko, T. PY - 2019/11/25 Y2 - 2024/03/28 TI - Towards an Observable Test of Noncommutative Quantum Mechanics JF - Ukrainian Journal of Physics JA - Ukr. J. Phys. VL - 64 IS - 11 SE - Fields and elementary particles DO - 10.15407/ujpe64.11.983 UR - https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2019529 SP - 983 AB - <p>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.</p> ER -