Commutator Anomaly in Noncommutative Quantum Mechanics

Details Commutator Anomaly in Noncommutative Quantum Mechanics Commutator Anomaly in Noncommutative Quantum Mechanics

2005-08-09

arxiv.org/abs/hep-th/0508060v1

Mod.Phys.Lett.A21:2971-2976,2006

Physics

High Energy Physics

High Energy Physics - Theory

7 pages

Scientific paper

10.1142/S0217732306020585

In this letter, firstly, the Schr$\ddot{o}$dinger equation on noncommutative phase space is given by using a generalized Bopp's shift. Then the anomaly term of commutator of arbitrary physical observable operators on noncommutative phase space is obtained. Finally, the basic uncertainty relations for space-space and space-momentum as well as momentum-momentum operators in noncommutative quantum mechanics (NCQM), and uncertainty relation for arbitrary physical observable operators in NCQM are discussed.

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