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Commutator Anomaly in Noncommutative Quantum Mechanics

Sayipjamal Dulat·Kang Li
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Abstract

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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Sayipjamal Dulat, Kang Li. 2005-08-09. Commutator Anomaly in Noncommutative Quantum Mechanics. https://doi.org/10.1142/s0217732306020585

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