Commutator Anomaly in Noncommutative Quantum Mechanics

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.

7 pages

References in corpus (1)

• Representation of noncommutative phase space

Cited by in corpus (5)

• A comparative review of four formulations of noncommutative quantum mechanics
• Electron dynamics in noncommutative geometry with magnetic field and Zitterbewegung phenomenon
• Quantum effects of Aharonov-Bohm type and noncommutative quantum mechanics
• From Noncommutative Sphere to Nonrelativistic Spin
• Zitterbewegung in Noncommutative Geometry