Deformation of noncommutative quantum mechanics

作者：Jiang, Jian-Jian^*; Chowdhury, S. Hasibul Hassan

来源：Journal of Mathematical Physics, 2016, 57(9): 091703.

DOI：10.1063/1.4963142

• SPACE

In this paper, the Lie group G(NC)(alpha,beta,gamma), of which the kinematical symmetry group G(NC) of noncommutative quantum mechanics (NCQM) is a special case due to fixed nonzero alpha, beta, and gamma, is three-parameter deformation quantized using the method suggested by Ballesteros and Musso [J. Phys. A: Math. Theor. 46, 195203 (2013)]. A certain family of QUE algebras, corresponding to G(NC)(alpha,beta,gamma) with two of the deformation parameters approaching zero, is found to be in agreement with the existing results of the literature on quantum Heisenberg group. Finally, we dualize the underlying QUE algebra to obtain an expression for the underlying star-product between smooth functions on G(NC)(alpha,beta,gamma). Published by AIP Publishing.

• 出版日期2016-9
• 单位南开大学