A Relation of the Noncommutative Parameters in Generalized Noncommutative Phase Space
Bing-Sheng Lin1** , Tai-Hua Heng2
1 School of Mathematics, South China University of Technology, Guangzhou 5106412 School of Physics and Material Science, Anhui University, Hefei 230601
Abstract ：We introduce the deformed boson operators which satisfy a deformed boson algebra in some special types of generalized noncommutative phase space. Based on the deformed boson algebra, we construct coherent state representations. We calculate the variances of the coordinate operators on the coherent states and investigate the corresponding Heisenberg uncertainty relations. It is found that there are some restriction relations of the noncommutative parameters in these special types of noncommutative phase space.
收稿日期: 2016-08-13
出版日期: 2016-11-28
:
03.65.Fd
(Algebraic methods)
02.40.Gh
(Noncommutative geometry)
03.65.Ta
(Foundations of quantum mechanics; measurement theory)
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2016, Vol. 33 
