Non-commutative phase space and its space-time symmetry

LI Kang; Dulat Sayipjamal

doi:10.1088/1674-1137/34/7/003

Chinese Physics C> 2010, Vol. 34> Issue(7) : 944-948 DOI: 10.1088/1674-1137/34/7/003

Non-commutative phase space and its space-time symmetry

LI Kang ^, ,
Dulat Sayipjamal ,

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Abstract：
First a description of 2+1 dimensional non-commutative (NC) phase space is presented, and then we find that in this formulation the generalized Bopp's shift has a symmetric representation and one can easily and straightforwardly define the star product on NC phase space. Then we define non-commutative Lorentz transformations both on NC space and NC phase space. We also discuss the Poincare symmetry. Finally we point out that our NC phase space formulation and the NC Lorentz transformations are applicable to any even dimensional NC space and NC phase space.

References

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LI Kang, Dulat Sayipjamal and Non-commutative phase space and its space-time symmetry[J]. Chinese Physics C, 2010, 34(7): 944-948. doi: 10.1088/1674-1137/34/7/003

LI Kang, Dulat Sayipjamal and Non-commutative phase space and its space-time symmetry[J]. Chinese Physics C, 2010, 34(7): 944-948. doi: 10.1088/1674-1137/34/7/003 shu

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Received: 2009-07-28
Revised: 2009-11-25

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Non-commutative phase space and its space-time symmetry

Corresponding author: LI Kang,

Received Date: 2009-07-28

Accepted Date: 2009-11-25

Available Online: 2010-07-05

Abstract:

First a description of 2+1 dimensional non-commutative (NC) phase space is presented, and then we find that in this formulation the generalized Bopp's shift has a symmetric representation and one can easily and straightforwardly define the star product on NC phase space. Then we define non-commutative Lorentz transformations both on NC space and NC phase space. We also discuss the Poincare symmetry. Finally we point out that our NC phase space formulation and the NC Lorentz transformations are applicable to any even dimensional NC space and NC phase space.

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Non-commutative phase space and its space-time symmetry

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通讯作者: 陈斌, bchen63@163.com

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