Split Angular Momentum in Noncommutative Phase Space

WANG Jian-Hua; LI Kang

Chinese Physics C> 2006, Vol. 30> Issue(11) : 1053-1057

Split Angular Momentum in Noncommutative Phase Space

WANG Jian-Hua ^, ,
LI Kang

Department of Physics, Shaanxi College of Science and Engineer, Hanzhong 723000, China2 Department of Physics, Hangzhou Teacher's College, Hangzhou 310036, China

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Abstract：
In the very tiny string scale, the effect of noncommutativity of space may appear. In this paper, the expression of angular momentum in Schwinger representation is briefly reviewed first, then the quantum mechanics algebra in noncommutative phase space is discussed, moreover, the angular momentum in noncommutative phase space is represented in terms of creation and annihilation operations of commutative space. At last, the angular momentum splitting effect is discussed in detail.

References

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WANG Jian-Hua and LI Kang. Split Angular Momentum in Noncommutative Phase Space[J]. Chinese Physics C, 2006, 30(11): 1053-1057.

WANG Jian-Hua and LI Kang. Split Angular Momentum in Noncommutative Phase Space[J]. Chinese Physics C, 2006, 30(11): 1053-1057. shu

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Received: 2006-02-16
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Split Angular Momentum in Noncommutative Phase Space

Corresponding author: WANG Jian-Hua,

Department of Physics, Shaanxi College of Science and Engineer, Hanzhong 723000, China2 Department of Physics, Hangzhou Teacher's College, Hangzhou 310036, China

Received Date: 2006-02-16

Accepted Date: 1900-01-01

Available Online: 2006-11-05

Abstract: In the very tiny string scale, the effect of noncommutativity of space may appear. In this paper, the expression of angular momentum in Schwinger representation is briefly reviewed first, then the quantum mechanics algebra in noncommutative phase space is discussed, moreover, the angular momentum in noncommutative phase space is represented in terms of creation and annihilation operations of commutative space. At last, the angular momentum splitting effect is discussed in detail.

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Split Angular Momentum in Noncommutative Phase Space

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通讯作者: 陈斌, [email protected]

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