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

[1]

. LI Kang, WANG Jian-Hua, CHEN Chi-Yi. Representationof Noncommutative Phase Space. Modern Physics Letter, 2005, A20(28). hep-th/04092342. WANG Jian-Hua, LI Kang, LIU Peng. HEP NP, 2006, 30(5): 387-391(in Chinese)(王剑华, 李康, 刘鹏. 高能物理与核物理, 2006, 30(5): 387-391)3. Douglas M R, Hull C M. JHEP, 1998, 9802: 008. hep-th/97111654. Ardalan F, Arfaei H, Sheikh-Jabbari M M. JHEP, 1999, 9902: 016. hep-th/98100725. CHU S C, HO P M. Nucl. Phys., 1999, B550: 151. hep-th/98122196. CHU S C, HO P M. Nucl. Phys., 2000, B568: 447. hep-th/99061927. Schomerus V. JHEP, 1999, 9906: 030. hep-th/99032058. Banerjee R, Lee C, YANG H S. Seiberg-witten-type Mapsfor Currents and Energy-Momentum Tensors in Noncom-muative Gauge Theories. hep-th/03121039. ZHANG Jian-Zu. Phys. Lett., 2004, B584: 20410. Chaichian M, Sheikh-Jabbari M M, Tureanu A. Phys. Rev.Lett., 2001, 86: 2716. hep-th/001017511. Gamboa J, Loewe M, Rojas J C. Phys. Rev., 2001, D64:067901. hep-th/001022012. Gamboa J et al. Int. J. Mod. Phys., 1999, A17: 2555. hep-th/010612513. Muthukumar B, Mitra P. Phys. Rev., 2002, D66: 027701.hep-ph/020414914. Nair V P, Polychronakos A P. Phys. Lett., 2001, B505:267. hep-th/001117215. Kochan D, Demetrian M. hep-th/010205016. Morariu B, Polychronakos A P. Nucl. Phys., 2001, B610:531. hep-th/010215717. Hatzinikitas A, Smyrnakis I. J. Math. Phys., 2002, 43: 113.hep-th/010307418. Bellucci S, Neressian A, Sochichiu C. Phys. Lett., 2001, B522: 345. hep-th/010613819. Smailagic A, Spallucci E. Phys. Rev., 2002, D65: 107701.hep-th/010821620. Christiansen H R, Schaposnik F A. Phys. Rev., 2002, D65:08600. hep-th/010618121. Acatrinei C. JHEP, 2001, 0109: 007. hep-th/010707822. HO P M, KAO H C. Phys. Rev. Lett., 2002, 88: 151602.hep-th/011019123. Alvarez-Gaume L, Wadia S R. Phys. Lett., 2001, B501:319. hep-th/000621924. Micu A, Sheikh-Jabbari M M. JHEP, 2001, 0101: 025.hep-th/000805725. Riad I F, Sheikh-Jabbari M M. JHEP, 2000, 0008: 045.hep-th/000813226. Douglas M R, Nekrasov N A. Rev. Mod. Phys., 2001, 73:977. hep-th/010604827. QIAN Bo-Chu, ZENG Jin-Yan. Fine Selection and Analysison the Problems of Quantum Mechanics. Second Edition.Beijing: Science Press, 1999. 249-251(in Chinese)(钱伯初, 曾谨言. 量子力学习题精选与剖析. 第一版. 北京: 科学出版社, 1999. 249-251)

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[10]	GU An-Jia , ZHAO Kui , DING Yuan-Tao , ZHANG Bao-Cheng , QUAN Sheng-Wen , CHEN Jia-Er . Beam 2-D Phase-Space Measurement with CT and Cerenkov Radiation “Double Imaging Method”. Chinese Physics C, 2003, 27(5): 455-459.
[11]	HAN Yong . Angular Momentum Projection of Cranked PNC Wave Function. Chinese Physics C, 2000, 24(6): 546-553.
[12]	Zhang Zhongcan , Hu Chenguo , Fang Zhenyun . Path Integral of the Angular Momentum Eigenstates Evolving Whitthe Parameter Linked With Rotation Angle Under the Space Rotation Transformation. Chinese Physics C, 1998, 22(2): 153-161.
[13]	LU Zhong-Dao . EXCITON STATE DENSITY WITH ANGULAR MOMENTUM. Chinese Physics C, 1988, 12(4): 548-553.
[14]	LI Jun-Qing , ZHU Jie-Ding , WANG Zheng-Da , YANG Shi-Jun . ANGULAR MOMENTUM CORRELATION OF FRAGMENTS IN DEEP INELESTIC COLLISIONS. Chinese Physics C, 1985, 9(5): 603-610.
[15]	ZHANG Jing-Ye . A MICROSCOPIC ANALYSIS OF THE DIFFERENCE IN ANGULAR MOMENTUM BETWEEN EXCITED AND GROUND BANDS. Chinese Physics C, 1984, 8(3): 346-351.
[16]	Gu JIN-NAN . i(ω) AND EFFECTIVE ROTATION-ALIGNMENT ANGULAR MOMENTUM J. Chinese Physics C, 1981, 5(4): 513-517.
[17]	GE LING-XIAO , LIu JIAN-YE , ZHONG JI-QUAN , YANG SHI-JUN . THE CONTRIBUTION OF THE NUCLEON EXCHANGE TO THE TRANSFER OF IN DEEP ANGULAR MOMENTUM AND ENERGY INELASTIC COLLISION. Chinese Physics C, 1981, 5(1): 100-107.
[18]	Zhang Jing-ye . ON THE ANGULAR MOMENTUM DIFFERENCE i(ω) BETWEEN SUPER-BAND AND GROUND-BAND. Chinese Physics C, 1980, 4(3): 382-385.
[19]	LEE TZE-PING . ON CLASSICAL ANGULAR MOMENTUM OF AN ELECTRON-MAGNETIC MONOPOLE. Chinese Physics C, 1978, 2(4): 378-381.
[20]	Gao Chung-shou . MASS SPLITTINGS OF MESONS AND BARYONS IN COLOUR SPACE. Chinese Physics C, 1978, 2(1): 90-92.

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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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