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

Abstract
HTML
Reference
Related

PDF

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)

[1]	QIU Jing , TANG Jing-Yu , WANG Sheng , WEI Jie . Studies of Transverse Phase Space Painting for the CSNS RCS Injection. Chinese Physics C, 2007, 31(10): 942-946.
[2]	CHANG Zhe , GUAN Cheng-Bo . Statistical Properties of Radiation Fields in a Compact Space. Chinese Physics C, 2007, 31(9): 797-801.
[3]	WEN Jun-Qing , ZHU Qiao , SHI Kang-Ji . New Soliton Solutions in Noncommutative Torus. Chinese Physics C, 2006, 30(2): 89-93.
[4]	DU Ying-Chao , XIANG Dao , HUANG Wen-Hui , HE Xiao-Zhong , CHENG Cheng , DU Tai-Bin , TANG Chuan-Xiang , LIN Yu-Zheng . Transverse Phase Space Measurement Based on Computerized Tomography. Chinese Physics C, 2006, 30(9): 888-891.
[5]	WANG Jian-Hua , LI Kang , LIU Peng . Energy Splitting of Isotropic Harmonic Oscillator in Noncommutative Phase Space. Chinese Physics C, 2006, 30(5): 387-391.
[6]	XU Fu-Rong . High-Spin Excitations of Atomic Nuclei. Chinese Physics C, 2004, 28(S1): 11-15.
[7]	XIONG Hua-Hui , DENG Hui , SHI Guo-Fang , SHI Kang-Jie . Rotation and Its Realization on Noncommutative Space R^2N. Chinese Physics C, 2004, 28(8): 801-805.
[8]	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.
[9]	HAN Yong . Angular Momentum Projection of Cranked PNC Wave Function. Chinese Physics C, 2000, 24(6): 546-553.
[10]	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.
[11]	LIAO Ji-Zhi . ELECTROMAGNETIC TRANSITIONS OF NUCLEI IN ANGULAR MOMENTUM PROJECTION HARTREE-FOCK METHOD. Chinese Physics C, 1989, 13(9): 837-841.
[12]	CHEN Ke-Liang , LIU Guo-Xing , ZHENG Ji-Wen , WANG Su-Fang , FAN Zhi-Guo . MEASUREMENTS OF ANGULAR MOMENTUM EFFECT OF FISSION BARRIER. Chinese Physics C, 1988, 12(5): 658-664.
[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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(4815)
PDF Downloads(804)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
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.

HTML

Reference (1)

Split Angular Momentum in Noncommutative Phase Space

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article