Chinese Physics C > 2004, Vol. 28 > Issue(8): 801-805

Rotation and Its Realization on Noncommutative Space R^2N

Institute of Modern Physics,Northwest University,Xi'an 710069,China

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper,we present the realization of unitary transformation that is corresponding to symplectic transformation of coordinate on noncommunicative R ^2N,and give out the transformation of wave function caused by the unitary transformation,i,e.,it is the matrix unit of unitary transformation.

References

[1]

. Seiberg N, Witt en E. JHEP, 1999, 032: 99092. Connes A.Non-Commut ative Geomet ry.New York: Academi c Press, 19943. CHEN Y X, HOU B Y, HOU B Y. Nucl. Phys. , 2002, B638: 220-2424. Karabali D, Nair V P.Nucl. Phys. , 2002, B641: 533-5465. Polchinski J. St ring Theory. London: Cambridge University Press, 1998.1 316. Mart inec E J, Moore G. Noncommutat ive Solitons on Orbifold. hep..th/0101199.7. DENG H, HOU B Y, SHI K J. Sol iton Solutions on Noncommutat iveOrbifold T2/ Z4. J.Math.Phys. , preprint

[1]	M. Ablikim et al (BESⅡ collaboration). First evidence of ψ(2S)→Ω^-Ω⁺. Chinese Physics C, 2012, 36(11): 1040-1045.doi:10.1088/1674-1137/36/11/002
[2]	LIAO Yi. Field Theory on Non-commutative Space-Time and Some Related Phenomenology. Chinese Physics C, 2007, 31(9): 860-863.
[3]	HE Xiao-Gang,LI Xue-Qian. Probing Noncommutative Space-Time Scale Using γγ→Z at ILC. Chinese Physics C, 2007, 31(9): 844-848.
[4]	WEN Jun-Qing,ZHU Qiao,SHI Kang-Ji. New Soliton Solutions in Noncommutative Torus. Chinese Physics C, 2006, 30(2): 89-93.
[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]	WANG Jian-Hua,LI Kang. Split Angular Momentum in Noncommutative Phase Space. Chinese Physics C, 2006, 30(11): 1053-1057.
[7]	SHI Guo-Fang,DENG Hui,XIONG Hua-Hui,SHI Kang-Jie. Quantum States and Soltion Solutions on Noncommutative Orbifold R4/G. Chinese Physics C, 2004, 28(10): 1033-1039.
[8]	WANG Shun-Jin,GUO Yuan-Jun. Complementary Chaos and Spin Polarization Stability in Cyclotrons Studied from the Nonautonomous SU(2)Dynamical System. Chinese Physics C, 2003, 27(12): 1123-1127.
[9]	WANG MeiXu,YANG WenLi,HOU BoYu. Rational Ruijsenaars-Schneider Models(n=2) Governed by the Same Non-dynamical r-Matrix as in Calogero-Moser Ones. Chinese Physics C, 2000, 24(4): 300-305.
[10]	Yu Zhaoxian,Zhang Dexing,Liu Yehou. Inhomogeneous Inverse Differential Realizations of the SU(2) Group. Chinese Physics C, 1998, 22(7): 602-606.
[11]	Yang Jianjun,Ma Boqiang,Li Guanglie. Non-perturbative Quark Propagator and the Study of the Non-trivial Q²Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[12]	HUO Lei,JIANG Yu-Zhen,WANG Shan,ZHANG Wei-Ning,LIU Yi-Ming. Spatial Parameter from Two-pion Interferometry. Chinese Physics C, 1992, 16(9): 816-820.
[13]	HOU Bo-Yu,SHI Kang-Jie,YUE Rui-Hong. The Crossing Matrices and Correlation Function in Nonunitary SU_K(2) Wess-Zumino-Witten Model. Chinese Physics C, 1992, 16(5): 414-422.
[14]	LI Zhi-Bing,ZHENG Wei-Hong,GUO Shuo-Hong. THE WILSON LOOP EXPECTATION VALUES IN 2-AND 3-DIMENSIONAL su(2) LGT. Chinese Physics C, 1989, 13(6): 512-517.
[15]	BIAN Jian-Guo. A REAL-SPACE RENORMALIZATION-GROUP ANALYSIS FOR Z₂LATTICE GAUGE THEORY COUPLED TO A HIGGS FIELD. Chinese Physics C, 1989, 13(1): 29-34.
[16]	SA Bei-Hao,ZHU Zheng-Kun,ZHANG Xiao-Ze,JIN Xing-Nan. THE EVIDENCE OF DECONFINEMENT PHASE TRANSITION OF SU(2) LATTICE GAUGE MODEL BY MONTE CARLO METHOD. Chinese Physics C, 1988, 12(5): 601-607.
[17]	SHEN Qi-Xing,WU Ji-Min,LU Jing-Xian,ZHAO Pei-Ying. THE QCD BEHAVIOURS OF THEXF₃(X,Q²) UP TO THE LEADING LOG IN THE NEUTRINO DEEPINELASTIC PROCESSES. Chinese Physics C, 1983, 7(3): 309-315.
[18]	Lu Jing-xian. 2π→2K SCATTERING AND πK ELASTIC SCATTERING. Chinese Physics C, 1980, 4(1): 28-32.
[19]	Ge Mo-lin,Duan Yi-shi. SPACE OF CONSTANT CURVATURE ANDSU₂-DUAL CHARGES. Chinese Physics C, 1980, 4(2): 173-178.
[20]	HOU BO-YU,HOU BO-YUAN. ZERO ENERGY FERMION IN TOPOLOGICAL NONTRIVIAL SPHERICAL SYMMETRICAL FIELD ON MINKOWSKI SPACE. Chinese Physics C, 1979, 3(6): 697-707.

Access

Get Citation

XIONG Hua-Hui, DENG Hui, SHI Guo-Fang and SHI Kang-Jie. Rotation and Its Realization on Noncommutative Space R ^2N[J]. Chinese Physics C, 2004, 28(8): 801-805.

XIONG Hua-Hui, DENG Hui, SHI Guo-Fang and SHI Kang-Jie. Rotation and Its Realization on Noncommutative Space R ^2N[J]. Chinese Physics C, 2004, 28(8): 801-805. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2004-02-04
Revised: 1900-01-01

Article Metric

Article Views(3588)
PDF Downloads(479)
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

Rotation and Its Realization on Noncommutative Space R^2N

Corresponding author:XIONG Hua-Hui,

Institute of Modern Physics,Northwest University,Xi'an 710069,China

Received Date:2004-02-04
Accepted Date:1900-01-01
Available Online:2004-08-05

Abstract:In this paper,we present the realization of unitary transformation that is corresponding to symplectic transformation of coordinate on noncommunicative R^2N,and give out the transformation of wave function caused by the unitary transformation,i,e.,it is the matrix unit of unitary transformation.