Wigner function for the Dirac oscillator in spinor space

MA Kai; WANG Jian-Hua; YUAN Yi

doi:10.1088/1674-1137/35/1/003

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2011, Vol. 35> Issue(1) : 11-15 DOI: 10.1088/1674-1137/35/1/003

Wigner function for the Dirac oscillator in spinor space

Abstract
HTML
Reference
Related

PDF

Abstract：
The Wigner function for the Dirac oscillator in spinor space is studied in this paper. Firstly, since the Dirac equation is described as a matrix equation in phase space, it is necessary to define the Wigner function as a matrix function in spinor space. Secondly, the matrix form of the Wigner function is proven to support the Dirac equation. Thirdly, by solving the Dirac equation, energy levels and the Wigner function for the Dirac oscillator in spinor space are obtained.

References

[1]

Wigner E. Phys. Rev., 1932, 40: 749-7592 Bertrand J, Bertrand P. Foundat. Phys., 1987, 17: 397-4053 Vogel K, Risken H. Phys. Rev. A, 1989, 40: 2847-28494 Kim Y,Wigner E. Phys. Rev. A, 1987, 36: 1293-1297; 1988, 38: 1159-11675 Hillery M, O'Connell R, Scully M et al. Phys. Repts., 1984, 106(3): 121-1676 Balasz N L, Jennings B K. Phys. Repts., 1984, 104(6): 347-3917 Takayuki Hori, Takao Koikawa, Takuya Maki. Prog. Theor. Phys, 2002, 108: 1123-11418 Lee Hai-Woong. Phys. Repts., 1995, 259(3): 147-2119 Zachos Cosmas. Int. J. Mod. Phys. A, 2002, 17: 297-31610 Nuno Costa Dias, Joao Nuno Prata. J. Math. Phys., 2007, 48: 012109-01212711 Moshinskyt M, Szczepaniaks A. J. Phys. A: Math. Gen., 1989, 22: 817-82012 WANG Jian-Hua, LI Kang. J. Phys. A: Math. Theor., 2007, 40: 2197-220213 Kurtsiefer Ch, Pfau T, Mlynek J. Nature, 1997, 386: 150-15314 HENG Tai-Hua, LIN Bing-Sheng, JING Si-Cong. Chin. Phys. Lett., 2008, 25: 3535-353815 WANG Jian-Hua, Li Kang. Chin. Phys. Lett., 2007, 24: 5-716 HENG Tai-Hua, LI Ping, JING Si-Cong. Chin. Phys. Lett., 2007, 24: 592-59517 DULAT Sayipjamal, LI Kang. Chin. Phys. C, 2008, 32: 92-9518 DULAT Sayipjamal, LI Kang. Eur. Phys. J. C, 2008, 54: 333-33719 LI Kang, WANG Jian-Hua. Eur. Phys. J. C, 2007, 50(4): 1007-101120 LI Kang, WANG Jian-Hua, CHEN Chi-Yi. Mod. Phys. Lett. A, 2005, 20(28): 2165-217421 LI Kang, DULAT Sayipjamal. Eur. Phys. J. C, 2006, 46: 825-82822 LI Kang, WANG Jian-Hua, DULAT Sayipjamal et al. Int. J. Theor. Phys., 2010, 49: 134-143

[1]	Qi-Ka Jia . Parameter design considerations for an oscillator IR-FEL. Chinese Physics C, 2017, 41(1): 018101. doi: 10.1088/1674-1137/41/1/018101
[2]	Mustapha Maamache , Jeong Ryeol Choi . Quantum-classical correspondence for the inverted oscillator. Chinese Physics C, 2017, 41(11): 113106. doi: 10.1088/1674-1137/41/11/113106
[3]	Jun-Long Tian , Hai-Tao Cui , Teng Gao , Ning Wang . Effect of Wigner energy on the symmetry energy coefficient in nuclei. Chinese Physics C, 2016, 40(9): 094101. doi: 10.1088/1674-1137/40/9/094101
[4]	WU Qing , ZHOU Li-Juan , XIANG Qian-Fei , MA Wei-Xing . Multiquark cluster form factors in the relativistic harmonic oscillator model. Chinese Physics C, 2015, 39(1): 013102. doi: 10.1088/1674-1137/39/1/013102
[5]	S. S. Hosseini , S. Zarrinkamar . Dirac oscillator in noncommutative space. Chinese Physics C, 2014, 38(6): 063104. doi: 10.1088/1674-1137/38/6/063104
[6]	LIANG Mai-Lin , ZHANG Ya-Bin , YANG Rui-Lin , ZHANG Fu-Lin . Dirac equation with a magnetic field in 3D non-commutative phase space. Chinese Physics C, 2013, 37(6): 063106. doi: 10.1088/1674-1137/37/6/063106
[7]	LUO Feng , BEI Hua , DAI Zhi-Min . Design study of an FEL oscillator with a waveguide. Chinese Physics C, 2010, 34(4): 512-515. doi: 10.1088/1674-1137/34/4/019
[8]	BEI Hua , DENG Hai-Xiao , DAI Zhi-Min . Design of EPU oscillator cavity in femtosecond accelerator. Chinese Physics C, 2009, 33(S2): 93-95. doi: 10.1088/1674-1137/33/S2/024
[9]	MA Qiao-Sheng , WU Yong , FAN Zhi-Kai , GAN Yan-Qing , JIN Xiao , ZHOU Chuan-Ming . Experimental investigation of backward wave oscillator with low magnetic field. Chinese Physics C, 2008, 32(3): 222-226. doi: 10.1088/1674-1137/32/3/013
[10]	MA Qiao-Sheng , ZHOU Chuan-Min , WU Yong . Theoretical investigation of a backward wave oscillator. Chinese Physics C, 2008, 32(4): 290-293. doi: 10.1088/1674-1137/32/4/010
[11]	WEI Gao-Feng , LONG Chao-Yun , LONG Zheng-Wen , QIN Shui-Jie . Exact solution to two-dimensional isotropic charged harmonic oscillator in uniform magnetic field in non-commutative phase space. Chinese Physics C, 2008, 32(4): 247-250. doi: 10.1088/1674-1137/32/4/001
[12]	HUANG Shi-Zhong , RUAN Tu-Nan , WU Ning , ZHENG Zhi-Peng . Bargmann-Wigner Equation and High Spin Field Equations. Chinese Physics C, 2001, 25(11): 1058-1064.
[13]	YU Zu-Rong . Irreducible Representations and Wigner Coefficients of Quantum Algebra SL_q(3). Chinese Physics C, 1992, 16(9): 832-839.
[14]	WU Dan-Di . Ambiguity of Perturbative Dirac Theory. Chinese Physics C, 1992, 16(2): 183-186.
[15]	LI Yuan-Jie . VACUUM GAP OF DIRAC PARTICLE IN THE STRONG GRAVITY. Chinese Physics C, 1990, 14(3): 236-239.
[16]	LI Yuan-Jie . RADIAL SOLUTIONS OF THE DIRAC EQUATION IN A LEMAITRE METRIC. Chinese Physics C, 1989, 13(8): 701-705.
[17]	Mao Naifeng , Li Zenghai . Spline Function Representation For Transformation of Beam Phase Space With Arbitrary Contours. Chinese Physics C, 1989, 13(S2): 149-156.
[18]	LI Yuan-Jie . VACUUM SOLUTIONS OF DIRAC IN A R-W UNIVERSE. Chinese Physics C, 1988, 12(6): 737-741.
[19]	FAN Hong-Yi , RUAN Tu-Nan . SOME APPLICATIONS OF COHERENT STATE FORMULATION OF THE WIGNER OPERATOR. Chinese Physics C, 1985, 9(1): 19-33.
[20]	ZENG GAO-JIAN . THE ACTION OF WIGNER OPERATOR OF SU₃ GROUP. Chinese Physics C, 1981, 5(2): 217-226.

Access

Get Citation

MA Kai, WANG Jian-Hua and YUAN Yi. Wigner function for the Dirac oscillator in spinor space[J]. Chinese Physics C, 2011, 35(1): 11-15. doi: 10.1088/1674-1137/35/1/003

MA Kai, WANG Jian-Hua and YUAN Yi. Wigner function for the Dirac oscillator in spinor space[J]. Chinese Physics C, 2011, 35(1): 11-15. doi: 10.1088/1674-1137/35/1/003 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-03-01
Revised: 2010-04-08

Article Metric

Article Views(2631)
PDF Downloads(505)
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

Wigner function for the Dirac oscillator in spinor space

Received Date: 2010-03-01
Accepted Date: 2010-04-08
Available Online: 2011-01-05

Abstract: The Wigner function for the Dirac oscillator in spinor space is studied in this paper. Firstly, since the Dirac equation is described as a matrix equation in phase space, it is necessary to define the Wigner function as a matrix function in spinor space. Secondly, the matrix form of the Wigner function is proven to support the Dirac equation. Thirdly, by solving the Dirac equation, energy levels and the Wigner function for the Dirac oscillator in spinor space are obtained.