SOME APPLICATIONS OF COHERENT STATE FORMULATION OF THE WIGNER OPERATOR

FAN Hong-Yi; RUAN Tu-Nan

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> 1985, Vol. 9> Issue(1) : 19-33

SOME APPLICATIONS OF COHERENT STATE FORMULATION OF THE WIGNER OPERATOR

FAN Hong-Yi ^, ,
RUAN Tu-Nan

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper both the normal product form and the coherent state form of the Wigner operator are derived. Furthermore, the applications of the new forms of the Wigner operator are also presented, which are involved in deriving some new quantum operator formulas, in the coherent state generalization of the Moyal theorem, and in evaluating some quantum operators which corresponds to the given classical functions in the Weyl manner and vice versa.

References

[1]

McCoy, N. H., Proc. Nati Acad. Sci., 18(1932), 674.[2] Weyl, H., Z. Physik, 46( 1927), 1. Weyl, H., The Theory of Groups and Quantum Mechanics (Dover Publications, New Yotk, 1950)[3] Wigner, E. P., Phys. Rev., 40(1932), 749. O'Connel, R. F. and Wignet, E. P., Phys. Lett., 83A(1981), 145.[4] Moyal, J. E., Proc. Cambridge Phys., 19(1949), 99.[5] Glauber, R. G., Phys. Rev., 131(1963), 2766.[6] Louisell, W. H., Quantum Statistical Properties of Radiation, John Wiley (1973) 156. [7] Miuahi, M. M., Jour. Math. Phys., 16(1975), 2201. [8] Moyal, J., E. el, Proc. Camb. Phil. Soc., 45 (1949), 545. [9] Tarō Kashiwa, Prog. Theor. Phys., 64, No. 6, (1980), 2164.

[1]	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
[2]	MA Kai , WANG Jian-Hua , YUAN Yi . Wigner function for the Dirac oscillator in spinor space. Chinese Physics C, 2011, 35(1): 11-15. doi: 10.1088/1674-1137/35/1/003
[3]	WANG Zhong-Qing . Antibunching Properties for the Eigenstates of the Higher Powers of Annihilation Operator of a q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2003, 27(2): 105-108.
[4]	WANG Ji-Suo , FENG Jian , LIU Tang-Kun , ZHAN Ming-Sheng . Antibunching Effect of Eigenstates of the Operator bQ－K in a Q-Deformed Non-harmonic Oscillator. Chinese Physics C, 2002, 26(6): 569-575.
[5]	WANG Zhong-Qing . Antibunching Effect for the Eigenstate of the Higher Powers of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 2001, 25(10): 964-970.
[6]	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.
[7]	ZHANG PengFei , RUAN TuNan . Spin Operators in the Quantum Field Theory. Chinese Physics C, 2000, 24(8): 775-779.
[8]	WANG JiSuo , LIU TangKun , ZHAN MingSheng . Eigenstates of the Higher Powers of Annihilation Operator of a Q-Deformed Non-harmonic Oscillator and Their Higher-Order Squeezing. Chinese Physics C, 2000, 24(12): 1115-1122.
[9]	Wang Jisuo , Sun Changyong , Teng Aiping . Quantum Statistic Properties of Eigenstates of the Annihilation Operatora_{qs^k of Two Parameter Deformed Harmonic Oscillator}. Chinese Physics C, 1997, 21(9): 793-800.
[10]	Wei Lianfu , Wang Shunjin , Jie Quanlin . q-Analogue Boson Inverse Operators and Their Application. Chinese Physics C, 1997, 21(11): 1031-1034.
[11]	Xie Mi , Jin Baiqi , Ma Zhongqi . L^± Operators and Quantum Enveloping Algebras. Chinese Physics C, 1996, 20(7): 617-624.
[12]	Wang Jisuo , Sun Changyong , He Jinyu . Eigenstates of the Higher Power of the Annihilation Operator ofTwo-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1996, 20(8): 703-706.
[13]	Zhou Huanqiang , He Jingsong , Zhang Xinming . Eigenstates of the Second Power of the Annihilation Operator of Two-Parameter Deformed Harmonic Oscillator. Chinese Physics C, 1995, 19(3): 251-257.
[14]	YANG Huan-Xiong . Hamiltonian Formalism of WZNW Field Under Chevalley Basis. Chinese Physics C, 1992, 16(8): 696-703.
[15]	LI Chong-Sheng , HU Bing-Quan . The Neutron Electric Dipole Moment and the Weinberg's Operator. Chinese Physics C, 1992, 16(10): 900-911.
[16]	YU Zu-Rong . Irreducible Representations and Wigner Coefficients of Quantum Algebra SL_q(3). Chinese Physics C, 1992, 16(9): 832-839.
[17]	CHEN Xue-Jun . EXPRESSIONS OF FERMION OPERATORS IN THE INTERACTING BOSON-FERMION MODELS. Chinese Physics C, 1990, 14(2): 160-163.
[18]	ZENG GAO-JIAN . THE ACTION OF WIGNER OPERATOR OF SU₃ GROUP. Chinese Physics C, 1981, 5(2): 217-226.
[19]	LI ZI-PING . APPROXIMATE SEQUENCE FOR U（t,t₀）-OPERATOR. Chinese Physics C, 1979, 3(4): 511-517.
[20]	HE ZUO-XIU , HUANG TAO . ON THE APPLICATIONS OF STRONG PCAC. Chinese Physics C, 1979, 3(6): 665-675.

Access

Get Citation

FAN Hong-Yi and RUAN Tu-Nan. SOME APPLICATIONS OF COHERENT STATE FORMULATION OF THE WIGNER OPERATOR[J]. Chinese Physics C, 1985, 9(1): 19-33.

FAN Hong-Yi and RUAN Tu-Nan. SOME APPLICATIONS OF COHERENT STATE FORMULATION OF THE WIGNER OPERATOR[J]. Chinese Physics C, 1985, 9(1): 19-33. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2666)
PDF Downloads(534)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

SOME APPLICATIONS OF COHERENT STATE FORMULATION OF THE WIGNER OPERATOR

FAN Hong-Yi ^,
RUAN Tu-Nan

Corresponding author: FAN Hong-Yi,

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1985-02-05

Abstract: In this paper both the normal product form and the coherent state form of the Wigner operator are derived. Furthermore, the applications of the new forms of the Wigner operator are also presented, which are involved in deriving some new quantum operator formulas, in the coherent state generalization of the Moyal theorem, and in evaluating some quantum operators which corresponds to the given classical functions in the Weyl manner and vice versa.