Quantum Field Theory of Optical Soliton Constrained Systems

JIANG Jin-Huan; LI Ai-Min; LI Zi-Ping

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> 2003, Vol. 27> Issue(6) : 489-492

Quantum Field Theory of Optical Soliton Constrained Systems

College of Applied Sciences, Beijing Polytechnic University, Beijing 100022,China

Abstract
HTML
Reference
Related

PDF

Abstract：
The system of a optical soliton can be described by a singular Lagrangian. To our knowledge, the commutation relations and quantum equations of motion are given by using corresponding principle, it's not satisfactory since the constraints are ignored. In this paper, the commutation relations and quantum equations of motion are derived based on the Dirac theory of constrained systems. The conserved energy, momentum and the number of particles for this system are discussed at the quantum level.

References

[1]

. Singer F,Potasek M J,Teich M C.Quantum Opt.,1992,4:1572. YANG B J,QIAO B Y.J.Beijing Univ.Posts and Telecommun.,1994,17:56(in Chinese)(杨伯军,乔本元.北京邮电大学学报,1994,17:56)3. Crosignani B,Porto P Di,Treppiedi A .Quantum Semiclass Opt.,1995,7:734. Drummond P D,Kheruntsyan K V,HE H J.Opt.B :Quantum Semiclass.Opt.,1999,1:387 5. Hasegawa A,Tappert F.Appl.Phys.Lett.,1973,23:1476. Mollenaur L F et al.Phys.Rev.Lett.,1980,45:10957. Senjanovic P.Ann.Phys.,1976,100:2278. LI Z P.High Energy Phys.and Nucl.Phys.,1997,21:34(in Chinese)(李子平.高能物理与核物理,1997,21:34)9. LI Z P.High Energy Phys.and Nucl.Phys.,1995,19:1012(in Chinese)(李子平.高能物理与核物理,1995,19:1012)10. CHEN L J,LIANG C H.Soliton Theory and its Applications,Xi'an,Xi'an Electronic Science and Technology University Press,1997(in Chinese)(陈陆君,梁昌洪.孤子理论及其应用,西安,西安电子科技大学出版社,1997) 11. LI Z P.Classical and Quantal Dynamics of Constrained Systems and Their Symmetry Properties.Beijing:Beijing Polytechnic University Press,1993(in Chinese)(李子平.经典和量子约束系统及其对称性质.北京:北京工业大学出版社,1993

[1]	LIAO Yi . Field Theory on Non-commutative Space-Time and Some Related Phenomenology. Chinese Physics C, 2007, 31(9): 860-863.
[2]	JIANG Yun-Guo , HUANG Yong-Chang . Faddeev-Senjanovic Quantization of the Supersymmetrical Electrodynamic System. Chinese Physics C, 2006, 30(12): 1151-1155.
[3]	SONG Yuan-Jun , WANG Shun-Jin , ZHANG Guang-Biao . Nonadiabatic Geometric Phase and Hannay's Angle of the Nonautonomous Landau System in a Rotating Magnetic Field. Chinese Physics C, 2005, 29(7): 639-643.
[4]	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.
[5]	LONG Zheng-Wen , LIU Bo , LI Zi-Ping . Canonical Quantization of the Complex Scalar Field Coupled to the Abel Chern-Simons Term. Chinese Physics C, 2003, 27(10): 866-869.
[6]	LIU Fang , LI Jun-Qing , XING Yong-Zhong . Quantum Classical Correspondence in a 2-Dimensional Deformed Harmonic Oscillator System. Chinese Physics C, 2002, 26(9): 949-954.
[7]	SONG Jian-Jun , LI Xi-Guo . Trace Formula and Periodic Orbits Quantization for Two-Dimensional Integrable System. Chinese Physics C, 2001, 25(10): 958-963.
[8]	LONG ZhengWen , Li ZiPing . Global Symmetry and Quantal Conservation Laws for a Gauge-Invariant System With a Higher-Order Lagrangian. Chinese Physics C, 2000, 24(2): 106-112.
[9]	SHAO ChangGui , XIAO JunHua , SHAO Liang , PAN GuiJun , CHEN ZhongQiu . Action of the Diffeomorphism Constraint in the Extended Loop Representation of Quantum Gravity. Chinese Physics C, 2000, 24(5): 390-399.
[10]	ZHANG PengFei , RUAN TuNan . Spin Operators in the Quantum Field Theory. Chinese Physics C, 2000, 24(8): 775-779.
[11]	YU Tao , Jiang Huanqing . η Photoproduction off the Deuteron. Chinese Physics C, 1998, 22(5): 452-459.
[12]	Jie Quanlin , Wang Shunjin , Wei Lianfu . Exact Solutions of Non-autonomous Quantum Systems With Semisimple Lie Algebraic Structure. Chinese Physics C, 1998, 22(2): 111-116.
[13]	Li Ziping . Canonical Quantal Symmetry in a Dynamical System. Chinese Physics C, 1995, 19(11): 1012-1018.
[14]	MIAO Yan-Gang . Extension of the Linear Self-Dual Constraint Theory and Its Quantization. Chinese Physics C, 1993, 17(7): 626-630.
[15]	PENG Hong-An . Investigations of Infrared Divergence in Quantum Field Theory from Unitarities and Analyticities. Chinese Physics C, 1992, 16(10): 891-899.
[16]	MA Bo-Qiang , SUN Ji . THE EMC EFFECT AND THE LIGHT-CONE QUANTUM FIELD THEORY. Chinese Physics C, 1990, 14(8): 684-691.
[17]	MA Qian-Cheng , RUAN Tu-Nan . PATH INTEGRAL OF A SYMMETRY SYSTEM WITH CONSTRAINTS. Chinese Physics C, 1985, 9(2): 168-173.
[18]	RUAN TU-NAN , HE ZUO-XIU , HUANG TAO . ON THE CONJUGATE FIELD QUANTITY AND THE DEFINITION OF THE RELATIVISTIC WAVE FUNCTION IN THE COMPOSITE FIELD THEORY. Chinese Physics C, 1979, 3(3): 272-276.
[19]	HSXJ KUNG-NGOU . MASTER EQUATION FOR QUANTUM SYSTEMS. Chinese Physics C, 1978, 2(4): 359-367.
[20]	CHANG CHAO-SHIE , HO TSU-HSIU . THE PERTURBATION EXPANSION OF THE QUANTIZED COMPOSITE FIELD THEORY AND GAUGE INVARIANCE. Chinese Physics C, 1978, 2(2): 119-130.

Access

Get Citation

JIANG Jin-Huan, LI Ai-Min and LI Zi-Ping. Quantum Field Theory of Optical Soliton Constrained Systems[J]. Chinese Physics C, 2003, 27(6): 489-492.

JIANG Jin-Huan, LI Ai-Min and LI Zi-Ping. Quantum Field Theory of Optical Soliton Constrained Systems[J]. Chinese Physics C, 2003, 27(6): 489-492. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2002-11-11
Revised: 1900-01-01

Article Metric

Article Views(3953)
PDF Downloads(469)
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

Quantum Field Theory of Optical Soliton Constrained Systems

Corresponding author: JIANG Jin-Huan,

College of Applied Sciences, Beijing Polytechnic University, Beijing 100022,China

Received Date: 2002-11-11
Accepted Date: 1900-01-01
Available Online: 2003-06-05

Abstract: The system of a optical soliton can be described by a singular Lagrangian. To our knowledge, the commutation relations and quantum equations of motion are given by using corresponding principle, it's not satisfactory since the constraints are ignored. In this paper, the commutation relations and quantum equations of motion are derived based on the Dirac theory of constrained systems. The conserved energy, momentum and the number of particles for this system are discussed at the quantum level.