Quantum Field Theory of Optical Soliton Constrained Systems

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

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

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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

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. 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

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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

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

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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.