Canonical Quantization of Complex Scalarfield Theory with Boundaries

LONG Zheng-Wen; CHEN Lin

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2024年10月30日

Chinese Physics C> 2007, Vol. 31> Issue(1) : 14-18

Canonical Quantization of Complex Scalarfield Theory with Boundaries

LONG Zheng-Wen ^, ,
CHEN Lin

Laboratory for Photoelectric Technology and Application Department of Physics,Guizhou University, Guiyang 550025, China

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Abstract：
Canonical quantizaion of the complex scalar field theory with boundaries is studied. Contrary to the previous discussions where the boundary conditions are taken as primary Dirac constraints, we shall study this problem in the classical solution space. Fadeev-Jackiw method is applied to get the commutation relations among the Fourier modes. Ambiguities in the Dirac method are avoided by using our approach.

References

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. Sheikh-Jabbari M M, Shirzad A. Eur. Phys. J., 2001, C19:3832. CHU C S, Ho P M. Nucl. Phys., 1999, B550: 1513. CHU C S, Ho P M. Nucl. Phys., 2000, B568: 4474. Ardalan F, Arfaei H, Sheikh-Jabbari M M. Nucl. Phys.,2000, B576: 5785. LONG Z W, JING J. Phys. Lett., 2003, B560: 128; JINGJ, LONG Z W. Phys. Rev., 2005, D72: 1260026. Dirac P A M. Lecture Notes on Quantum Mechanics. New York: Yeshiva University, 19647. LONG Z W, LIU B. Europhys. Lett., 2002. 58: 1; LONG Zheng-Wen, LIU Bo, LI Zi-Ping. HEP NP, 2003, 27(10):866(in Chinese); LONG Zheng-Wen, LI Zi-Ping. HEP NP, 2004, 28(2): 134(in Chinese)(隆正文, 刘波, 李子平. 高能物理与核物理, 2003, 27(10): 866;隆正文, 李子平. 高能物理与核物理, 2004, 28(2): 134)8. JING Jian. Eur. Phys. J., 2005, C39: 1239. JING Jian. Phys. Rev., 2005, D71: 02502310. Loran F. Phys. Lett., 2002, B544: 19911. Fadeev L D, Jackiw R. Phys. Rev. Lett., 1988, 60: 1691

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LONG Zheng-Wen and CHEN Lin. Canonical Quantization of Complex Scalarfield Theory with Boundaries[J]. Chinese Physics C, 2007, 31(1): 14-18.

LONG Zheng-Wen and CHEN Lin. Canonical Quantization of Complex Scalarfield Theory with Boundaries[J]. Chinese Physics C, 2007, 31(1): 14-18. shu

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Received: 2006-03-16
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

Canonical Quantization of Complex Scalarfield Theory with Boundaries

LONG Zheng-Wen ^,
CHEN Lin

Corresponding author: LONG Zheng-Wen,

Laboratory for Photoelectric Technology and Application Department of Physics,Guizhou University, Guiyang 550025, China

Received Date: 2006-03-16
Accepted Date: 1900-01-01
Available Online: 2007-01-05

Abstract: Canonical quantizaion of the complex scalar field theory with boundaries is studied. Contrary to the previous discussions where the boundary conditions are taken as primary Dirac constraints, we shall study this problem in the classical solution space. Fadeev-Jackiw method is applied to get the commutation relations among the Fourier modes. Ambiguities in the Dirac method are avoided by using our approach.