Canonical Quantization of Complex Scalarfield Theory with Boundaries

LONG Zheng-Wen; CHEN Lin

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> 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

Abstract
HTML
Reference
Related

PDF

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

[1]

. 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

[1]	CAO Li-Ke , KE San-Min , YANG Tao , YUE Rui-Hong . Exact Solution of a New Class of Hubbard-Type Models with Open Boundary Conditions. Chinese Physics C, 2007, 31(1): 30-33.
[2]	LIAO Ling , HUANG Yong-Chang . Faddeev-Jackiw Quantization of the Gauge Invariant Self-Dual Fields Relative to String Theory. Chinese Physics C, 2006, 30(3): 191-195.
[3]	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.
[4]	Shen Caiwan , Luo Wendong , Chen Yongshou . Criterion of Identical Bands and Quantization of Incremental Alignments in Superdeformed Nuclei. Chinese Physics C, 1999, 23(3): 281-288.
[5]	Jiang Jinhuan , Li Ziping . Quantization of a Scalar QED With Chern-Simons Term in the Batalin-Fradkin-Vilkovisky Scheme. Chinese Physics C, 1999, 23(8): 784-789.
[6]	Xi Xiaoqiang , Shi Kangjie , Hou Boyu , Fan Heng . Algebraic Bethe Ansatz for the Supersymmetric t-J Model With Reflecting Boundary Conditions in FBF Background. Chinese Physics C, 1999, 23(10): 961-979.
[7]	Zhao Liu . Oscillator Algebra With Reflecting Boundary and Generalized Statistics. Chinese Physics C, 1997, 21(1): 25-33.
[8]	Yue Ruihong , Liang Hong . Integrability and Boundary Conditions of Supersymmetric Systems. Chinese Physics C, 1996, 20(6): 514-521.
[9]	Guo Shuohong , Fang Xiyan . Quantization of Lattice Chern-Simons Theory. Chinese Physics C, 1994, 18(8): 706-714.
[10]	Wang Renchuan , Zhu Dongpei . On the Quantization of Interacting Fields in QED. Chinese Physics C, 1994, 18(11): 1012-1019.
[11]	Miao Yangang , Liu Yaoyang . Faddeev-Jackiw Quantitation of a Theory of Self-Dual Fields Interacting with Gauge Fields. Chinese Physics C, 1994, 18(1): 58-61.
[12]	YU Yue , GUO Han-Ying . ON GEOMETRIC QUANTIZATION FOR THE BOSONIC STRINGS(1). Chinese Physics C, 1989, 13(5): 419-428.
[13]	JING Si-Cong , RUAN Tu-Nan . ON THE QUANTIZATION OF PURE GAUGE FIELDS ON COSET SPACE OF ABELIAN CHIRAL GROUP. Chinese Physics C, 1988, 12(6): 773-781.
[14]	CHEN Ren . STOCHASTIC QUANTIZATION WITH SPIN 3/2 FIELD. Chinese Physics C, 1987, 11(2): 157-163.
[15]	ZHANG Yue-Zhong . ON THE BOUNDARY CONDITION AND CANONICAL S-WAVE HAMILTIONIAN FOR THE DYON-FERMION SYSTEM——THE SURFACE LAGRANGIAN AND GAUGE INVARIANT CHARGE CURRENT. Chinese Physics C, 1986, 10(1): 15-23.
[16]	Wu Jing-yuan . QUANTIZATION OF THE PHOTON FIELD AND DIPOLE GHOSTS. Chinese Physics C, 1980, 4(3): 291-301.
[17]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS(Ⅱ)——SPONTANEOUSLY BROKEN GAUGE FIELDS. Chinese Physics C, 1979, 3(1): 52-59.
[18]	YAN MU-LIN , BAO XI-MING , ZHAO BAO-HENG . CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD. Chinese Physics C, 1979, 3(5): 582-594.
[19]	GU CHAO-HAO . THE U₁ GAUGE FIELD IN A SU_N GAUGE FIELD AND THE QUANTIZED VALUES OF DUAL CHARGES. Chinese Physics C, 1978, 2(4): 295-304.
[20]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2006-03-16
Revised: 1900-01-01

Article Metric

Article Views(3264)
PDF Downloads(766)
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

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.