Chinese Physics C > 1986, Vol. 10 > Issue(1): 15-23

ON THE BOUNDARY CONDITION AND CANONICAL S-WAVE HAMILTIONIAN FOR THE DYON-FERMION SYSTEM——THE SURFACE LAGRANGIAN AND GAUGE INVARIANT CHARGE CURRENT

ZHANG Yue-Zhong^,

Sichuan University

Abstract
HTML
Reference
Related

PDF

Abstract：
By means of the surface Lagrangian and gauge invariant charge current, we make a detailed discussion to the physical meaning of each quantity in the boundary condition of the dyon-fermion dynamics; It is shown that adding the surface Lagrangian to the system is equivalent to selecting suitable boundary condition; By gauge trans-forming the Lagrangian by a charge generator, We get a corresponding U(1) charge current density which is both gauge invariant and spherosymmetrical. Ause of the canonical method and a careful treatment of surface terms show that the S-wave Hamiltonian given by Yamagishi requires amendment by a surface energy term.

References

[1]

J. L. Gervais, B. Sakita, and S. Wadia, Phys. Lett. 63B(1976), 55[2] 侯伯宇, 物理学报, 26(1977), 367.[3] B. Y. Hou, J. Math. Phys. 1(1982), 2325.[4] B. Y. Hou, Comm. In Theor. Phys., 1(1982), 333.[5] 侯伯宇, 侯伯元, 高能物理与核物理, 3(1979), 355,[6] 侯伯宇, 侯伯元, 王佩, 将在J. Phys. A上发表, [7] II. Yamagishi, Phys. Rev., D28 (1983), 977; CPT 1139, Submitted to Physical Review D.[8] C G. CalJan Jr. Phys. Rev. D26(1982), 2058; Phys. Rev. D25(1982), 2141.[9] R Jackiw and A N RedIich.,Phys. Rev. Lett.50(1983), 555.

[1]	LONG Zheng-Wen,CHEN Lin. Canonical Quantization of Complex Scalarfield Theory with Boundaries. Chinese Physics C, 2007, 31(1): 14-18.
[2]	HUANG Chun-Qing,LI Yong-Yao,LUO Xiang-Qian. An Approach to non-S States by Applying Effective Monte Carlo Hamiltonian. Chinese Physics C, 2005, 29(7): 717-720.
[3]	LI JieMing,JIANG JunQin. Calculation of the Glueball Mass for 2+1 Dimensional SU(2) Lattice Gauge Field Theory by Using the Improved Hamiltonian. Chinese Physics C, 2000, 24(12): 1094-1097.
[4]	XIAO Ming,WANG XueLei,WANG Qing. Derivation of Pseudoscalar Goldstone Boson Effective Lagrangian. Chinese Physics C, 2000, 24(5): 379-383.
[5]	HUANG ChunQing,JIANG JunQin,LUO XiangQian. Monte Carlo Effective Hamiltonian in 1+1 Dimensional Case'. Chinese Physics C, 2000, 24(6): 478-483.
[6]	JIANG JunQin,LI JieMing. Improved Scheme of the Lattice Hamiltonian in 1+1 Dimensional QCD. Chinese Physics C, 2000, 24(3): 208-212.
[7]	Jiang Junqin,Luo Xiangqian. Calculation of the Vector Meson Mass in 1+1 Dimensional Lattice QCD by Using the Improved Hamiltonian. Chinese Physics C, 1999, 23(7): 644-649.
[8]	Jiang Junqin,Luo Xiangqian,Guo Shuohong,Liu Jinming. Calculation of the Vacuum Wave Function in 2+1 Dimensional U(1) Gauge Theory by Using the Improved Lattice Hamiltonian. Chinese Physics C, 1999, 23(12): 1152-1157.
[9]	Wang Qing. Effective Lagrangian Theory. Chinese Physics C, 1999, 23(2): 155-164.
[10]	Chen Hong,Liu Bo. Hadronic Masses in Hot Matter in an Effective Chiral Lagrangian Approach. Chinese Physics C, 1998, 22(5): 466-474.
[11]	Jiang Junqin. The Calculation of the Fermion Condensates by Using the Improved Hamiltonian. Chinese Physics C, 1998, 22(10): 891-895.
[12]	Li Ziping. Global Symmetry in Phase-Space Path Integral for a System With a Singular Lagrangian. Chinese Physics C, 1997, 21(1): 34-43.
[13]	Hu Jimin,Xu Furong,Zheng Chunkai. Vibrational and Rotational Motions Model of Nucleus(Ⅰ) Cranking Bohr-Mottelson Hamiltonian and Analyses of the Rotational Bands of Even-Even Nuclei. Chinese Physics C, 1996, 20(1): 76-84.
[14]	Wang Qun,Xie Qubing. Effective Hamiltonian for Process e⁺e^－→m(qq)+ng. Chinese Physics C, 1995, 19(9): 791-795.
[15]	Li Ziping. Canonical Symmetry in a System with Singular Lagrangian and Ward Identities. Chinese Physics C, 1994, 18(8): 694-701.
[16]	DI Yao-Min,HA Yi-Ming,FU De-Ji. The Effective Hamiltonian With Continuous Variables Representation in IBM-Ⅱ. Chinese Physics C, 1992, 16(9): 849-856.
[17]	CHEN Wei. DERIVATION OF CHIRAL GAUGE ANOMALIES IN CANONICAL FORMALISM. Chinese Physics C, 1988, 12(6): 857-860.
[18]	CHENG Tan-Sheng,WU Chong-Shi,ZENG Jin-Yan. PARTICLE-NUMBER-CONSERVING APPROACH FOR TREATING CRANKING HAMILTONIAN. Chinese Physics C, 1988, 12(4): 534-540.
[19]	MA Zhong-Qi,DAI An-Ying. ON THE HERMITIAN OF THE HAMILTONIAN OF RADIAL EQUATION. Chinese Physics C, 1988, 12(1): 42-49.
[20]	ZHOU Guang-Zhao,GUO Han-Ying,WU Ke,SONG Xing-Chang. SYMMETRICAL ANOMALY, UNSYMMETRICAL ANOMALY AND EFFECTIVE LAGRANGIAN. Chinese Physics C, 1984, 8(4): 508-512.

Access

Get Citation

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[J]. Chinese Physics C, 1986, 10(1): 15-23.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3471)
PDF Downloads(450)
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

ON THE BOUNDARY CONDITION AND CANONICAL S-WAVE HAMILTIONIAN FOR THE DYON-FERMION SYSTEM——THE SURFACE LAGRANGIAN AND GAUGE INVARIANT CHARGE CURRENT

ZHANG Yue-Zhong^,

Corresponding author:ZHANG Yue-Zhong,

Sichuan University

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1986-02-05

Abstract:By means of the surface Lagrangian and gauge invariant charge current, we make a detailed discussion to the physical meaning of each quantity in the boundary condition of the dyon-fermion dynamics; It is shown that adding the surface Lagrangian to the system is equivalent to selecting suitable boundary condition; By gauge trans-forming the Lagrangian by a charge generator, We get a correspondingU(1) charge current density which is both gauge invariant and spherosymmetrical. Ause of the canonical method and a careful treatment of surface terms show that the S-wave Hamiltonian given by Yamagishi requires amendment by a surface energy term.