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

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《中国物理C》（英文）编辑部

2024年10月30日

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

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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

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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.

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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.

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Received: 1900-01-01
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

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 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.