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Zhou, BH; Huang, YC; Zhou, BH (reprint author), Beijing Univ Technol, Inst Theoret Phys, Beijing 100124, Peoples R China.
Gauge-invariant dynamical quantities of QED with decomposed gauge potentials
Source PublicationPHYSICAL REVIEW A
Language英语
KeywordSpin
AbstractWe discover an inner structure of the QED system; i.e., by decomposing the gauge potential into two orthogonal components, we obtain a new expansion of the Lagrangian for the electron-photon system, from which, we realize the orthogonal decomposition of the canonical momentum conjugate to the gauge potential with the canonical momentum's two components conjugate to the gauge potential's two components, respectively. Using the new expansion of Lagrangian and by the general method of field theory, we naturally derive the gauge invariant separation of the angular momentum of the electron-photon system from Noether theorem, which is the rational one and has the simplest form in mathematics, compared with the other four versions of the angular momentum separation available in literature. We show that it is only the longitudinal component of the gauge potential that is contained in the orbital angular momentum of the electron, as Chen et al. have said. A similar gauge invariant separation of the momentum is given. The decomposed canonical Hamiltonian is derived, from which we construct the gauge invariant energy operator of the electron moving in the external field generated by a proton [Phys. Rev. A 82, 012107 (2010)], where we show that the form of the kinetic energy containing the longitudinal part of the gauge potential is due to the intrinsic requirement of the gauge invariance. Our method provides a new perspective to look on the nucleon spin crisis and indicates that this problem can be solved strictly and systematically.
2011
ISSN1050-2947
Volume84Issue:3Pages:32505
Subject AreaPhysics
Indexed BySCI
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Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/14273
Collection理论物理所科研产出_SCI论文
Corresponding AuthorZhou, BH (reprint author), Beijing Univ Technol, Inst Theoret Phys, Beijing 100124, Peoples R China.
Recommended Citation
GB/T 7714
Zhou, BH,Huang, YC,Zhou, BH . Gauge-invariant dynamical quantities of QED with decomposed gauge potentials[J]. PHYSICAL REVIEW A,2011,84(3):32505.
APA Zhou, BH,Huang, YC,&Zhou, BH .(2011).Gauge-invariant dynamical quantities of QED with decomposed gauge potentials.PHYSICAL REVIEW A,84(3),32505.
MLA Zhou, BH,et al."Gauge-invariant dynamical quantities of QED with decomposed gauge potentials".PHYSICAL REVIEW A 84.3(2011):32505.
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