光子的旋量波动方程
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摘要
给出自由和非自由光子的旋量波动方程及光子自旋算符与自旋波函数.通过计算光子的螺旋度,证明存在左旋和右旋光子.由单光子自旋波函数得到两光子或多光子的自旋波函数,并给出多光子的自旋纠缠态.
We proposed the spiron wave equation of free and non-free photons,and gave the spin operator and spin wave functions of photon.By calculating the helicity of photon,we proved that there were left-handed and right-handed photon.With the spin wave functions of single photon,we obtained the spin wave functions of two photons or multiple-photons,and gave spin entanglement state of multiple-photons.
We proposed the spiron wave equation of free and non-free photons,and gave the spin operator and spin wave functions of photon.By calculating the helicity of photon,we proved that there were left-handed and right-handed photon.With the spin wave functions of single photon,we obtained the spin wave functions of two photons or multiple-photons,and gave spin entanglement state of multiple-photons.
引文
[1]Landau L,Peierls R.Quantenelektrodynamik im Konfigurationsraum[J].Zeitschrift für Physik,1930,62(3/4):188-200.
[2]Cameron R P,Barnett S M.Electric-Magnetic Symmetry and Noether’s Theorem[J].New J Phys,2012,14(12):123019.
[3]Fernandezcorbaton I,Zambranapuyalto X,Tischler N,et al.Electromagnetic Duality Symmetry and Helicity Conservation for the Macroscopic Maxwell’s Equations[J].Phys Rev Lett,2013,111(6):060401.
[4]Dressel J,Bliokh K Y,Nori F.Spacetime Algebra as a Powerful Tool for Electromagnetism[J].Phys Rep,2015,589:1-71.
[5]Keller O.On the Theory of Spatial Localization of Photons[J].Phy Rep,2005,411(1/2/3):1-232.
[6]Ludwig S.Elektromagnetische Grundgleichungen in Bivektorieller Behandlung[J].Annalen der Physik,2010,327(3):579-586.
[7]Englmana R,Yahalomb A.Cortical Dynamics and Awareness State:An Interpretation of Observed Interstimulus Interval Dependence in Apparent Motion[J].Physica A,1998,260(3/4):555-559.
[8]Oskar K,Von.Quantentheorie und Fünfdimensionale Relativittstheorie[J].Zeitschrift für Physik,1926,37(12):895-906.
[9]Gregor W.Zur Theorie des Comptoneffekts[J].Zeitschrift für Physik,1927,43(1/2):1-8.
[10]Proca Al.Sur la Théorie Ondulatoire deslectrons Positifs et Négatifs[J].J Phys Radium,1936,7(8):347-353.
[11]Bargmann V,Wigner E P.Group Theoretical Discussion of Relativistic Wave Equations[J].Pro Nat Acad Sci,1948,34(5):211-223.
[12]Finkelstein R,Fronsdal C,Kaus P.Nonlinear Spinor Field[J].Phys Rev,1956,103(5):1571-1579.
[13]Cameron R P,Barnett S M,Yao A M.Optical Helicity,Optical Spin and Related Quantities in Electromagnetic Theory[J].New J Phys,2012,14(5):053050.
[14]Bliokh K Y,Dressel J,Nori F.Conservation of the Spin and Orbital Angular Momenta in Electromagnetism[J].New J Phys,2014,16(9):093037.
[15]刘晓静,孟祥东,梁禺,等.一维变频光子晶体的透射特性[J].吉林大学学报(理学版),2017,55(3):684-689.(LIU Xiaojing,MENG Xiangdong,LIANG Yu,et al.Transmission Properties of One-Dimensional Variable Frequency Photonic Crystals[J].Journal of Jilin University(Science Edition),2017,55(3):684-689.)
[16]刘晓静,梁禺,刘继平,等.新型二维函数光子晶体的透射特性[J],吉林大学学报(理学版),2017,55(4):985-989.(LIU Xiaojing,LIANG Yu,LIU Jiping,et al.Transmission Properties of New Type of TwoDimensional Function Photonic Crystal[J].Journal of Jilin University(Science Edition),2017,55(4):985-989.)
[2]Cameron R P,Barnett S M.Electric-Magnetic Symmetry and Noether’s Theorem[J].New J Phys,2012,14(12):123019.
[3]Fernandezcorbaton I,Zambranapuyalto X,Tischler N,et al.Electromagnetic Duality Symmetry and Helicity Conservation for the Macroscopic Maxwell’s Equations[J].Phys Rev Lett,2013,111(6):060401.
[4]Dressel J,Bliokh K Y,Nori F.Spacetime Algebra as a Powerful Tool for Electromagnetism[J].Phys Rep,2015,589:1-71.
[5]Keller O.On the Theory of Spatial Localization of Photons[J].Phy Rep,2005,411(1/2/3):1-232.
[6]Ludwig S.Elektromagnetische Grundgleichungen in Bivektorieller Behandlung[J].Annalen der Physik,2010,327(3):579-586.
[7]Englmana R,Yahalomb A.Cortical Dynamics and Awareness State:An Interpretation of Observed Interstimulus Interval Dependence in Apparent Motion[J].Physica A,1998,260(3/4):555-559.
[8]Oskar K,Von.Quantentheorie und Fünfdimensionale Relativittstheorie[J].Zeitschrift für Physik,1926,37(12):895-906.
[9]Gregor W.Zur Theorie des Comptoneffekts[J].Zeitschrift für Physik,1927,43(1/2):1-8.
[10]Proca Al.Sur la Théorie Ondulatoire deslectrons Positifs et Négatifs[J].J Phys Radium,1936,7(8):347-353.
[11]Bargmann V,Wigner E P.Group Theoretical Discussion of Relativistic Wave Equations[J].Pro Nat Acad Sci,1948,34(5):211-223.
[12]Finkelstein R,Fronsdal C,Kaus P.Nonlinear Spinor Field[J].Phys Rev,1956,103(5):1571-1579.
[13]Cameron R P,Barnett S M,Yao A M.Optical Helicity,Optical Spin and Related Quantities in Electromagnetic Theory[J].New J Phys,2012,14(5):053050.
[14]Bliokh K Y,Dressel J,Nori F.Conservation of the Spin and Orbital Angular Momenta in Electromagnetism[J].New J Phys,2014,16(9):093037.
[15]刘晓静,孟祥东,梁禺,等.一维变频光子晶体的透射特性[J].吉林大学学报(理学版),2017,55(3):684-689.(LIU Xiaojing,MENG Xiangdong,LIANG Yu,et al.Transmission Properties of One-Dimensional Variable Frequency Photonic Crystals[J].Journal of Jilin University(Science Edition),2017,55(3):684-689.)
[16]刘晓静,梁禺,刘继平,等.新型二维函数光子晶体的透射特性[J],吉林大学学报(理学版),2017,55(4):985-989.(LIU Xiaojing,LIANG Yu,LIU Jiping,et al.Transmission Properties of New Type of TwoDimensional Function Photonic Crystal[J].Journal of Jilin University(Science Edition),2017,55(4):985-989.)