Photon's Structure of Motion

• Authors: N. Delić , B. Tošić , J. Šetrajčić , B. Markoski , S. Pelemiš , V. Sajfert , V. Zorić
• Languages of publication: EN

Abstracts

EN

A free photon Hamiltonian is linearized using Pauli's matrices. Based on the correspondence of Pauli's matrices kinematics and the kinematics of spin operators, it has been proved that a free photon integral of motion is a sum of orbital momentum and spin momentum for a half-one spin. Linearized Hamiltonian represents a bilinear form of products of spin and momentum operators. Unitary transformation of this form results in an equivalent Hamiltonian, which has been analyzed by the method of Green's functions. The evaluated Green function has given possibility for interpretation of photon reflection as a transformation of photon to antiphoton with energy change equal to double energy of photon and for spin change equal to Dirac's constant. Since photon is relativistic quantum object the exact determining of its characteristics is impossible. It is the reason for series of experimental works in which photon orbital momentum, which is not integral of motion, was investigated. The exposed theory was compared to the mentioned experiments and in some elements the satisfactory agreement was found.

Keywords

EN

14.70.Bh; 33.60.+q; 42.50.Ar; 42.50.Dr

Discipline

• 33.60.+q: Photoelectron spectra(for biophysical applications, see 87.64.ks)
• 42.50.Ar: Photon statistics and coherence theory
• 14.70.Bh: Photons

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 116
• Issue: 4
• Pages: 471-475

Dates

published

2009-10

Contributors

author

N. Delić

• Department of Physics, Faculty of Sciences, University of Novi Sad, Novi Sad, Vojvodina, Serbia

author

B. Tošić

• Vojvodina Academy of Sciences and Arts, Novi Sad, Vojvodina, Serbia

author

J. Šetrajčić

• Department of Physics, Faculty of Sciences, University of Novi Sad, Novi Sad, Vojvodina, Serbia
• Academy of Sciences and Arts in Banja Luka, Banja Luka, Republic of Srpska, BiH

author

B. Markoski

• Technical Faculty in Zrenjanin, University of Novi Sad, Novi Sad, Vojvodina, Serbia

author

S. Pelemiš

• Department of Physics, Faculty of Sciences, University of Novi Sad, Novi Sad, Vojvodina, Serbia

author

V. Sajfert

• Technical Faculty in Zrenjanin, University of Novi Sad, Novi Sad, Vojvodina, Serbia

author

V. Zorić

• Department of Physics, Faculty of Sciences, University of Novi Sad, Novi Sad, Vojvodina, Serbia

References

• 1. A. Messiah, Quantum Mechanics, North-Holland, Amsterdam 1970
• 2. P.A.M. Dirac, Principles of Quantum Mechanics, 4 ed., Univ. Press, Oxford 1958
• 3. M. Sapaznjikov, Anti-World - a Reality, Znanie, Moscow 1983 (in Russian), p. 33, 34
• 4. A.S. Davydov, Quantum Mechanics, Pergamon, London 1976
• 5. V.B. Berestetskii, E.M. Lipshitz, L.P. Pitaevskii, Quantum Electrodynamics, Pergamon, Oxford/New York 1982
• 6. V.M. Agranovich, Theory of Excitons, Nauka, Moscow 1968 (in Russian)
• 7. S.V. Tyablikov, Methods in the Quantum Theory in Magnetism, Plenum, New York (1967)
• 8. B.S. Tošić, Statistical Physics, Faculty of Sciences, Novi Sad 1976 (in Serbian)
• 9. G. Rickayzen, Green's Functions and Condensed Matter, Academic Press, London 1980
• 10. G. Mahan, Many Particle Physics, Plenum Press, New York 1990
• 11. R.A. Beth, Phys. Rev. 50, 115 (1936)
• 12. J. Leach, M.J. Padgett, S.M. Barnett, S. Franke-Amold, J. Courtial, Phys. Rev. Lett. 25, 257901 (2002)
• 13. L. Allen, M.W. Beijersbergen, R.J.C. Spreeuw, J.P. Woerdman, Phys. Rev. A 45, 8185 (1992)
• 14. P.J. Allen, Am. J. Phys. 74, 1185 (1966)
• 15. H. He, M.E.J. Friese, N.R. Heckenberg, H. Rubinsztein-Dunlop, Phys. Rev. Lett. 75, 826 (1995)
• 16. M.E.J. Friese, J. Enger, H. Rubinsztein-Dunlop, N.R. Heckenberg, Phys. Rev. A 54, 1593 (1996)
• 17. S.J.van Enk, G. Nienhuis, Opt. Commun. 94, 147 (1992)
• 18. E. Santamato, B. Daino, M. Romagnoli, M. Settembre, Y.R. Shen, Mol. Cryst. Liq. Cryst. 143, 89 (1987)
• 19. A.T. O'Neil, I. Mac Vicar, L. Allen, M.J. Padgett, Phys. Rev. Lett. 88, 053601 (2002)
• 20. K. Volke-Sepulveda, V. Garcés-Chávez, S. Chávez-Cerda, J. Arlt, K. Dholakia, J. Opt. B 4, S82 (2002)

Identifiers

DOI

10.12693/APhysPolA.116.471