Why photons cannot be sharply localized

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 3, 2009, Pages

  Bialynicki Birula, Iwo ^a   Bialynicka Birula, Zofia ^b  

^a CENTER FOR THEORETICAL PHYSICS   (Poland)

^b INSTITUTE OF PHYSICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL COUNTERPARTS; COHERENT STATE; ENERGY DENSITIES; EXPECTATION VALUES; EXPONENTIAL TAILS; MODE DECOMPOSITIONS; PHOTON CREATIONS; PHOTON-NUMBER DENSITIES; TIME EVOLUTIONS;

PHOTONS;

EID: 63849312603     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.032112     Document Type: Article

References (27)

1. L. D. Landau and R. Peierls, Z. Phys. 62, 188 (1930). 10.1007/BF01339793
2. O. Keller, Phys. Rep. 411, 1 (2005). 10.1016/j.physrep.2005.01.002
3. T. D. Newton and E. P. Wigner, Rev. Mod. Phys. 21, 400 (1949). 10.1103/RevModPhys.21.400
4. J. M. Jauch and C. Piron, Helv. Phys. Acta 40, 559 (1967).
5. W. O. Amrein, Helv. Phys. Acta 42, 149 (1969).
6. R. J. Glauber, Phys. Rev. 130, 2529 (1963). 10.1103/PhysRev.130.2529
7. R. J. Glauber, Phys. Rev. 131, 2766 (1963). 10.1103/PhysRev.131.2766
8. R. J. Glauber, in Quantum Optics and Electronics, Les Houches 1964, edited by, C. deWitt, A. Blandin, and, C. Cohen-Tannouji, (Gordon and Breach, New York, 1965).
9. U. M. Titulaer and R. J. Glauber, Phys. Rev. 145, 1041 (1966). 10.1103/PhysRev.145.1041
10. B. J. Smith and M. G. Raymer, New J. Phys. 9, 414 (2007). 10.1088/1367-2630/9/11/414
11. N. Bohr and L. Rosenfeld, in Quantum Theory and Measurement, edited by, J. A. Wheeler, and, W. H. Zurek, (University Press, Princeton, 1983).
12. N. Bohr and L. Rosenfeld, Phys. Rev. 78, 794 (1950). 10.1103/PhysRev.78. 794
13. L. Silberstein, Ann. Phys. 327, 579 (1907) 10.1002/andp.19073270313
14. L. Silberstein, Ann. Phys. 329, 783 (1907). In the second paper Silberstein wrote that he was told that the complex form of the Maxwell field vectors had been known before. He referred there to the second volume of the lecture notes on the differential equations of mathematical physics by Riemann that were edited and published by Weber in 1901. 10.1002/andp.19073291409
15. I. Bialynicki-Birula, Acta Phys. Pol. A 86, 97 (1994).
16. I. Bialynicki-Birula, Progress in Optics, edited by, E. Wolf, (Elsevier, Amsterdam, 1996), Vol. 36. This paper reviews the history of the RS vector.
17. I. Bialynicki-Birula, e-print arXiv:quant-ph/0508202.
18. I. Bialynicki-Birula and Z. Bialynicka-Birula, Quantum Electrodynamics (Pergamon, Oxford, 1975), p. 130.
19. I. Bialynicki-Birula and Z. Bialynicka-Birula, Opt. Commun. 264, 342 (2006). 10.1016/j.optcom.2005.11.071
20. P. Jordan and W. Pauli, Z. Phys. 47, 151 (1928). 10.1007/BF02055793
21. W. Heisenberg and W. Pauli, Z. Phys. 56, 1 (1929). 10.1007/BF01340129
22. Ya. B. Zeldovich, Dokl. Akad. Nauk SSSR 163, 1359 (1965), in Russian.
23. R. J. Cook, Phys. Rev. A 25, 2164 (1982). 10.1103/PhysRevA.25.2164
24. The denumerable dual bases introduced in can be obtained by integrations with the sets of wavepackets.
25. I. Bialynicki-Birula, Phys. Rev. Lett. 80, 5247 (1998). 10.1103/PhysRevLett.80.5247
26. B. Ya. Levin, Lectures on Entire Functions (American Mathematical Society, Providence, 1976), p. 69.
27. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products (Academic, New York, 2000).