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Families of bose rays in quantum optics

  • Part V. Invited Papers Commemorating The Centenary Of The Birth Of Erwin Schrödinger
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Abstract

Having known classical wave optics and wave mechanics, can we reverse Schrödinger's path and extend the concept of families of rays of light to provide a new exact rendering of quantum optics including the Bose nature of photons? This question is answered in the affirmative, and the implications of the Bose symmetry for certain nonlocal correlations of the many-ray distribution functions are worked out. The similarities and the differences between classical and quantum wave optics are brought out. The ray-ray Bose correlation is analyzed. The generating functional for the many-ray distribution functions is formulated; and the notion of paraxial illumination for quantum optics is made precise.

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References

  1. E. Schrödinger,Ann. Phys. 79, 361 (1926);79, 489 (1926);81, 100 (1926).

    Google Scholar 

  2. W. Hamilton,Philos. Trans.,247, 307 (1834); 95 (1835); E. T. Whittaker,Analytical Dynamics, 4th edn. (Cambridge University Press, London, 1944), Secs. 99, 109.

    Google Scholar 

  3. M. Born and E. Wolf,Principles of Optics (Pergamon Press, New York, 1959); M. Herzberger,Modern Geometrical Optics (Interscience, New York, 1958).

    Google Scholar 

  4. D. Gloge and D. Marcuse,J. Opt. Soc. Am. 59, 1929 (1969).

    Google Scholar 

  5. L. Mandel and E. Wolf,Rev. Mod. Phys. 37, 231 (1965).

    Google Scholar 

  6. E. C. G. Sudarshan,Phys. Lett. A 73, 269 (1979).

    Google Scholar 

  7. E. C. G. Sudarshan,Physica A 96, 31 (1979); R. Simon,Pramāna 20, 105 (1982).

    Google Scholar 

  8. E. C. G. Sudarshan, R. Simon, and N. Mukunda,Phys. Rev. A 28, 2921 (1983).

    Google Scholar 

  9. N. Mukunda, R. Simon, and E. C. G. Sudarshan,Phys. Rev. A 28, 2933 (1983).

    Google Scholar 

  10. R. Simon, E. C. G. Sudarshan, and N. Mukunda,Phys. Rev. A 29, 3273 (1984).

    Google Scholar 

  11. R. Simon, E. C. G. Sudarshan, and N. Mukunda,Phys. Rev. A 31, 2419 (1985); R. Simon,J. Opt. 14, 92 (1985).

    Google Scholar 

  12. N. Mukunda, R. Simon, and E. C. G. Sudarshan,J. Opt. Soc. Am. A 2, 416 (1985); R. Simon, E. C. G. Sudarshan, and N. Mukunda,J. Opt. Soc. Am. A 3, 536 (1986).

    Google Scholar 

  13. N. Mukunda, R. Simon, and E. C. G. Sudarshan,J. Opt. Soc. Am. A 2, 1291 (1985).

    Google Scholar 

  14. R. Simon, E. C. G. Sudarshan, and N. Mukunda,Appl. Opt. 26, 1589 (1987).

    Google Scholar 

  15. R. J. Glauber,Phys. Rev. Lett. 10, 84 (1963).

    Google Scholar 

  16. J. R. Klauder and E. C. G. Sudarshan,Fundamentals of Quantum Optics (Benjamin, New York, 1968).

    Google Scholar 

  17. E. P. Wigner,Phys. Rev. 40, 749 (1949); J. E. Moyal,Proc. Cambr. Philos. Soc. 45, 99 (1949); H. Weyl,Theory of Groups and Quantum Mechanics (Dover, New York, 1931).

    Google Scholar 

  18. E. C. G. Sudarshan,Phys. Rev. Lett. 10, 277 (1963);J. Math. Phys. Sci. 3, 121 (1969).

    Google Scholar 

  19. N. Mukunda,Pramāna 11, 1 (1978).

    Google Scholar 

  20. L. D. Landau and E. M. Lifshitz,Statistical Physics (Pergamon, London, 1958).

    Google Scholar 

  21. A. Einstein,Phys. Z. 10, 185 (1909);10, 817 (1909); E. M. Purcell,Nature (London) 178, 1449 (1956); L. Mandel,Proc. Phys. Soc. 72, 1037 (1958).

    Google Scholar 

  22. E. C. G. Sudarshan,J. Math. Phys. Sci. 3, 121 (1969).

    Google Scholar 

  23. E. C. G. Sudarshan,Phys. Rev. Lett. 10, 277 (1963).

    Google Scholar 

  24. A. Papoulis,J. Opt. Soc. Am. 64, 779 (1974).

    Google Scholar 

  25. N. Mukunda and E. C. G. Sudarshan,Pramāna 27, 1 (1986).

    Google Scholar 

  26. H. Bacry and M. Cadilhac,Phys. Rev. A 23, 2533 (1981); M. Nazarathy and J. Shamir,J. Opt. Soc. Am. 72, 356 (1982).

    Google Scholar 

  27. E. C. G. Sudarshan, N. Mukunda, and R. Simon,Opt. Acta 32, 855 (1985); R. Simon, E. C. G. Sudarshan, and N. Mukunda,Phys. Rev. A 31, 2419 (1985).

    Google Scholar 

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Mukunda, N., Sudarshan, E.C.G. & Simon, R. Families of bose rays in quantum optics. Found Phys 18, 277–306 (1988). https://doi.org/10.1007/BF01891493

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  • DOI: https://doi.org/10.1007/BF01891493

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