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The origin of the Kerr type nonlinearity of the medium as a result of the interaction between photons via the Dirac delta-potential is presented in the formalism adopted from the photon wave function approach. In the view of the result the optical soliton may be treated as a bound state (cluster) of many photons.
Institute of Physics, Technical University of Szczecin, Al. Piastów 48, 70-310 Szczecin, Poland
References
1. I. Białynicki-Birula, Acta Phys. Pol. A, 86, 97, 1994; e-print http://www.cft.edu.pl/~birula/publ.html
2. I. Białynicki-Birula, in: Coherence and Quantum Optics VII, Eds. J.H. Eberly, L. Mandel, E. Wolf, Plenum, New York 1996, p. 313; e-print http://www.cft.edu.pl/~birula/publ.html
3. I. Białynicki-Birula, in: Progress in Optics, Vol. 36, Ed. E. Wolf, Elsevier, Amsterdam 1996, p. 245; e-print http://www.cft.edu.pl/~birula/publ.html
4. J.E. Sipe, Phys. Rev. A, 52, 1875, 1995
5. D.I. Blochincev, Foundations of Quantum Mechanics, Nauka, Moskva 1983 (in Russian)