Solution of the Holstein equation of radiation trapping in one-dimensional geometries by the geometric quantization technique

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 57, Issue 4, 1998, Pages 2612-2624

  Bezuglov, N N ^a   Molisch, A F ^b   Klucharev, A N ^a   Fuso, F ^c   Allegrini, M ^c,d  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^c UNIVERSITY OF PISA   (Italy)

^d UNIVERSITY OF MESSINA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001207798     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.57.2612     Document Type: Article

References (39)

1. A. G. Mitchell and M. W. Zemanski, Resonance Radiation and Excited Atoms (Cambridge University Press, Cambridge, 1961).
2. A. Corney, Atomic and Laser Spectroscopy (Oxford University Press, Oxford, 1977).
3. L. M. Biberman, V. S. Vorobjev, and I. T. Yakubov, Kinetics of Nonequilibrium Low-Temperature Plasma (Plenum, New York, 1987).
4. T. Holstein, Phys. Rev. 72, 1212 (1947); PHRVAO
5. Phys. Rev.T. Holstein 83, 1159 (1951).
6. P. J. Walsh, Phys. Rev. 116, 511 (1959).PHRVAO
7. C. van Trigt, Phys. Rev. 181, 97 (1969); PHRVAO
8. C. van TrigtPhys. Rev. A 1, 1298 (1970);
9. Phys. Rev. AC. van Trigt 4, 1303 (1971);
10. Phys. Rev. AC. van Trigt 13, 726 (1976).
11. P. Wiorkowski, and W. Hartman, Opt. Commun. 53, 245 (1985).OPCOB8
12. X. Ma, and R. Lai, Phys. Rev. A 49, 787 (1994).PLRAAN
13. A. F. Molisch, B. P. Oehry, and G. Magerl, J. Quant. Spectrosc. Radiat. Transf. 48, 377 (1992).JQSRAE
14. A. F. Molisch, B. P. Oehry, W. Schupita, and G. Magerl, J. Quant. Spectrosc. Radiat. Transf. 49, 361 (1993).JQSRAE
15. G. J. Parker, W. N. G. Hitchon, and J. E. Lawler, J. Phys. B 26, 4643 (1993).JPAPEH
16. L. M. Biberman, Zh. Éksp. Teor. Fiz. 17, 416 (1947).ZETFA7
17. A. V. Phelps, Phys. Rev. 110, 1362 (1958).PHRVAO
18. T. Stacewicz, T. Kotowsky, P. Wievior, and J. Chorazy, Opt. Commun. 100, 99 (1993).OPCOB8
19. V. V. Ivanov, Transfer of Radiation in Spectral Lines, NBS Special Publication No. 385 (U.S. GPO, Washington, D.C., 1973).
20. C. Cannon, The Transfer of Spectral Line Radiation (Cambridge University Press, Cambridge, 1984).
21. A. F. Molisch and B. P. Oehry, Radiation Trapping in Atomic Vapors (Oxford University Press, Oxford, to appear spring 1998).
22. R. I. Asadullina, N. N. Bezuglov, and E. N. Borisov, Opt. Spektrosk. 67, 209 (1989) [Opt. Spectrosc. 67, 360 (1989)].OPSUA3
23. J. B. Keller, Symp. Appl. Math. VIII, 27 (1958).ZZZZZZ
24. V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer, Berlin, 1978).
25. R. Feynman and P. Hibbs, Quantum Mechanics and Path Integrals (McGraw Hill, New York, 1965).
26. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon Press, New York, 1977).
27. L. de Broglie, Thèses, Musson et Co., Paris, 1924 (unpublished).
28. B. Noble, Methods Based on the Wiener-Hopf Technique (Pergamon Press, New York, 1958).
29. I. S. Gradstein, and I. M. Ryzhik, Tables of Series, Products and Integrals (Academic, New York, 1994).
30. I. C. Percival, Adv. Chem. Phys. 36, 1 (1977).ADCPAA
31. N. N. Bezuglov, A. N. Klucharev, and T. Stacewicz, Opt. Spectrosc. 77, 304 (1994) [Opt. Spektrosk. 77, 342 (1994)].OPSUA3
32. L. S. Schulman, Techniques and Applications of Path Integrals (Wiley, New York, 1981).
33. N. N. Bezuglov and B. V. Taratin, Opt. Spektrosk. (to be published).
34. M. Migdal, Qualitative Methods in Quantum Theory (Benjamin, New York, 1977).
35. L. D. Landau and E. M. Lifshitz, Classical Theory of Fields (Pergamon Press, New York, 1971).
36. V. P. Maslov and M. V. Fedoriuk, Semiclassical Approximation in Quantum Mechanics (Reidel, Dordrecht, 1981).
37. A. I. Baz, and A. M. Perelomov, Ya. B. Zeldovich, Scattering, Reactions and Decays in Nonrelativistic Quantum Mechanics (Wiley, New York, 1954);
38. A. I. Baz, Yad. Fiz. 5, 229 (1967).IDFZA7
39. N. N. Bezuglov, A. N. Klucharev, A. F. Molisch, M. Allegrini, F. Fuso, and T. Stacewicz, Phys. Rev. E 55, 3333 (1997). PLEEE8