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Semiclassical description of resonances

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Resonances The Unifying Route Towards the Formulation of Dynamical Processes Foundations and Applications in Nuclear, Atomic and Molecular Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 325))

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Abstract

The semiclassical quantization of complex energy resonance poles of the S-matrix is reviewed. The method leads to closed form results, which are valid also for broad shape resonances in the vicinity or above potential barriers. The theory is extended to various Feshbach-type resonances in curve crossing systems. The results are in very good agreement wiht exact quantum computations when available.

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References

  1. H. J. Korsch, H. Laurent and R. Möhlenkamp, Mol. Phys., 43, 1441 (1981).

    Google Scholar 

  2. H. J. Korsch, H. Laurent and R. Möhlenkamp, J. Phys. B, 15, 1 (1982).

    Google Scholar 

  3. H. J. Korsch, H. Laurent and R. Möhlenkamp, Phys. Rev., 26A, 1802 (1982).

    Google Scholar 

  4. H. J. Korsch and R. Möhlenkamp, J. Phys. B, 15, L559 (1982).

    Google Scholar 

  5. J. N. L. Connor and A. D. Smith, Chem. Phys. Lett., 88, 559 (1982).

    Google Scholar 

  6. J. N. L. Connor and A. D. Smith, J. Chem. Phys., 78, 6162 (1983).

    Google Scholar 

  7. H. J. Korsch and R. Möhlenkamp, Z. Phys. A, 314, 267 (1983).

    Google Scholar 

  8. H. J. Korsch, Resonances — Models and Phenomena, S. Albererio et al. Eds., Lecture Notes in Phys., 211, Springer-Verlag, Berlin (1984) p. 217–234.

    Google Scholar 

  9. R. Lefebvre, Can. J. Chem., 63, 1635 (1985).

    Google Scholar 

  10. H. J. Korsch and K-E. Thylwe, J. Phys. B, 19, 2139 (1986).

    Google Scholar 

  11. H. J. Korsch, R. Möhlenkamp and K-E. Thylwe, J. Phys. B, 19, 2151 (1986).

    Google Scholar 

  12. R. Möhlenkamp and H. J. Korsch, Phys. Rev., 34A, 4716 (1986).

    Google Scholar 

  13. A. F. Siegert, Phys. Rev., 56, 750 (1939).

    Article  Google Scholar 

  14. M. V. Berry and K. E. Mount, Rept. Progr. Phys., 35, 315 (1972).

    Google Scholar 

  15. W. M. Miller, Adv. Chem. Phys., 25, 65 (1974); Adv. Chem. Phys., 30, 77 (1975).

    Google Scholar 

  16. M. S. Child, Dynamics of Molecular Collisions, Part B, W. M. Miller, Ed., Plenum, NY (1976) p. 171–216.

    Google Scholar 

  17. M. S. Child, J. Mol. Spectr., 53, 280 (1974).

    Google Scholar 

  18. M. S. Child, Semiclassical Methods in Molecular Scattering and Spectroscopy, M. S. Child, Ed., Reidel, Dordrecht (1980) p. 127–154.

    Google Scholar 

  19. G. G. Stokes, Trans. Camb. Phil. Soc., 10, 106 (1857).

    Google Scholar 

  20. J. Knoll and R. Schaeffer, Ann. Phys. NY, 97, 307 (1976).

    Google Scholar 

  21. J. N. L. Connor, Semiclassical Methods in Molecular Scattering and Spectroscopy, M. S. Child, Ed., Reidel, Dordrecht (1980) p. 45–107.

    Google Scholar 

  22. J. N. L. Connor, Mol. Phys., 15, 621 (1968); Mol. Phys., 23, 717 (1973); Mol. Phys., 25, 1469 (1973).

    Google Scholar 

  23. M. S. Child, J. Mol. Spect., 53, 280 (1974).

    Google Scholar 

  24. D. S. F. Crothers, Adv. Phys., 20, 405 (1971).

    Google Scholar 

  25. A. Bárány and D. S. F. Crothers, Phys. Scripta, 23, 1096 (1981).

    Google Scholar 

  26. A. D. Bandrauk and M. S. Child, Mol. Phys., 19, 95 (1970).

    Google Scholar 

  27. H. Nakamura, Phys. Rev., 26A, 3125 (1982).

    Google Scholar 

  28. K. S. Lam and T. F. George, Semiclassical Methods in Molecular Scattering and Spectroscopy, M. S. Child, Ed. Reidel, Dordrecht (1980) p. 179–261.

    Google Scholar 

  29. O. Atabek, R. Lefebvre and M. Jacon, J. Phys. B, 15, 2689 (1982).

    Google Scholar 

  30. E. Briindas, M. Rittby and N. Elander, These Proceedings, E. Briindas and N. Elander, Eds., Lecture Notes in Phys., Springer-Verlag, Berlin (1988).

    Google Scholar 

  31. M. Rittby, Phd Thesis, University of Stockholm, Stockholm (1985).

    Google Scholar 

  32. A. D. Bandrauk and M. S. Child, Mol. Phys., 19, 85 (1970).

    Google Scholar 

  33. M. S. Child, Molecular Spectroscopy, Vol. 2, R. F. Barrow, D. A. Long and D. J. Millen, Eds., Chem. Soc. Spec. Period. Report, (1974).

    Google Scholar 

  34. M. S. Child, Can. J. Phys., 53, 1838 (1975).

    Google Scholar 

  35. M. S. Child, Mol. Phys., 32, 1495 (1976).

    Google Scholar 

  36. M. S. Child and R. Lefebvre, Mol. Phys., 34, 979 (1977).

    Google Scholar 

  37. K-E. Thylwe and A. Bárány, J. Phys. B, 19, L741 (l986).

    Google Scholar 

  38. H. J. Korsch, Unpublished.

    Google Scholar 

  39. F. J. Smith, Physica, 30, 497 (l964).

    Google Scholar 

  40. N. Fröman, Semiclassical Methods in Molecular Scattering and Spectroscopy, M. S. Child, Ed., Reidel, Dordrecht (1980) p. 1–44.

    Google Scholar 

  41. P. Pajunen and J. Luppi, J. Chem. Phys., 76, 4110 (1982).

    Google Scholar 

  42. J. Luppi and P. Pajunen, J. Chem. Phys., 76, 4117 (1982); J. Chem. Phys., 77, 1505 (l982); J. Chem. Phys., 78, 4451 (1983), J. Chem. Phys., 81, 1836 (1984).

    Google Scholar 

  43. J. Luppi, Phd Thesis, University of Helsinki (l987).

    Google Scholar 

  44. R. Paulsson, F. Karlsson and R. J. LeRoy, J. Chem. Phys., 70, 4346 (1983).

    Google Scholar 

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Authors and Affiliations

  1. Fachbereich Physik, Universität Kaiserslautern, D-6750, Kaiserslautern, Germany

    H. Jürgen Korsch

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  1. H. Jürgen Korsch
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Erkki Brändas Nils Elander

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© 1989 Springer-Verlag

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Jürgen Korsch, H. (1989). Semiclassical description of resonances. In: Brändas, E., Elander, N. (eds) Resonances The Unifying Route Towards the Formulation of Dynamical Processes Foundations and Applications in Nuclear, Atomic and Molecular Physics. Lecture Notes in Physics, vol 325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-50994-1_45

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  • DOI: https://doi.org/10.1007/3-540-50994-1_45

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  • Print ISBN: 978-3-540-50994-3

  • Online ISBN: 978-3-540-46130-2

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