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Threshold peaks in the vibrational excitation of molecules by electron impact: a time-dependent view

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Zeitschrift für Physik D Atoms, Molecules and Clusters

Abstract

Resonance and threshold effects in low-energy electronmolecule collisions are analyzed in a time-dependent picture. Time-dependent wave packets reflecting the non-Markovian open-system dynamics of electron-molecule collision complexes are explicitly generated for two representative models of pures-wave scattering and dipole-modifieds-wave scattering, respectively. The numerical results demonstrate the relevance of the adiabatic potential-energy curves of resonances, virtual states and bound states for a qualitative understanding of the dynamics and lucidly reveal the existence of nonadiabatic processes in such systems.

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References

  1. Rohr, K., Linder, F.: J. Phys. B9, 2521 (1976)

    Google Scholar 

  2. Seng, G., Linder, F.: J. Phys. B9, 2539 (1976)

    Google Scholar 

  3. Rohr, K.: J. Phys. B11, 1849 (1978)

    Google Scholar 

  4. Rohr, K.: J. Phys. B10, 1175 (1977)

    Google Scholar 

  5. Rohr, K.: J. Phys. B13, 4897 (1980)

    Google Scholar 

  6. Sohn, W., Jung, K., Ehrhardt, H.: J. Phys. B16, 891 (1983)

    Google Scholar 

  7. Kochem, K.H., Sohn, W., Hebel, N., Jung, K., Ehrhardt, H.: J. Phys. B18, 4455 (1985)

    Google Scholar 

  8. Knoth, G., Rädle, M., Ehrhardt, H., Jung, K.: Europhys. Lett.4, 805 (1987)

    Google Scholar 

  9. Knoth, G., Rädle, M., Gote, M., Ehrhardt, H., Jung, K.: J. Phys. B22, 299 (1989)

    Google Scholar 

  10. Rädle, M., Knoth, G., Jung, K., Ehrhardt, H.: J. Phys. B22, 1455 (1989)

    Google Scholar 

  11. Morrison, M.A.: Adv. At. Mol. Phys.24, 51 (1988)

    Google Scholar 

  12. Dubé, L., Herzenberg, A.: Phys. Rev. Lett.38, 820 (1977)

    Google Scholar 

  13. Kazansky, A.K.: Sov. Phys. JETP55, 824 (1982); J. Phys. B16, 2427 (1983)

    Google Scholar 

  14. Gauyacq, J.P., Herzenberg, A.: Phys. Rev. A25, 2959 (1982)

    Google Scholar 

  15. Teillet-Billy, D., Gauyacq, J.P.: J. Phys. B17, 4041 (1984)

    Google Scholar 

  16. Domcke, W., Cederbaum, L.S., Kaspar, F.: J. Phys. B12, L359 (1979)

  17. Domcke, W., Cederbaum, L.S.: J. Phys. B14, 149 (1981)

    Google Scholar 

  18. Domcke, W.: J. Phys. B14, 4889 (1981)

    Google Scholar 

  19. Domcke, W., Mündel, C.: J. Phys. B18, 4491 (1985)

    Google Scholar 

  20. O'Neil, S.V., Rosmus, P., Norcross, D.W., Werner, H.-J.: J. Chem. Phys.85, 7232 (1986)

    Google Scholar 

  21. Rajzmann, M., Spiegelmann, F., Malrieu, J.P.: J. Chem. Phys.89, 433 (1988)

    Google Scholar 

  22. Morgan, L.A., Burke, P.G.: J. Phys. B21, 2091 (1988)

    Google Scholar 

  23. Morgan, L.A., Burke, P.G., Gillan, C.J.: J. Phys. B23, 99 (1990)

    Google Scholar 

  24. Snitchler, G., Norcross, D.W., Alston, S.: (to be published)

  25. Feshbach, H.: Ann. Phys. (N.Y.)19, 287 (1962)

    Google Scholar 

  26. Chen, J.C.Y.: Phys. Rev.148, 66 (1966)

    Google Scholar 

  27. O'Malley, T.F.: Phys. Rev.150, 14 (1966)

    Google Scholar 

  28. Bardsley, J.N.: J. Phys. B1, 349 (1968)

    Google Scholar 

  29. Hazi, A.U., Rescigno, T.N., Kurilla, M.: Phys. Rev. A23, 1089 (1981)

    Google Scholar 

  30. Domcke, W., Mündel, C., Cederbaum, L.S.: Comm. At. Mol. Phys.20, 293 (1987)

    Google Scholar 

  31. Estrada, H., Domcke, W.: J. Phys. B18, 4469 (1985)

    Google Scholar 

  32. McCurdy, C.W., Turner, J.L.: J. Chem. Phys.78, 6773 (1983)

    Google Scholar 

  33. Domcke, W., Estrada, H.: J. Phys. B21, L 205 (1988)

    Google Scholar 

  34. Estrada, H., Domcke, W.: Phys. Rev. A40, 1262 (1989)

    Google Scholar 

  35. Smith, F.T.: Phys. Rev.179, 111 (1969)

    Google Scholar 

  36. Hazi, A.U.: In: Electron-atom and electron-molecule collisions. Hinze, J. (ed.), p. 103. New York: Plenum 1983

    Google Scholar 

  37. Berman, M., Domcke, W.: Phys. Rev. A29, 2485 (1984);

    Google Scholar 

  38. Berman, M., Mündel, C., Domcke, W.: Phys. Rev. A31, 641 (1985)

    Google Scholar 

  39. Feynman, R.P.: Rev. Mod. Phys.20, 367 (1948)

    Google Scholar 

  40. Allen, L., Eberly, J.H.: Optical resonance and two-level atoms. New York: Wiley 1975

    Google Scholar 

  41. Agarwal, G.S.: Quantum optics. In: Springer Tracts in Modern Physics. Höhler, G. (ed.), Vol. 70, Berlin, Heidelberg, New York: Springer 1974

    Google Scholar 

  42. Herzenberg, A.: J. Phys. B1, 548 (1968);

    Google Scholar 

  43. Birtwistle, D.T., Herzenberg, A.: J. Phys. B4, 53 (1971)

    Google Scholar 

  44. Domcke, W., Cederbaum, L.S.: J. Phys. B13, 2829 (1980)

    Google Scholar 

  45. Cederbaum, L.S., Domcke, W.: J. Phys. B14, 4665 (1981);

    Google Scholar 

  46. Berman, M., Cederbaum, L.S., Domcke, W.: J. Phys. B16, 875 (1983)

    Google Scholar 

  47. Wigner, E.P.: Phys. Rev.73, 1002 (1948)

    Google Scholar 

  48. Gailitis, M., Damburg, R.: Proc. Phys. Soc. London77, 174 (1961);

    Google Scholar 

  49. O'Malley, T.F.: Phys. Rev.137, A 1668 (1965)

  50. Mündel, C., Domcke, W.: J. Phys. B17, 3593 (1984)

    Google Scholar 

  51. Herzenberg, A., Saha, B.C.: J. Phys. B16, 591 (1983)

    Google Scholar 

  52. Estrada, H., Domcke, W.: J. Phys. B17, 279 (1984)

    Google Scholar 

  53. Brigham, E.O.: The fast Fourier transform. Englewood Cliffs: Prentice Hall 1974;

    Google Scholar 

  54. Achilles, D.: Die Fouriertransformation in der Signalverarbeitung. Berlin, Heidelberg, New York: Springer 1985

    Google Scholar 

  55. Newton, R.G.: Scattering theory of waves and particles. Sect. 17. New York: McGraw-Hill 1966

    Google Scholar 

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Gertitschke, P.L., Domcke, W. Threshold peaks in the vibrational excitation of molecules by electron impact: a time-dependent view. Z Phys D - Atoms, Molecules and Clusters 16, 189–200 (1990). https://doi.org/10.1007/BF01437332

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  • DOI: https://doi.org/10.1007/BF01437332

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