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The Semiclassical Initial Value Series Representation of the Quantum Propagator

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Quantum Dynamics of Complex Molecular Systems

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References

  1. J.H. Van Vleck, Proc. Natl. Acad. Sci. USA 14, 178 (1928)

    Article  CAS  Google Scholar 

  2. W.H. Miller, Adv. Chem. Phys. 25, 69 (1974)

    Article  Google Scholar 

  3. M.V. Berry and M. Tabor, Proc. R. Soc. London A 356, 375 (1977)

    Article  Google Scholar 

  4. M.C. Gutzwiller, J. Math. Phys. 12, 343 (1971)

    Article  Google Scholar 

  5. M.S. Child, Molecular Collision Theory, (Academic, London, 1974)

    Google Scholar 

  6. W.H. Miller, J. Chem. Phys. 53, 3578 (1970)

    Article  CAS  Google Scholar 

  7. E. Heller, J. Chem. Phys. 75, 2923 (1981)

    Article  CAS  Google Scholar 

  8. M.F. Herman and E. Kluk, Chem. Phys. 91, 27 (1984)

    Article  CAS  Google Scholar 

  9. E. Kluk, M.F. Herman and H.L. Davis, J. Chem. Phys. 84, 326 (1986)

    Article  CAS  Google Scholar 

  10. F. Grossmann, Comments At. Mol. Phys. 34, 141 (1999)

    Google Scholar 

  11. D.J. Tannor and S. Garaschuk, Annu. Rev. Phys. Chem. 51, 553 (2000)

    Article  CAS  Google Scholar 

  12. M. Baranger, M.A.M. de Aguiar, F. Keck, H.J. Korsch and B. Schellhaas, J. Phys. A: Math. Gen. 34, 7227 (2001)

    Article  Google Scholar 

  13. W.H. Miller, J. Phys. Chem. A 105, 2942 (2001)

    CAS  Google Scholar 

  14. K.G. Kay, “Semiclassical initial value treatments of atoms and molecules”, Annu. Rev. Phys. Chem. 56, 255 (2005)

    Article  CAS  Google Scholar 

  15. N. Makri and K. Thompson, Chem. Phys. Lett. 291, 101 (1998)

    Article  CAS  Google Scholar 

  16. J. Shao and N. Makri, J. Phys. Chem. A, 103, 7753 (1999)

    Article  CAS  Google Scholar 

  17. X. Sun and W.H. Miller, J. Chem. Phys. 103, 7753 (1999)

    Google Scholar 

  18. M. Thoss, H. Wang and W.H. Miller, J. Chem. Phys. 114, 9220 (2001)

    Article  CAS  Google Scholar 

  19. V.S. Filinov, Nucl. Phys. B 271, 717 (1986)

    Article  Google Scholar 

  20. B.W. Spath and W.H. Miller, J. Chem. Phys. 104, 95 (1996)

    Article  CAS  Google Scholar 

  21. A.R. Walton and D.E. Manolopoulos, Mol. Phys. 87, 961 (1996)

    Article  CAS  Google Scholar 

  22. E.A. Coronado, V.S. Batista and W.H. Miller, J. Chem. Phys. 112 5566(2000)

    Article  CAS  Google Scholar 

  23. M. Spanner, V.S. Batista and P. Brumer, J. Chem. Phys. 122, 084111 (2005)

    Article  CAS  Google Scholar 

  24. F. Grossmann and M.F. Herman, J. Phys. A: Math. Gen. 35, 9489 (2002)

    Article  Google Scholar 

  25. M. Baranger, M.A.M. de Aguiar, F. Keck, H.J. Korsch and B. Schellhaas, J. Phys. A: Math. Gen. 34, 9493 (2002)

    Article  Google Scholar 

  26. E. Martin Fierro and J.M. Gomez Llorente, Chem. Phys., vol. 322, p. 13 (2006)

    Article  CAS  Google Scholar 

  27. E. Pollak and J. Shao, J. Phys. Chem. A 107, 7112 (2003)

    Article  CAS  Google Scholar 

  28. S. Zhang and E. Pollak, Phys. Rev. Lett. 91, 190201 (2003)

    Article  CAS  Google Scholar 

  29. J. Ankerhold, M. Saltzer and E. Pollak, J. Chem. Phys. 116, 5925 (2002)

    Article  CAS  Google Scholar 

  30. S. Zhang and E. Pollak, J. Chem. Phys. 119, 11058 (2003)

    Article  CAS  Google Scholar 

  31. E. Pollak and S. Miret-Artes, J. Phys. A. 37, 9669 (2004)

    Article  Google Scholar 

  32. S. Zhang and E. Pollak, J. Chem. Phys. 121, 3384 (2004)

    Article  CAS  Google Scholar 

  33. D. H. Zhang and E. Pollak, Phys. Rev. Lett. 93, 140401 (2004)

    Article  CAS  Google Scholar 

  34. S. Zhang and E. Pollak, J. Chem. Theor. Comp. 1, 345 (2005)

    Article  CAS  Google Scholar 

  35. M. Saltzer and E. Pollak, J. Chem. Theor. Comp. 1, 439 (2005)

    Article  CAS  Google Scholar 

  36. C. Harabati, J.M. Rost and F. Grossmann, J. Chem. Phys. 120, 26 (2004)

    Article  CAS  Google Scholar 

  37. J. Shao and N. Makri, J. Chem. Phys. 113, 3681 (2000)

    Article  CAS  Google Scholar 

  38. S. Keshavamurthy and W.H. Miller, Chem. Phys. Lett. 218, 189 (1994)

    Article  CAS  Google Scholar 

  39. N.T. Maitra and E.J. Heller, Phys. Rev. Lett. 78, 3035 (1997)

    Article  CAS  Google Scholar 

  40. K.G. Kay, J. Chem. Phys. 107, 2313 (1997)

    Article  CAS  Google Scholar 

  41. F. Grossmann, Phys. Rev. Lett. 85, 903 (2000)

    Article  CAS  Google Scholar 

  42. J.C. Burant and V.S. Batista, J. Chem. Phys. 116, 2748 (2002)

    Article  CAS  Google Scholar 

  43. N.T. Maitra, J. Chem. Phys. 112, 531 (2000)

    Article  CAS  Google Scholar 

  44. M.R. Wall and D. Neuhauser, J. Chem. Phys. 102, 8011 (1995)

    Article  CAS  Google Scholar 

  45. V.A. Mandelshtam, Prof. Nucl. Magn. Res. Spect. 38, 159 (2001)

    Article  CAS  Google Scholar 

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Pollak, E. (2007). The Semiclassical Initial Value Series Representation of the Quantum Propagator. In: Micha, D.A., Burghardt, I. (eds) Quantum Dynamics of Complex Molecular Systems. Springer Series in Chemical Physics, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34460-5_11

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