Skip to main content

Part of the book series: Few-Body Systems ((FEWBODY,volume 2))

  • 137 Accesses

Abstract

Quantum mechanical methods for three dimensional scattering calculations are outlined for triatomic systems. A critical examination of the use of an adiabatic representation in terms of hyperangular states is given.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Wigner, E.P. and Eisenbud, L.: Phys. Rev. 72, 29 (1947). Jackson, J.L.: Phys. Rev. 83, 830 (1951). See also Nesbet, R.K.: “Variational Methods in Electron- Atom Scattering Theory”, Plenum, New York. 1980.

    Article  ADS  Google Scholar 

  2. Gronwall, T.H.: Phys. Rev. 51, 655 (1937). Bartlett Jr., J.H.: Phys. Rev. 51, 661 (1937). Smith, F.T.: Phys. Rev. 120, 1058 (1960). Johnson, B.R.: J. Chem. Phys. 73, 5051 (1980).

    Article  ADS  MATH  Google Scholar 

  3. See e.g. Ciariet, P.G.: “The Finite Element Method for Elliptic Problems”, North-Holland, Amsterdam, 1980.

    Google Scholar 

  4. Brocchetta, C.J. and Gerratt, J.: J. Chem. Phys. 82, 1351 (1985).

    Article  ADS  Google Scholar 

  5. See e.g. Macek, J.: Phys. Rev. A31, 2162 (1985).

    ADS  Google Scholar 

  6. A notable exception is found in Launay, J.M. and Le Dorneuf, M.: J. Phys. B15, L455 (1982).

    Google Scholar 

  7. See e.g. Wolniewics, L. and Hinze, J.: J. Chem. Phys. 85, 2012 (1986) and Pack, R.T. and Parker, G.A.: J. Chem. Phys. (in print).

    Article  ADS  Google Scholar 

  8. Mead, C.A.: J. Chem. Phys. 72, 3839 (1980).

    Article  ADS  Google Scholar 

  9. Linderberg, J. and Öhrn, Y.: Int. J. Quant. Chem. 27, 273 (1985).

    Article  Google Scholar 

  10. Mishra, M. and Linderberg, J.: Mol. Phys. 50, 91 (1983). Linderberg, J.: Int. J. Quant. Chem. S19, 467 (1985).

    Article  ADS  Google Scholar 

  11. Biedenharn, L.C. and Louck, J.D.: “Angular Momentum in Quantum Physics. Theory and Application”, Addison-Wesley, Reading, Mass. 1981, p. 533.

    Google Scholar 

  12. Wannier, G.H.: Phys. Rev. 90, 817 (1953) Fano, U.: Phys. Rev. A24, 2402 (1981). Christensen-Dalsgaard, B.L.: Phys. Rev. A 29, 470, 2242 (1984).

    Article  ADS  MATH  Google Scholar 

  13. Hill, D.L. and Wheeler, J.A.: Phys. Rev. 89, 1102 (1953). Also Lathouwers, L. andDeumens, E.: J. Phys. A15, 2787 (1982), Lathouwers, L.: ibid. 16, 3197 (1983).

    Google Scholar 

  14. Avery, J. and Larsen, P.S.: Int. J. Quant. Chem. 29, 129, 1735

    Article  Google Scholar 

  15. Linderberg, J. and Vessal, B.: Int. J. Quant. Chem. 31, 65 1987).

    Article  Google Scholar 

  16. Hipes, P.G. and Kuppermann, A.: J. Chem. Phys. 84, 5962 (1986), Chem. Phys. 133, 1 (1987).

    Article  ADS  Google Scholar 

  17. Linderberg, J.: Computer Physics Reports (1987).

    Google Scholar 

  18. Ericson, T. and Ruhe, A.: Math, of Comp. 35–152, 1251 (1980), STLM, A Software Package for the Spectral Transform Lanczos Method. (Umeå University, Umeå, Sweden, 1984 ).

    Google Scholar 

  19. See e.g. Pack, R.T. and Parker, G.A.: J. Chem. Phys. (in print) Schwenke, D.W., Truhlar, D.G. and Kouri, D.J.: J. Chem. Phys. 86, 2772 (1987).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Linderberg, J. (1987). Atom-Diatom Scattering in Hyperspherical Coordinates. In: Ballot, JL., Fabre de la Ripelle, M. (eds) Few-Body Problems in Particle, Nuclear, Atomic, and Molecular Physics. Few-Body Systems, vol 2. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8956-6_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-7091-8956-6_26

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-8958-0

  • Online ISBN: 978-3-7091-8956-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics