Skip to main content
Log in

The separation of electronic and nuclear motion in the diatomic molecule

  • Regular Article
  • Published:
Theoretical Chemistry Accounts Aims and scope Submit manuscript

Abstract

The Schrödinger Coulomb Hamiltonian for electronic and nuclear motion in a diatomic molecule is presented and its effect upon functions which are products of functions of electronic and of nuclear variables is explicitly exhibited. Computational approaches to finding approximate solutions in such a basis are outlined.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Reed M and Simon B (1978). Methods of modern mathematical physics, IV, analysis of operators. Academic, New York

    Google Scholar 

  2. Thirring W (1981) A course in mathematical physics, 3, quantum mechanics of atoms and molecules, tr. E. M. Harrell, Springer, New York

  3. Thirring W (1987) In: Kilminster CW (ed) Schrödinger, centenary celebrations of a polymath. Cambridge University Press, Cambridge, p 65

  4. Frolov AM (1999). Phys Rev A 59: 4270

    Article  CAS  Google Scholar 

  5. Combes J-M, Seiler R (1980) In: Woolley RG (ed) Quantum dynamics of molecules. Plenum Press, New York, NATO ASI, B57, p 435

  6. Brocks G, Sutcliffe BT, Tennyson J and Avoird A (1983). Molec Phys 50: 1025

    Article  CAS  Google Scholar 

  7. Kołos W and Wolniewicz L (1963). Rev. Mod. Phys. 35: 473

    Article  Google Scholar 

  8. Carrington A, Kennedy RA (1984) In: Bowers MT (ed) Gas phase ion chemistry,vol 3, Academic, New York, p 393

  9. Brink DM and Satchler GR (1968). Angular momentum. Clarendon Press, Oxford

    Google Scholar 

  10. Biedenharn LC and Louck JC (1982). Angular momentum in quantum physics. Addison-Wesley, Reading

    Google Scholar 

  11. Sutcliffe BT (2000). Adv Chem Phys 114: 97

    Google Scholar 

  12. Kołos W (1970). Adv. Quant Chem 5: 99

    Article  Google Scholar 

  13. Eyring H, Walter J and Kimball GE (1944). Quantum chemistry. Wiley Inc., New York

    Google Scholar 

  14. Wolniewicz L and Poll J (1986). Mol Phys 59: 953

    Article  CAS  Google Scholar 

  15. Hilico L, Billy N, Grémaud B and Delande D (2000). Eur J Phys D 12: 449

    Article  CAS  Google Scholar 

  16. Handy NC, Yamaguchi Y and Schaefer III HF (1986). J Chem Phys 84: 4481

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Brian T Sutcliffe.

Additional information

Contribution to the Serafin Fraga Memorial Issue.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sutcliffe, B.T. The separation of electronic and nuclear motion in the diatomic molecule. Theor Chem Account 118, 563–571 (2007). https://doi.org/10.1007/s00214-007-0357-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00214-007-0357-8

Keywords

Navigation