Skip to main content
SpringerLink
Log in

More on the Airy Averaging Method

  • Published:
Journal of Mathematical Chemistry Aims and scope Submit manuscript

Abstract

The Airy averaging method illustrated in a previous paper [J. Math. Chem. 25 (1999) 93] is a simple and effective procedure for dealing with mathematical expressions/manipulations involving Airy functions. The potentiality of the method is emphasizd through a couple of applications drawn from recent research advances in the field of the discrete variable representation (DVR) basis sets.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G.P. Arrighini, N. Durante and C. Guidotti, J. Math. Chem. 25 (1999) 93.

    Article  Google Scholar 

  2. B.G. Englert and J. Schwinger, Phys. Rev. A 29 (1984) 2339.

    Article  Google Scholar 

  3. B.G. Englert, Semiclassical Theory of Atoms Lectures Notes in Physics, Vol.300 (Springer, Heidelberg, 1988).

    Google Scholar 

  4. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).

    Google Scholar 

  5. M.S. Child (ed.), Semiclassical Methods in Molecular Scattering and Spectroscopy (Reidel, Dordrecht, 1980).

    Google Scholar 

  6. E.J. Heller, J. Chem. Phys. 68 (1978) 2066.

    Article  Google Scholar 

  7. A.D. Bandrauk and J.-P. Laplante, Can. J. Chem. 55 (1977) 1333.

    Google Scholar 

  8. A.D. Bandrauk and J.-P. Laplante, J. Chem. Phys. 65 (1976) 2592.

    Article  Google Scholar 

  9. S.-Y. Lee and E.J. Heller, J. Chem. Phys. 71 (1979) 4777.

    Article  Google Scholar 

  10. M.L. Sink and A.D. Bandrauk, Chem. Phys. 33 (1978) 205.

    Article  Google Scholar 

  11. J.C. Light and T. Carrington, Jr., Adv. Chem. Phys. 114 (2000) 263.

    Google Scholar 

  12. R.G. Littlejohn, M. Cargo, T. Carrington, Jr., K. Mitchell and B. Poirier, J. Chem. Phys. 116 (2002) 8691.

    Article  Google Scholar 

  13. R.G. Littlejohn and M. Cargo, J. Chem. Phys. 117 (2002) 27.

    Article  Google Scholar 

  14. R.G. Littlejohn and M. Cargo, J. Chem. Phys. 117 (2002) 37.

    Article  Google Scholar 

  15. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products (Academic Press, New York, 1965).

    Google Scholar 

  16. S.-Y. Lee, J. Chem. Phys. 72 (1980) 332.

    Article  Google Scholar 

  17. R.G. Gordon, J. Chem. Phys. 51 (1969) 14.

    Article  Google Scholar 

  18. R.G. Gordon, J. Math. Phys. 9 (1968) 655.

    Article  Google Scholar 

  19. R.G. Gordon, J. Chem. Phys. 52 (1970) 6211.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Chimica e Chimica Industriale, Università di Pisa, Via Risorgimento 35, 56100, Pisa, Italy

    G.P. Arrighini, S. Bruzzone & C. Guidotti

Authors
  1. G.P. Arrighini
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. Bruzzone
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. C. Guidotti
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arrighini, G., Bruzzone, S. & Guidotti, C. More on the Airy Averaging Method. Journal of Mathematical Chemistry 34, 131–136 (2003). https://doi.org/10.1023/A:1025102214347

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1025102214347

Search

Navigation