Skip to main content
SpringerLink
Log in

Quantum Scattering with the Driven Schrödinger Approach and Complex Scaling

  • Published:
Few-Body Systems Aims and scope Submit manuscript

Abstract

Quantum scattering calculations of two and three-body systems with Coulomb interaction using the driven Schrödinger equation combined with exterior complex scaling are discussed. A rigorous formulation for two-body scattering is reported, and its generalization to three-body scattering is considered.

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. Liu K., Skodje R.T., Manolopoulos D.E.: Resonances in bimolecular reactions. Phys. Chem. Commun. 5, 27 (2002)

    Google Scholar 

  2. Lagana, A., Lendvay, G. (eds): Theory of Chemical Reaction Dynamics. NATO Science Series, vol. 145. Kluwer, Dordrecht (2004)

    Google Scholar 

  3. Non-adiabatic Effects in Chemical Dynamics. Faraday Discussions, vol. 127 (2004)

  4. Schmidt H.T. et al.: Desiree as a new tool for insterstellar ion chemistry. Internat. J. Astrobiol. 7, 205 (2008)

    Article  ADS  Google Scholar 

  5. Stenrup M., Larson Å., Elander N.: Mutual neutralization in low energy H+ +H− collisions. Phys. Rev. A 79, 012713 (2009)

    Article  ADS  Google Scholar 

  6. Shilyaeva K., Yarevsky E., Elander N.: Identifying resonance structures in a scattering cross section using the N3+ + H → NH3+ → N2+ + H+ reaction as an example. J. Phys. B At. Mol. Opt. Phys. 42, 044011 (2009)

    Article  ADS  Google Scholar 

  7. Nuttal J., Cohen H.L.: Method of complex coordinates for three-body calculations above the breakup threshold. Phys. Rev. 188, 1542 (1969)

    Article  ADS  Google Scholar 

  8. Hislop P.D., Sigal I.M.: Introduction to Spectral Theory. Springer, New York (1996)

    MATH  Google Scholar 

  9. Rescigno T.N., Baertschy M., Byrum D., McCurdy C.W.: Making complex scaling work for long-range potentials. Phys. Rev. A 55, 4253 (1997)

    Article  ADS  Google Scholar 

  10. Volkov M.V., Elander N., Yarevsky E., Yakovlev S.L.: Solving the Coulomb scattering problem using the complex scaling method. EPL 85, 30001 (2009)

    Article  ADS  Google Scholar 

  11. Newton R.G.: Scattering Theory of Waves and Particles. Springer, New York (1982)

    MATH  Google Scholar 

  12. Faddeev L.D., Merkuriev S.P.: Quantum Scattering Theory of Several Particle Systems. Kluwer, Dordrect (1993)

    Google Scholar 

  13. Alferova T., Andersson S., Elander N., Levin S., Yarevsky E.: Resonances in three-body systems studied by a full angular momentum, smooth exterior complex scaling finite element method. Few Body Syst. 31, 177 (2002)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Molecular Physics Division, AlbaNova University Center, Stockholm University, 106 91, Stockholm, Sweden

    Nils Elander, Mikhail Volkov, Åsa Larson, Michael Stenrup & J. Zsolt Mezei

  2. Department of Physics, St. Petersburg State University, St. Petersburg, Russia

    Evgeny Yarevsky & Sergey Yakovlev

Authors
  1. Nils Elander
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mikhail Volkov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Åsa Larson
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Michael Stenrup
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. J. Zsolt Mezei
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. Evgeny Yarevsky
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. Sergey Yakovlev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Nils Elander.

Additional information

This article is based on the presentations by M. Volkov and N. Elander at the Fifth Workshop on the Dynamics and Structure of Critically Stable Quantum Few-Body Systems, Erice, Italy, 2008.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Elander, N., Volkov, M., Larson, Å. et al. Quantum Scattering with the Driven Schrödinger Approach and Complex Scaling. Few-Body Syst 45, 197–201 (2009). https://doi.org/10.1007/s00601-009-0046-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-009-0046-3

Keywords

Search

Navigation