Skip to main content
SpringerLink
Log in

Diffraction Approach in the Scattering Problem for Three Charged Quantum Particles

  • Short Communications
  • Published:
Mathematical Notes Aims and scope Submit manuscript

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

References

  1. V. S. Buslaev, S. P. Merkur’ev, and S. P. Salikov, Problems of Mathematical Physics, Vol. 9: Scattering Theory. Theory of Oscillations (Izd. Leningrad Univ., Leningrad, 1979), pp. 14–30 [in Russian].

    MATH  Google Scholar 

  2. V. S. Buslaev, S. P. Merkur’ev, and S. P. Salikov, J. Sov. Math. 21 (3), 260 (1983).

    Article  Google Scholar 

  3. M. Gaudin and B. Derrida, J. Phys. 36, 1183 (1975).

    Article  Google Scholar 

  4. V. S. Buslaev and S. B. Levin, St. Petersburg Math. J. 22 (3), 379 (2010).

    Article  Google Scholar 

  5. V. S. Buslaev and S. B. Levin, Functional Anal. Appl. 46 (2), 147 (2012).

    Article  MathSciNet  Google Scholar 

  6. S. B. Levin, J. Math. Sci. (N.Y.) 226 (6), 744 (2017).

    Article  MathSciNet  Google Scholar 

  7. E. O. Alt and A. M. Mukhamedzhanov, JETP Lett. 56 (9), 435 (1992); Phys. Rev. A 47 (3), 2004 (1993).

    MathSciNet  Google Scholar 

  8. S. P. Merkur’ev and L. D. Faddeev, Quantum Scattering Theory for Systems of Several Particles (Nauka, Moscow, 1985) [in Russian].

    MATH  Google Scholar 

  9. M. Larsson and A. E. Orel, Dissociative Recombination of Molecular Ions (Cambridge Univ. Press, Cambridge, 2008).

    Book  Google Scholar 

  10. J. Tennyson, Phys. Rep. 491, 29 (2010).

    Article  Google Scholar 

  11. A. M. Budylin, Ya. Yu. Koptelov, and S. B. Levin, J. Math. Sci. (New York) 238 (5), 601 (2019).

    Article  MathSciNet  Google Scholar 

Download references

Funding

This research was supported by the Russian Science Foundation under grant 17-11-01003-P.

Author information

Authors and Affiliations

  1. St. Petersburg State University, 199034, St. Petersburg, Russia

    S. B. Levin

Authors
  1. S. B. Levin
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. B. Levin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Levin, S.B. Diffraction Approach in the Scattering Problem for Three Charged Quantum Particles. Math Notes 108, 457–461 (2020). https://doi.org/10.1134/S0001434620090163

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0001434620090163

Keywords

Search

Navigation