Skip to main content
SpringerLink
Log in

Asymptotic Behavior of the Wavefunction for the Scattering of Three Particles with the Coulomb Interaction

  • METHODS OF THEORETICAL PHYSICS
  • Published:
JETP Letters Aims and scope Submit manuscript

The coordinate asymptotic behavior of the wavefunction for the scattering of three particles with the Coulomb interaction is constructed. The representation of hyperspherical functions is used to reduce the Schrödinger equation to a system of partial wave one-dimensional equations. Asymptotic solutions of this system of equations are constructed by direct asymptotic methods.

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. L. D. Faddeev and S. P. Merkuriev, Quantum Scattering Theory for Several Particle Systems (Nauka, Moscow, 1985; Springer, Dordrecht, 1993).

  2. S. P. Merkur’ev, Theor. Math. Phys. 8, 798 (1971).

    Article  Google Scholar 

  3. S. L. Yakovlev, Theor. Math. Phys. 186, 126 (2016).

    Article  Google Scholar 

  4. S. P. Merkur’ev, Theor. Math. Phys. 32, 680 (1977).

    Article  Google Scholar 

  5. H. Klar, Z. Phys. D 16, 231 (1990).

    Article  ADS  Google Scholar 

  6. E. O. Alt and A. M. Mukhamedzhanov, Phys. Rev. A 47, 2004 (1993).

    Article  ADS  MathSciNet  Google Scholar 

  7. R. K. Peterkop, Theory of Ionization of Atoms (Colorado Assoc. Univ. Press, Louisville, 1977).

    Google Scholar 

  8. S. L. Yakovlev, Theor. Math. Phys. 206, 68 (2021).

    Article  Google Scholar 

  9. R. Ya. Kezerashvili and S. Rosati, Phys. Lett. B 318, 23 (1993).

    Article  ADS  Google Scholar 

  10. N. Ja. Vilenkin, Special Functions and the Theory of Group Representations, Vol. 22 of Transl. Math. Monogr. (Nauka, Moscow, 1965; Am. Math. Soc., Providence, RI, 1968).

  11. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, Applied Mathematics Series (Natl. Bureau of Standards, Washington, DC, 1972).

  12. A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1962).

    MATH  Google Scholar 

  13. S. L. Yakovlev, Theor. Math. Phys. 203, 664 (2020).

    Article  Google Scholar 

Download references

ACKNOWLEDGMENTS

This research was carried out as a part of St. Petersburg State University Project INI 2021 using computational resources provided by Resource Center “Computer Center of St. Petersburg State University” (http://cc.spbu.ru).

Author information

Authors and Affiliations

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

    S. L. Yakovlev

Authors
  1. S. L. Yakovlev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. L. Yakovlev.

Ethics declarations

The author declares that he has no conflicts of interest.

Additional information

Translated by the authors

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yakovlev, S.L. Asymptotic Behavior of the Wavefunction for the Scattering of Three Particles with the Coulomb Interaction. Jetp Lett. 116, 268–274 (2022). https://doi.org/10.1134/S0021364022601348

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0021364022601348

Search

Navigation