Skip to main content
SpringerLink
Log in

Separation of variables for three-body problems. Application to H +2

  • Published:
Soviet Physics Journal Aims and scope

Abstract

An approximate separation of variables is proposed for the three-body problem in Jacobi coordinates. As an illustration of the method, the three lower states of +2 are calculated.

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

Literature cited

  1. W. Kolos, Acta Phys. Acad. Sci. Hung.,27, 241 (1969).

    Google Scholar 

  2. H. Almström, Lett. Nuovo Cimento,8, 983 (1973).

    Google Scholar 

  3. L. M. Delves and T. Kalotas, Aust. J. Phys.,21, 431 (1968).

    Google Scholar 

  4. I. V. Komarov, L. I. Ponomarev, and S. Yu. Slavyanov, Spheroidal and Coulomb Spheroidal Functions [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  5. L. S. Salmon, F. W. Birss, and K. Ruedenberg, J. Chem. Phys.,49, 4293 (1968).

    Google Scholar 

  6. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  7. M. Moshinskii, The Harmonic Oscillator in Modern Physics: From Atoms to Quarks [Russian translation], Mir, Moscow (1972).

    Google Scholar 

  8. L. D. Landau and E. M. Lifschitz, Quantum Mechanics, Pergamon, Oxford-New York (1965).

    Google Scholar 

  9. D. M. Bishop and L. M. Cheung, Phys. Rev.,A16, 640 (1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Atmospheric Optics, Siberian Branch, Academy of Sciences of the USSR, USSR

    I. I. Ippolitov & S. V. Katyurin

Authors
  1. I. I. Ippolitov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. V. Katyurin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 35–40, March, 1979.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ippolitov, I.I., Katyurin, S.V. Separation of variables for three-body problems. Application to H +2 . Soviet Physics Journal 22, 251–255 (1979). https://doi.org/10.1007/BF00889856

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00889856

Keywords

Search

Navigation