Skip to main content
Log in

Local scale transformation method for the ground state of many-particle systems

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

Literature Cited

  1. A. Messiah, Quantum Mechanics, Vol. 2, North-Holland, Amsterdam (1965).

    Google Scholar 

  2. P. Hohenberg and W. Kohn, Phys. Rev. B,136, 864 (1964).

    Google Scholar 

  3. K. A. Bruekner et al., Phys. Rev.,171, 1188 (1968); K. A. Lombard, Ann. Phys. (N.Y.),77, 380 (1973); H. Stock, Nucl. Phys. A,237, 365 (1975); G. Holzwarth and G. Eckart, Z. Phys. A,281, 385 (1977).

    Google Scholar 

  4. B. S. De Witt, Rev. Mod. Phys.,29, 377 (1957); Phys. Rev.,85, 653 (1953); Sh. Nakai, Prog. Theor. Phys.,13, 380 (1955).

    Google Scholar 

  5. J. S. Bell in Lecture Notes on the Many Body Problem from the First Bergen. International School of Physics, New York (1961), p. 214; F. Eger and E. Gross, Ann. Phys. (N.Y.),24, 63 (1963); E. P. Gross, in: Mathematical Methods in Solid State and Superfluid Theory, New York (1968), p. 46.

    Google Scholar 

  6. F. M. Eger and E. P. Gross, Nuovo Cimento,34, 1225 (1964); J. Math. Phys.,6, 891 (1965);7, 578 (1968); E. P. Gross, Ann. Phys. (N. Y.),62, 320 (1971); N. M. Witriol, J. Math. Phys.,11, 669 (1970);12, 177, 2467 (1971); A. K. McMachan, J. Low Temp. Phys.,8, 159 (1972); S. B. Trickey et al., Phys. Rev. A,7, 1662 (1973).

    Google Scholar 

  7. L. S. Pontryagin, Ordinary Differential Equations [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  8. S. T. Epstein and J. O. Hirschfelder, Phys. Rev.,123, 1495 (1961).

    Google Scholar 

  9. J. O. Hirschfelder, J. Chem. Phys.,33, 1462 (1960).

    Google Scholar 

  10. I. Zh. Petkov and M. V. Stoitsov, Preprint R4-82-385 [in Russian], JINR, Dubna (1982).

  11. I. Zh. Petkov and M. V. Stoitsov, Doklady BAN,33, 1623 (1980).

    Google Scholar 

  12. I. Zh. Petkov and M. V. Stoitsov, Preprint IC/80/34, ICTP, Trieste (1980).

Download references

Authors

Additional information

Joint Institute for Nuclear Research, Dubna. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 55, No. 3, pp. 407–418, June, 1983

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petkov, I.Z., Stoitsov, M.V. Local scale transformation method for the ground state of many-particle systems. Theor Math Phys 55, 584–592 (1983). https://doi.org/10.1007/BF01015169

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01015169

Keywords

Navigation