Skip to main content
SpringerLink
Log in

Hard Core Square Well Quantum Matter

  • Chapter
Book cover Condensed Matter Theories

  • 65 Accesses

Abstract

Quantum field theory1 and Rayleigh-Schrodinger perturbation theory applied about an ideal gas have produced for the ground state energy per particle of a many-body system well-known low density expansions with three coefficients thus far determined for bosons2 and four for fermions3. The particular approach we have been implementing attempts4 to inquire how far one can go in constructing an accurate equation of state for several many-body Schrodinger systems, based only on these hard facts, and using extrapolation schemes like Padé5 and generalizations.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. L. Fetter and J. D. Walecka, “Quantum Theory of Many-Particle Systems,” McGraw-Hill, New York (1971).

    Google Scholar 

  2. N. M. Hugenholtz and D. Pines, Phys. Rev. 116: 489 (1959)

    Article  Google Scholar 

  3. G. A. Baker, Jr., Rev. Mod. Phys. 43: 479 (1971)

    Article  CAS  Google Scholar 

  4. G. A. Baker, Jr., M. de Llano and J. Pineda, Phys. Rev. B24: 6304(1981)

    Google Scholar 

  5. G. A. Baker, Jr., L.P. Benofy, M. Fortes, M. de Llano, S. Peltier and A. Piastino, Phys. Rev. A26: 3575 (1982)

    Google Scholar 

  6. G. A. Baker, Jr., G. Gutiérrez and M. de Llano, Ann. Phys. 153: 283 (1984).

    Article  CAS  Google Scholar 

  7. G. D. Scott and D. M. Kilgour, J. Phys. D2: 863 (1969).

    Google Scholar 

  8. A. Messiah, “Quantum Mechanics”, North-Holland, Amsterdam (1962) vol. I, p. 393.

    Google Scholar 

  9. S. I. Rubinow and T. T. Wu, J. Appl. Phys. 27: 1032 (1959).

    Google Scholar 

  10. V. C. Aguilera-Navarro, G. A. Baker, Jr., L.P. Benofy, M. Fortes and M. de Llano, Constructive Methods for the Ground State Energy of Neutron Matter”, to be submitted to Phys. Rev. C.

    Google Scholar 

  11. G. A. Baker, Jr., M. F. Hind and J. Kahane, Phys. Rev. C2: 841 (1970).

    Google Scholar 

  12. A.E.S. Green, T. Sawada and D. S. Saxon, “The Nuclear Independent Particle Model,” Academic, New York (1968) p. 52

    Google Scholar 

  13. G. Baym, H. A. Bethe and C. J. Pethick, Nuc1. Phys. A175: 225 (1971)

    Google Scholar 

  14. J. W. Clark and M. Flynn, priv. comm.

    Google Scholar 

  15. K. Schmidt, priv. comm. (through G.A. Baker, Jr.)

    Google Scholar 

  16. S.A. Moszkowski, priv. comm.

    Google Scholar 

  17. R. M. Panoff, priv. comm.

    Google Scholar 

  18. T. W. Burkhardt, Ann. Phys. (N.Y.) 47: 516 (1968).

    Article  CAS  Google Scholar 

  19. J. del Rio, Master’s Degree thesis (Carbondale, IL, 1985, unpubl.)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto de Física, Universidad Nacional Autónoma de México, 01000, Mexico, D.F, México

    M. Fortes

  2. Physics Dept., North Dakota State University, Fargo, N.D, 58105, USA

    M. de Llano

  3. Physics Dept., Southern Illinois University, Carbondal, IL, 62901, USA

    J. del Río

Authors
  1. M. Fortes
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. de Llano
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. del Río
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Southern Illinois University at Carbondale, Carbondale, Illinois, USA

    F. B. Malik

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer Science+Business Media New York

About this chapter

Cite this chapter

Fortes, M., de Llano, M., del Río, J. (1986). Hard Core Square Well Quantum Matter. In: Malik, F.B. (eds) Condensed Matter Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-6707-3_14

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-6707-3_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-6709-7

  • Online ISBN: 978-1-4615-6707-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation