Skip to main content
Log in

On the mathematical structure of the B.C.S.-model

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract

It is investigated in which sense the Bogoliubov-Haag treatment of the B.C.S.-model gives the correct solution in the limit of infinite volume. We find that in a certain subspace of the infinite tensor product space the field operators show the correct time behaviour in the sense of strong convergence.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bogoliubov, N. N.: A new method in the theory of superconductivity. Soviet Physics JETP7, 41–46 (1958).

    Google Scholar 

  2. Haag, R.: The mathematical structure of the BCS-model. Nuovo cimento25/2 287–299 (1962).

    Google Scholar 

  3. Baumann, K., G. Eder, R. Sexl, andW. Thirring: On field theories with degenerate ground states. Ann. Physics16, 14–25 (1961).

    Google Scholar 

  4. v. Neumann, J.: On infinite direct products. Compositio Math.6, 1–77 (1939).

    Google Scholar 

  5. Emch, G., andM. Guenin: Gauge invariant formulation of the BCS-model. J. Math. Phys.7, 915 (1966).

    Google Scholar 

  6. Frishman, Y., andY. Katz: Lecture at the Schladming Winter School 1966, Theory of spontaneous symmetry breakdown and the appearance of massless particles.

Download references

Author information

Authors and Affiliations

Authors

Additional information

This work was partly supported by General Atomic Europe, partly by the Ludwig Boltzmann Gesellschaft.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Thirring, W., Wehrl, A. On the mathematical structure of the B.C.S.-model. Commun.Math. Phys. 4, 303–314 (1967). https://doi.org/10.1007/BF01653644

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01653644

Keywords

Navigation