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Ukrainian Mathematical Journal

, Volume 56, Issue 3, pp 374–409 | Cite as

BCS Model Hamiltonian of the Theory of Superconductivity as a Quadratic Form

  • D. Ya. Petrina
Article

Abstract

Bogolyubov proved that the average energies (per unit volume) of the ground states for the BCS Hamiltonian and the approximating Hamiltonian asymptotically coincide in the thermodynamic limit. In the present paper, we show that this result is also true for all excited states. We also establish that, in the thermodynamic limit, the BCS Hamiltonian and the approximating Hamiltonian asymptotically coincide as quadratic forms.

Keywords

Excited State Quadratic Form Unit Volume Thermodynamic Limit Average Energy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • D. Ya. Petrina
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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