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

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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.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    D. Ya. Petrina

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  1. D. Ya. Petrina
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Petrina, D.Y. BCS Model Hamiltonian of the Theory of Superconductivity as a Quadratic Form. Ukrainian Mathematical Journal 56, 374–409 (2004). https://doi.org/10.1023/B:UKMA.0000045685.31939.bc

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  • DOI: https://doi.org/10.1023/B:UKMA.0000045685.31939.bc

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