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Rigorous results in the theory of superconductivity with Coulomb-like repulsion

Author

Listed:
  • Bakulev, A.P.
  • Bogoljubov, N.N.
  • Kurbatov, A.M.

Abstract

The traditional method of the approximating hamiltonian is applied for the investigation of a model of a superconductor with interaction of the BCS type and Coulomb-like repulsion, the latter being described by unbounded operators. It is shown that the traditional method can be generalized in such a way that for the model under consideration one can prove the asymptotic (in the thermodynamic limit V → ∞) coincidence not only of the free energies (per unit volume) but also of the correlation functions of the model and approximating hamiltonians.

Suggested Citation

  • Bakulev, A.P. & Bogoljubov, N.N. & Kurbatov, A.M., 1986. "Rigorous results in the theory of superconductivity with Coulomb-like repulsion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 134(2), pages 359-376.
    • Handle: RePEc:eee:phsmap:v:134:y:1986:i:2:p:359-376
    DOI: 10.1016/0378-4371(86)90055-5
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    References listed on IDEAS

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    1. Bogolubov, N.N. & Plechko, V.N., 1975. "A class of exactly soluble many-body Hamiltonians with the interaction of substance and boson field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 82(2), pages 163-194.
    2. den Ouden, L.W.J. & Capel, H.W. & Perk, J.H.H. & Tindemans, P.A.J., 1976. "Systems with separable many-particle interactions. I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(1), pages 51-70.
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