Abstract
An energy eigenvalue equation for a quasi-particle is derived, starting with the Heisenberg equation of motion for an annihilation operator. An elementary derivation of the Fermi liquid model having a sharply defined Fermi surface in thek-space is given, starting with a realistic model of a metal including the Coulomb interaction amongand between electrons and lattice-ions. The Ginzburg-Landau wave function Ψ σ (r), whereσ represents the superconducting pairon (Cooper-pair) state, is shown to be connected with the one-pairon density operatorn by Ψ σ (r) = 〈r¦n 1/2¦σ〉. A close analogy between supercurrent and laser is indicated.
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On sabbatical leave from Department of Physics and Astronomy, State University of New York at Buffalo, Buffalo, New York.
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Fujita, S., Godoy, S. Quantum statistical foundation to the fermi liquid model and Ginzburg-Landau wave function. J Supercond 6, 373–379 (1993). https://doi.org/10.1007/BF00617974
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DOI: https://doi.org/10.1007/BF00617974