Abstract
The derivation of the quasiclassical equations considered here depends on the structure of the Gor'kov equations. In a spatially varying situation they couple particle and hole functions with momenta only very near the Fermi surface. The equations are written in a form in which the dependence on the Fermion excitation energy can be integrated out. This produces an envelope function which describes the spatial superfluid structure, but not the oscillations of the full Green's function on the scale of the Fermi wavelength.
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Watts-Tobin, R.J. The Quasiclassical Description of an Inhomogeneous Fermi Superfluid. Journal of Low Temperature Physics 115, 243–249 (1999). https://doi.org/10.1023/A:1021827503594
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DOI: https://doi.org/10.1023/A:1021827503594