Abstract
The Landau equation describing the collective modes of an infinite many-fermion system is cast into a form which displays explicitly its structure as a homogeneous Fredholm equation of the second kind with non-symmetric kernel. A variational principle appropriate to this equation is constructed by noting the analogy to the integral form of the Schrödinger equation. The Landau equation is also re-expressed in terms of two coupled equations with symmetric kernels.
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The author is grateful to Prof. R.H.Lemmer for helpful discussions and to Prof. H.A.Weidenmüller for a critical reading of the manuscript.
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Dover, C.B. A variational principle for the Landau equation. Z. Physik 214, 422–426 (1968). https://doi.org/10.1007/BF01379984
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DOI: https://doi.org/10.1007/BF01379984