Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Chebyshev Polynomial Expansion of Two-Dimensional Landau-Fermi liquid
  Parameters   We study the intrinsic effects of dimensional reduction on the transport
equation of a perfectly two-dimensional Landau-Fermi liquid. By employing the
orthogonality condition on the 2D analog of the Fourier-Legendre expansion, we
find that the equilibrium and non-equilibrium properties of the fermionic
system differ from its three-dimensional counterpart, with the latter changing
drastically. Specifically, the modified Landau-Silin kinetic equation is
heavily dependent on the solution of a non-trivial contour integral specific to
the 2D liquid. We find the solution to this integral and its generalizations,
effectively reducing the problem of solving for the collective excitations of a
collisonless two-dimensional Landau-Fermi liquid to solving for the roots of
some high-degree polynomial. This analysis ultimately lays the mathematical
foundation for the exploration of atypical behavior in the non-equilibrium
properties of two-dimensional fermionic liquids in the context of the Landau
quasiparticle paradigm.

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The categories of this paper are: eess
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th