Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermalization of nonequilibrium electrons in quantum wires   We study the problem of energy relaxation in a one-dimensional electron
system. The leading thermalization mechanism is due to three-particle
collisions. We show that for the case of spinless electrons in a single channel
quantum wire the corresponding collision integral can be transformed into an
exactly solvable problem. The latter is known as the Schrodinger equation for a
quantum particle moving in a Poschl-Teller potential. The spectrum for the
resulting eigenvalue problem allows for bound-state solutions, which can be
identified with the zero modes of the collision integral, and a continuum of
propagating modes, which are separated by a gap from the bound states. The
inverse gap gives the time scale at which counterpropagating electrons
thermalize.

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The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an