Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steady state quantum mechanics of thermally relaxing systems   A theoretical description of quantum mechanical steady states is developed.
Applications for simple quantum mechanical systems described in terms of
coupled level structures yield a formulation equivalent to time independent
scattering theory. Applications to steady states of thermally relaxing systems
leads to time independent scattering theory in Liouville space that is
equivalent to the tetradic Green's function formalism. It provides however a
direct route to derive particular forms of the Liouville equation applicable in
steady state situations. The theory is applied to study the conduction
properties in the super-exchange model of a metal-molecule-metal contact weakly
coupled to the thermal environment. The energy resolved temperature dependent
transmission probability, as well as its coherent (tunneling) and incoherent
(activated) parts, are calculated using the Redfield approximation. These
components depend differently on the energy gap (or barrier), on the
temperature and on the bridge length. The coherent component is most important
at low temperatures, large energy gaps and small chain lengths. The incoherent
component dominates in the opposite limits. The integrated transmission
provides a generalization of the Landauer conduction formula for small
junctions in the presence of thermal relaxation.

24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex