Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the non-orthogonality problem in the description of quantum devices   An approach which allows to include the corrections from non-orthogonality of
electron states in contacts and quantum dots is developed. Comparison of the
energy levels and charge distributions of electrons in 1D quantum dot (QD) in
equilibrium, obtained within orthogonal (OR) and non-orthogonal representations
(NOR), with the exact ones shows that the NOR provides a considerable
improvement, for levels below the top of barrier. The approach is extended to
non-equilibrium states. A derivation of the tunneling current through a single
potential barrier is performed using equations of motion for correlation
functions. A formula for transient current derived by means of the diagram
technique for Hubbard operators is given for the problem of QD with strongly
correlated electrons interacting with electrons in contacts. The
non-orthogonality renormalizes the tunneling matrix elements and spectral
weights of Green functions (GFs).

26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int