Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wigner-function formalism applied to semiconductor quantum devices:
  Failure of the conventional boundary-condition scheme   The Wigner-function formalism is a well known approach to model charge
transport in semiconductor nanodevices. Primary goal of the present article is
to point out and explain intrinsic limitations of the conventional
quantum-device modeling based on such Wigner-function paradigm, providing a
definite answer to open questions related to the application of the
conventional spatial boundary-condition scheme to the Wigner transport
equation. Our analysis shows that (i) in the absence of energy dissipation
(coherent limit) the solution of the Wigner equation equipped with given
boundary conditions is not unique, and (ii) when decoherence/dissipation
phenomena are taken into account via a relaxation-time approximation the
solution, although unique, is not necessarily a physical Wigner function.

37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math