Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimally localized Wannier functions for quasi one-dimensional
  nonperiodic insulators   It is proved that for general, not necessarily periodic quasi one dimensional
systems, the band position operator corresponding to an isolated part of the
energy spectrum has discrete spectrum and its eigenfunctions have the same
spatial localization as the corresponding spectral projection.
  As a consequence, an eigenbasis of the band position operator provides a
basis of optimally localized (generalized) Wannier functions for quasi one
dimensional systems, thus proving the "strong conjecture" of Marzari and
Vanderbilt. If the system has some translation symmetries (e.g. usual
translations, screw transformations), they are "inherited" by the Wannier
basis.

19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom