Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Phase-Space Distribution of Bloch Eigenmodes for Periodic Point
  Scatterers   Consider the 3-dimensional Laplacian with a potential described by point
scatterers placed on the integer lattice. We prove that for Floquet-Bloch modes
with fixed quasi-momentum satisfying a certain Diophantine condition, there is
a subsequence of eigenvalues of positive density whose eigenfunctions exhibit
equidistribution in position space and localisation in momentum space. This
result complements the result of Uebersch\"{a}r and Kurlberg who show momentum
localisation for zero quasi-momentum in 2-dimensions, and is the first result
in this direction in 3-dimensions.

5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
19
The categories of this paper are: eess
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga