Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical Lieb-Thirring bounds for one-dimensional Schrodinger operators
  and Jacobi matrices with regular ground states   This paper has been withdrawn by the author in favor of a stronger result
proven by the author with R. Frank and T. Weidl in arXiv:0707.0998

0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th