Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lieb-Thirring inequalities for Schr\"odinger operators with
  complex-valued potentials   Inequalities are derived for power sums of the real part and the modulus of
the eigenvalues of a Schr\"odinger operator with a complex-valued potential.

11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex