Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the change of density of states in two-body interactions   We derive a general relation in two-body scattering theory that more directly
relates the change of density of states (DDOS) due to interaction to the shape
of the potential. The relation allows us to infer certain global properties of
the DDOS from the global properties of the potential. In particular, we show
that DDOS is negative at all energies and for all partial waves, for potentials
that are more repulsive than $+1/r^2$ everywhere. This behavior represents a
different class of global properties of DDOS from that described by the
Levinson's theorem.

15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ