Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of the generalized and complex Kohn variational methods   For Kohn variational calculations on low energy positron hydrogen molecule
elastic scattering, we prove that the phase shift approximation obtained using
the complex Kohn method is precisely equal to a value which can be obtained
immediately via the real-generalized Kohn method. Our treatment is sufficiently
general to be applied directly to arbitrary potential scattering or single open
channel scattering problems, with exchange if required. In the course of our
analysis, we develop a framework formally to describe the anomalous behaviour
of our generalized Kohn calculations in the regions of the well known Schwartz
singularities. This framework also explains the mathematical origin of the
anomaly-free singularities we reported in a previous article. Moreover, we
demonstrate a novelty, that explicit solutions of the Kohn equations are not
required in order to calculate optimal phase shift approximations. We relate
our rigorous framework to earlier descriptions of the Kohn-type methods.

0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat