Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Application of the $J$-matrix Method to Faddeev-Merkuriev equation:
  beyond pseudostates   A version of the $J$-matrix method for solving numerically the three-body
Faddeev-Merkuriev differential equations is proposed. This version allows to
take into account the full spectrum of the two-body Coulomb subsystem. As a
result, a discrete analog of the Lippmann-Schwinger equation is obtained which
allows to interpret correctly the three-body wave function in two-body domains.
The scheme is applied to calculations of the fully resolved absolute
differential cross sections for the He$(e,2e)$He$^+$ and He$(e,3e)$He$^{++}$
reactions at small energy and momentum transfers. The results are in good
agreement with the experiment both in shape and in absolute value.

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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
2
The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga