Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isogeometric Analysis of Bound States of a Quantum Three-Body Problem in
  1D   In this paper, we initiate the study of isogeometric analysis (IGA) of a
quantum three-body problem that has been well-known to be difficult to solve.
In the IGA setting, we represent the wavefunctions by linear combinations of
B-spline basis functions and solve the problem as a matrix eigenvalue problem.
The eigenvalue gives the eigenstate energy while the eigenvector gives the
coefficients of the B-splines that lead to the eigenstate. The major difficulty
of isogeometric or other finite-element-method-based analyses lies in the lack
of boundary conditions and a large number of degrees of freedom for accuracy.
For a typical many-body problem with attractive interaction, there are bound
and scattering states where bound states have negative eigenvalues. We focus on
bound states and start with the analysis for a two-body problem. We demonstrate
through various numerical experiments that IGA provides a promising technique
to solve the three-body problem.

9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci