Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigenstates for billiards of arbitrary shapes   A new algorithm for determining the eigenstates of n-dimensional billiards is
presented. It is based on the application of the Cauchy theorem for the
determination of the null space of the boundary overlap matrix. The method is
free from the limitations associated with the shape of the billiard and could
be applied even for nonconvex geometries where other algorithms face
difficulties. Moreover it does not suffer from the existence of eigenvalue
degeneracies which is another serious shortcoming of many methods. In the paper
we apply the algorithm to a few simple cases where the analytical solutions
exist. Numerical solutions have been investigated for the case of annular
billiard.

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The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
16
The categories of this paper are: stat
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio