Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unsupervised Neural Networks for Quantum Eigenvalue Problems   Eigenvalue problems are critical to several fields of science and
engineering. We present a novel unsupervised neural network for discovering
eigenfunctions and eigenvalues for differential eigenvalue problems with
solutions that identically satisfy the boundary conditions. A scanning
mechanism is embedded allowing the method to find an arbitrary number of
solutions. The network optimization is data-free and depends solely on the
predictions. The unsupervised method is used to solve the quantum infinite well
and quantum oscillator eigenvalue problems.

27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an