Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anti-symmetric square well and barrier potential between two rigid walls   We study an anti-symmetric (square) well and barrier potential of
depth/height $(V_0)$ placed between two rigid walls. Unlike the usual
double-well, here the closely lying sub-barrier doublets need not be the lowest
ones in the spectrum. When $V_0$ admits certain calculable values, $E=0$ or
$E=V_0$ or both could become energy eigenvalues of the special eigenstate which
emerge only if one seeks a linear solution of Schr{\"o}dinger equation in the
appropriate regions.

24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg