Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex Square Well --- A New Exactly Solvable Quantum Mechanical Model   Recently, a class of PT-invariant quantum mechanical models described by the
non-Hermitian Hamiltonian $H=p^2+x^2(ix)^\epsilon$ was studied. It was found
that the energy levels for this theory are real for all $\epsilon\geq0$. Here,
the limit as $\epsilon\to\infty$ is examined. It is shown that in this limit,
the theory becomes exactly solvable. A generalization of this Hamiltonian,
$H=p^2+x^{2M}(ix)^\epsilon$ (M=1,2,3,...) is also studied, and this
PT-symmetric Hamiltonian becomes exactly solvable in the large-\epsilon limit
as well. In effect, what is obtained in each case is a complex analog of the
Hamiltonian for the square well potential. Expansions about the large-\epsilon
limit are obtained.

9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph