Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shape invariant potentials in SUSY quantum mechanics and periodic orbit
  theory   We examine shape invariant potentials (excluding those that are obtained by
scaling) in supersymmetric quantum mechanics from the stand-point of periodic
orbit theory. An exact trace formula for the quantum spectra of such potentials
is derived. Based on this result, and Barclay's functional relationship for
such potentials, we present a new derivation of the result that the lowest
order SWKB quantisation rule is exact.

24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th