Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isospectral mapping for quantum systems with energy point spectra to
  polynomial quantum harmonic oscillators   We show that a polynomial H(N) of degree N of a harmonic oscillator
hamiltonian allows us to devise a fully solvable continuous quantum system for
which the first N discrete energy eigenvalues can be chosen at will. In general
such a choice leads to a re-ordering of the associated energy eigenfunctions of
H such that the number of their nodes does not increase monotonically with
increasing level number. Systems H have certain universal features, we study
their basic behaviours.

9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th