Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-dimensional model of a quantum nonlinear harmonic oscillator   In this paper we study the quantization of the nonlinear oscillator
introduced by Mathews and Lakshmanan. This system with position-dependent mass
allows a natural quantization procedure and is shown to display shape
invariance. Its energy spectrum is found by factorization. The linear harmonic
oscillator appears as the $\lambda\to 0$ limit of this nonlinear oscillator,
whose energy spectrum and eigenfunctions are compared to the linear ones.

21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex