Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factorization of the Riesz-Feller fractional quantum harmonic
  oscillators   Using the Riesz-Feller fractional derivative, we apply the factorization
algorithm to the fractional quantum harmonic oscillator along the lines
previously proposed by Olivar-Romero and Rosas-Ortiz, extending their results.
We solve the non-Hermitian fractional eigenvalue problem in the k space by
introducing in that space a new class of Hermite `polynomials' that we call
Riesz-Feller Hermite `polynomials'. Using the inverse Fourier transform in
Mathematica, interesting analytic results for the same eigenvalue problem in
the x space are also obtained. Additionally, a more general factorization with
two different Levy indices is briefly introduced

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph