Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of the raising operator for Rosen-Morse eigenstates in
  terms of the Weyl fractional integral   The raising operator relating adjacent bound states for the general,
non-symmetric Rosen-Morse potential is constructed explicitly. It is
demonstrated that, in constrast to the symmetric (modified P\"oschl-Teller)
potential, the operator is non-local and must be expressed applying techniques
from fractional calculus. A recurrence relation between adjacent states is
derived applying the Weyl fractional integral, which, in contrast to standard
recurrence relations, allows the efficient numerical computation of the
coefficients of all Jacobi polynomials necessary for the evaluation of the
bound state wave functions, providing an application of fractional calculus to
exactly solvable quantum systems.

21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin