Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A singular Lambert-W Schr\"odinger potential exactly solvable in terms
  of the confluent hypergeometric functions   We introduce two potentials explicitly given by the Lambert-W function for
which the exact solution of the one-dimensional stationary Schr\"odinger
equation is written through the first derivative of a double-confluent Heun
function. One of these potentials is a singular potential that behaves as the
inverse square root in the vicinity of the origin and vanishes exponentially at
the infinity. The exact solution of the Schr\"odinger equation for this
potential is given through fundamental solutions each of which presents an
irreducible linear combination of two confluent hypergeometric functions. Since
the potential is effectively a short-range one it supports only a finite number
of bound states.

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The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol