Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Lennard-Jones-type potentials on the half-line   In this paper we study a particle under the influence of a Lennard-Jones
potential moving in a simple quantum wire modelled by the positive half-line.
Despite its physical significance, this potential is only rarely studied in the
literature and due to its singularity at the origin it cannot be considered as
a standard perturbation of the one-dimensional Laplacian. It is therefore our
aim to provide a thorough description of the Hamiltonian in one dimension via
the construction of a suitable quadratic form. Our results include a discussion
of spectral and scattering properties which finally allows us to generalise
some results from [Robinson1974] as well as [RadinSimon1978].

31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th