On a two-particle bound system on the half-line
Mathematical Physics
2018-01-04 v2 Mesoscale and Nanoscale Physics
Superconductivity
math.MP
Spectral Theory
Quantum Physics
Abstract
In this paper we provide an extension of the model discussed in [arXiv:1504.08283] describing two singularly interacting particles on the half-line. In this model, the particles are interacting only whenever at least one particle is situated at the origin. Stimulated by [arXiv:1503.08814] we then provide a generalisation of this model in order to include additional interactions between the particles leading to a molecular-like state. We give a precise mathematical formulation of the Hamiltonian of the system and perform spectral analysis. In particular, we are interested in the effect of the singular two-particle interactions onto the molecule.
Cite
@article{arxiv.1604.06693,
title = {On a two-particle bound system on the half-line},
author = {Joachim Kerner and Tobias Mühlenbruch},
journal= {arXiv preprint arXiv:1604.06693},
year = {2018}
}