On a non-separable quantum many-particle system on the half-line
Abstract
In this paper we will report on a one-dimensional, non-separable quantum many-particle system introduced in [arXiv:1504.08283,arXiv:1604.06693]. It consists of two (distinguishable) particles moving on the half-line being subjected to two different kinds of two-particle interactions: singular many-particle interactions localised at the origin and a binding-potential leading to a molecular-like state. We will formulate the model precisely, obtaining a well-defined self-adjoint operator (the Hamiltonian of our system) and elaborate on its spectral properties. In addition, we will present possible directions for future research.
Cite
@article{arxiv.1702.05799,
title = {On a non-separable quantum many-particle system on the half-line},
author = {Joachim Kerner and Tobias Mühlenbruch},
journal= {arXiv preprint arXiv:1702.05799},
year = {2018}
}
Comments
Contribution to the proceedings of the conference "Wave dynamics in branched systems and networks: From Nano to Macro scale"