Integrable scattering theory with higher derivative Hamiltonians
High Energy Physics - Theory
2023-12-22 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We discuss how a standard scattering theory a of multi-particle theory generalises to systems based on Hamiltonians that involve higher-order derivatives in their quantum mechanical formulation. As concrete examples, we consider Hamiltonian systems built from higher-order charges of Calogero and Calogero-Moser systems. Exploiting the integrability of these systems, we compute the classical phase shifts and briefly comment on the quantum versions of these types of theories.
Cite
@article{arxiv.2307.15210,
title = {Integrable scattering theory with higher derivative Hamiltonians},
author = {Andreas Fring and Bethan Turner},
journal= {arXiv preprint arXiv:2307.15210},
year = {2023}
}
Comments
18 pages, 5 figures