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arXiv · 2307.15210

Integrable scattering theory with higher derivative Hamiltonians

Andreas Fring·Bethan Turner
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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.

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Andreas Fring, Bethan Turner. 2023-07-27. Integrable scattering theory with higher derivative Hamiltonians. https://doi.org/10.1140/epjp/s13360-023-04726-3

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