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Integrable scattering theory with higher derivative Hamiltonians (2307.15210v1)
Published 27 Jul 2023 in hep-th, math-ph, math.MP, and nlin.SI
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.