https://doi.org/10.1140/epjp/s13360-023-04726-3
Regular Article
Integrable scattering theory with higher derivative Hamiltonians
Department of Mathematics, City, University of London, Northampton Square, EC1V 0HB, London, UK
Received:
14
August
2023
Accepted:
21
November
2023
Published online:
19
December
2023
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.
© The Author(s) 2023
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