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A Euclidean formulation of relativistic quantum mechanics is discussed.Representations of the Hilbert space inner product and Poincar\'e generatorsare all expressed in terms of Euclidean space-time variables. The formulationdoes not require analytic continuation and can be used to directly calculatescattering observables. A toy model is used to demonstrate the feasibility ofperforming scattering calculations using the suggested computational methods.

Scattering in a Euclidean formulation of relativistic quantum mechanics