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