  This work develops a new method for computing a finite quantum system's
continuum states and observables by applying a subspace projection (or reduced
basis) method used in model order reduction studies to ``discretize'' the
system's continuous spectrum. The method extracts the continuum physics from
solving Schr\"odinger equations with bound-state-like boundary conditions and
emulates this extraction in the space of the input parameters. This parameter
emulation can readily be adapted to emulate other continuum calculations as
well, e.g., those based on complex energy or Lorentz integral transform
methods. Here, I give an overview of the key aspects of the formalism and some
informative findings from numerical experimentation with two- and three-body
systems, which indicates the non-Hermitian quantum mechanics nature of the
method. A potential connection with (near-)optimal rational approximation
studied in Math literature is also discussed. Further details are provided in a
separate paper.
