  We develop the continuous matrix-product states approach for description of
inhomogeneous one-dimensional quantum systems with long-range interactions. The
method is applied to the exactly-solvable Calogero-Moser model. We show the
high accuracy of reproducing the ground-state properties of the many-body
system and discuss potential errors that can originate from the approximation
of the nonlocal interaction potentials with singularities.
