  The Lagrange-mesh method is a powerful method to solve eigenequations written
in configuration space. It is very easy to implement and very accurate. Using a
Gauss quadrature rule, the method requires only the evaluation of the potential
at some mesh points. The eigenfunctions are expanded in terms of regularized
Lagrange functions which vanish at all mesh points except one. It is shown that
this method can be adapted to solve eigenequations written in momentum space,
keeping the convenience and the accuracy of the original technique. In
particular, the kinetic operator is a diagonal matrix. Observables in both
configuration space and momentum space can also be easily computed with a good
accuracy using only eigenfunctions computed in the momentum space. The method
is tested with Gaussian and Yukawa potentials, requiring respectively a small
or a great mesh to reach convergence.
