Lagrange-mesh calculations in momentum space

Details Lagrange-mesh calculations in momentum space Lagrange-mesh calculations in momentum space

2012-03-07

arxiv.org/abs/1203.1408v1

Physics

Mathematical Physics

Scientific paper

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. 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.

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