Lagrange-mesh calculations and Fourier transform

Details Lagrange-mesh calculations and Fourier transform Lagrange-mesh calculations and Fourier transform

2011-06-15

arxiv.org/abs/1106.2953v1

Phys. Rev. E 84, 036705 (2011)

Physics

Computational Physics

Scientific paper

10.1103/PhysRevE.84.036705

The Lagrange-mesh method is a very accurate procedure to compute eigenvalues and eigenfunctions of a two-body quantum equation. The method requires only the evaluation of the potential at some mesh points in the configuration space. It is shown that the eigenfunctions can be easily computed in the momentum space by a Fourier transform using the properties of the basis functions. Observables in this space can also be easily obtained.

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