The Laguerre pseudospectral method for the reflection symmetric Hamiltonians on the real line

Taşeli, Hasan
Alici, H.
Hermite-Weber functions provide a natural expansion basis for the numerical treatment of the Schrodinger equation on the whole real line. For the reflection symmetric Hamiltonians, however, it is shown here that the transformation of the problem over the half line and use of a Laguerre basis is computationally much more efficient in a pseudospectral scheme.