Variational reproducing kernel Hilbert space (RKHS) grid method for quantum mechanical bound-state problems

摘要

An efficient grid-based method is presented for numerically solving the bound-state Schrodinger equation. The method is based on utilizing the reproducing kernel Hilbert space technique to accurately interpolate between grid points for wavefunctions. A reproducing kernel of simple form for solving bound-state problems is introduced in terms of an appropriate Green's function, in conjunction with a simple and effective procedure for sampling unevenly spaced grid points. Numerical tests made on two model potentials demonstrate that the method can offer accurate results. (C) 1998 Elsevier Science B.V. All rights reserved. [References: 27]