The Simplest Method Ever for Solving the Schrödinger equation for bound states

We have developed a very simple (THE SIMPLEST EVER) method for solving the Schrödinger equation for bound states. The method is completely general, accurate and robust. It is called the Fourier Grid Hamiltonian (FGH) Method. The theory has been published and computer codes have been distributed. Recently codes have been developed for two-dimensional problems. While it is not claimed that this method is the most efficient, its simplicity and transparency recommend it for many applications.

References:

C.C. Marston and G.G. Balint-Kurti, "The Fourier Grid Hamiltonian Method for Bound State Eigenvalues and Eigenfunctions", J. Chem. Phys., 91 , 3571-3576 (1989).

G.G. Balint-Kurti, C.L. Ward and C.C. Marston, "Two Computer Programs for Solving the Schrödinger Equation for Bound State Eigenvalues and Eigenfunctions Using the Fourier Grid Hamiltonian Method". Computer Physics Communications, 67, 285-292 (1991).

G.G. Balint-Kurti, R.N. Dixon and C.C. Marston "Grid Methods for Solving the Schrödinger Equation and Time Dependent Quantum Dynamics of Molecular Photofragmentation and reactive scattering Processes", Internat. Rev. Phys. Chem., 11, 317-344 (1992).

F. Gögtas, G.G. Balint-Kurti and C.C. Marston, " FGHEVEN, a computer code for solving the one dimensional Schrödinger equation" Quantum Chemistry Program Exchange, Program No. 647; published in QCPE Bulletin, 14, 19 (1994).

Jernej Stare and Gabriel G. Balint-Kurti, “The Fourier Grid Hamiltonian Method for solving the vibrational Schrödinger equation in internal coordinates: theory and test applications”, J. Phys., Chem. A, 107, 7204-7214 (2003).