Abstract

• Gram-Schmidt procedure for orthogonalizing vectors or functions is well known. But it is not straight forward to orthogonalize a large set of vectors or functions. We show how this can be accomplished by starting with a set of non-orthogonal set of basis functions. Once orthogonalized, they are normalized so that we have an ortho-normal set of functions. In order to test our functions, they are used as the basis set in expanding the wavefunction of a bound state Schrodinger equation with a specific potential. For test potentials, we use the harmonic oscillator potential and linear potential. The eigen energies and wavefunctions obtained are compared with analytical results for harmonic oscillator potential. For the linear potential, we compare with the standard numerical results. We also compare with the results obtained by using some known ortho-normal basis set of functions.