Publication Date
July 2005
Abstract
In this report the problem of solving the Schrödinger equation for an anharmonic potential is treated using the technique known as the linear delta expansion. The method works by identifying three different scales in the problem: an asymptotic scale, which depends uniquely on the form of the potential at large distances; an intermediate scale, still characterized by an exponential decay of the wavefunction; and, finally, a short distance scale, in which the wavefunction is sizable. The method is found to be suitable to obtain both energy eigenvalues and wavefunctions.