Variational Sturmian Approximation: A nonperturbative method of solving time-independent Schrödinger equation
arXiv:quant-ph/0105047 · doi:10.1063/1.1385374
Abstract
A variationally improved Sturmian approximation for solving time-independent Schrödinger equation is developed. This approximation is used to obtain the energy levels of a quartic anharmonic oscillator, a quartic potential, and a Gaussian potential. The results are compared with those of the perturbation theory, the WKB approximation, and the accurate numerical values.
Accepted for publication in J. Math. Phys., 18 pages