Variational Principle Techniques and the Propertiesof a Cut-off and Anharmonic Wave Function
A. N. Ikot,1,2L. E. Akpabio,1,2K. Essien,1,2E. E. Ituen,1,2and I. B. Obot2
Received23 Mar 2008
Revised19 May 2008
Accepted10 Jul 2008
Abstract
The variational principles are very useful analytical tool for the study of the ground state energy of any dynamical system. In this work, we have evaluated the method and techniques of variational principle to derive the ground state energy for the harmonic, cut-off and anharmonic oscillators with a ground state wave function for a one-body Hamiltonian in three dimensions.
