This preview shows page 1. Sign up to view the full content.
Unformatted text preview: to the exact result (in the case of the harmonic potential) or (in the case of the quartic potential) the result you obtained from the basis set expansion in the previous assignment? You may observe that the ground state energy from the present singleparameter trial function is comparable in accuracy to the result you obtained with several basis functions in the basis set calculation. Since the basis set calculation was an application of the RayleighRitz variational method, both results are based on the variational method. As you can see, the present nonlinear trial function converges more efficiently than the linear RayleighRitz expansion. What can you say about the wavefunction that minimizes the energy?...
View Full
Document
 Fall '08
 Mccall

Click to edit the document details