Numerical Calculation of Ground-State Energies for the Gaussian Double-Well Potential Problem via Perturbation and Shooting Method
Sawanee Tasasungkin · 2007
This project aims at computing ground-state energy eigenvalues and wave functions of a particle under Gaussian double-well potential using 1-order Brillouin-Wigner Perturbation Theory (BWPT) and Shooting Method, a method to deal with discrete-eigenvalue problems. The computing effiency relies on programming techniques and the computer itself. For accuracy, it depends on appropriate length of intervals, grid-width and initial conditions. The results from Shooting Methods are compared with the 1-order P.T. eigenvalues in order to show quantitative differences between them.