Title
Using the Finite-Difference Approximation and Hamiltonians to solve 1D Quantum Mechanics Problems
Department/School
Physics
Date
5-16-2017
Document Type
Article
Abstract
This set of exercises are an introduction to the finite-difference approximation and its use in solving differential equations. The method is implemented in order to write the Schrödinger equation as a matrix (Hamiltonian). The numerical solution to the one-dimensional infinite well is calculated in order to explore issues of convergence by comparing numeric to analytic solutions. Finally, other one-dimensional problems are included, some of which have exact solutions and some of which can only be solved numerically.
Published in
The PICUP Collection
COinS