Computational Quantum Mechanics

Dr. Daniel V. Schroeder
Department of Physics
Weber State University

The paradigms of nonrelativistic quantum mechanics are exactly solvable systems like the harmonic oscillator and the hydrogen atom. But we can get a broader and deeper perspective by learning numerical algorithms that can solve whole classes of problems. In this talk I will describe some of the simpler algorithms for finding bound-state energies and scattering probabilities, in one dimension and several. The ability to solve arbitrary multidimensional quantum systems is of practical importance for applications ranging from the helium atom to quantum dots. These types of systems also force us to confront the ubiquity of entangled states and to acknowledge the limitations of classical computation.
Excited State Wave Functions