Quantum Mechanics

Course 2 of Statistical Thermodynamics presents an introduction to quantum mechanics at a level appropriate for those with mechanical or aerospace engineering backgrounds. Using a postulatory approach that describes the steps to follow, the Schrodinger wave equation is derived and simple solutions obtained that illustrate atomic and molecular structural behavior. More realistic behavior is also explored along with modern quantum chemistry numerical solution methods for solving the wave equation.

• Introduction to quantum mechanics
• Module 1presents an introduction to quantum mechanics at a level appropriate for those with mechanical or aerospace engineering backgrounds. Using a postulatory approach that describes the steps to follow, the Schrodinger wave equation is derived and it is showen that the time dependence can be separated and a stationary wave equation results.
• Simple Solutions of the Wave Equation
• In module 2 we solve the stationary wave equation for several simple systems. These include the particle in a box, the rigid rotator, the harmonic oscillator, and the hydrogenic atom. These simple solutions form the basisi for discussing real atomic and molecular behavior in the next module.
• Real Atomic and Molecular Behavior
• In Module 3 we explore the more realistic behavior of atoms and molecules. We also introduce and discuss numerical methods for solving the wave equation.