Introduction to quantum mechanics
How quantum mechanics is important in the everyday world, the bizarre aspects and continuing evolution of quantum mechanics, and how we need it for engineering much of modern technology.
Schroedinger’s wave equation
Getting to Schroedinger’s wave equation. Key ideas in using quantum mechanical waves — probability densities, linearity. The "two slit" experiment and its paradoxes.
Getting "quantum" behavior
The "particle in a box", eigenvalues and eigenfunctions. Mathematics of quantum mechanical waves.
Quantum mechanics of systems that change in time
Time variation by superposition of wave functions. The harmonic oscillator. Movement in quantum mechanics — wave packets, group velocity and particle current.
Measurement in quantum mechanics
Operators in quantum mechanics — the quantum-mechanical Hamiltonian. Measurement and its paradoxes — the Stern-Gerlach experiment.
Writing down quantum mechanics simply
A simple general way of looking at the mathematics of quantum mechanics — functions, operators, matrices and Dirac notation. Operators and measurable quantities. The uncertainty principle.
The hydrogen atom
Angular momentum in quantum mechanics — atomic orbitals. Quantum mechanics with more than one particle. Solving for the the hydrogen atom. Nature of the states of atoms.
How to solve real problems
Approximation methods in quantum mechanics.