Symmetries in Classical Physics

Symmetries in Quantum Mechanics

Symmetry Generators

Unitary transformations for continuous symmetries

Rotations and Euler angles

Time dependent perturbation theory

Fermi’s golden rule

Selection rules and finite lifetime of excited states

Charged particles in electromagnetic fields

Gauge transformations and gauge invariance

Charged particles in homogeneous magnetic fields

Spin and the Pauli Schrodinger equation

Introduction to relativistic quantum mechanics and the Klein Gordon equation

Relativistic notation and Lorentz invariance

Probability currents and the Klein-Gordon equation with potentials

The Klein paradox and central potentials

The Dirac equation

Conserved quantities and free particle solutions

Equations