Mathematics

001 Introduction to Quantum Mechanics, Probability Amplitudes and Quantum States

002 Dirac Notation and the Energy Representation

003 Operators and Measurement

004 Commutators and Time Evolution (the Time Dependent Schrodinger Equation)

005 Further TDSE and the Position Representation

006 Wavefunctions for Well Defined Momentum

007 Back to Two-Slit Interference, Generalization to Three Dimensions and the Virial Theorem

008 The Harmonic Oscillator and the Wavefunctions of its Stationary States

009 Dynamics of Oscillators and the Anharmonic Oscillator

010 Transformation of Kets, Continuous and Discrete Transformations and the Rotation Operator

011 Transformation of Operators and the Parity Operator

012 Angular Momentum and Motion in a Magnetic Field

013 Hilary: The Square Well

014 A Pair of Square Wells and the Ammonia Maser

015 Tunnelling and Radioactive Decay

016 Composite Systems - Entanglement and Operators

017 Einstein-Podolski-Rosen Experiment and Bell's Inequality

018 Angular Momentum

019 Diatomic Molecules and Orbital Angular Momentum

020 Further Orbital Angular Momentum, Spectra of L2 and LZ

021 Even further Orbital Angular Momentum - Eigenfunctions, Parity and Kinetic Energy

022 Spin Angular Momentum

023 Spin 1/2 , Stern - Gerlach Experiment and Spin 1

024 Classical Spin and Addition of Angular Momenta

025 Hydrogen part 1

026 Hydrogen part 2 Emission Spectra

027 Hydrogen part 3 Eigenfunctions

Computation and the Future of Mathematics