This note introduces Quantum Mechanics at an advanced level
addressing students of Physics, Mathematics, Chemistry and Electrical
Engineering. It covers the following topics: Lagrangian Mechanics, Quantum
Mechanical Path Integral, The Schr¨odinger Equation, Linear Harmonic
Oscillator, Theory of Angular Momentum and Spin, Quantum Mechanical Addition
of Angular Momenta and Spin, Motion in Spherically Symmetric Potentials,
Interaction of Charged Particles with Electromagnetic Radiation,
Many–Particle Systems, Relativistic Quantum Mechanics, Spinor Formulation of
Relativistic Quantum Mechanics and Symmetries in Physics.

This note explains the following topics:
The Classical State, Historical Origins of Quantum Mechanics, The Wave-like
Behaviour of Electrons, Energy and Uncertainty, Quantum State, Operators and
Observations, Rectangular Potentials, The Harmonic Oscillator, Spectrum of
Angular Momentum, Aspects of Spin, Electron Spin, Approximation Methods, Quantum
Mechanics as Linear Algebra, Feynman Path-Integral Quantization.

This lecture note explains the
following topics: The Early History of Quantum Mechanics, The Wave Function, The
Two Slit Experiment, Wave Mechanics, Particle Spin and the Stern-Gerlach
Experiment, Probability Amplitudes, Vector Spaces in Quantum Mechanics, State
Spaces of Infinite Dimension, Matrix Representations of State Vectors and
Operators, Probability, Expectation Value and Uncertainty, Time Evolution in
Quantum Mechanics.

This
note covers the following topics: Special Relativity, Basic Quantum
Mechanics, Single-Particle Systems, Multiple-Particle Systems, Time Evolution,
Basic and Quantum Thermodynamics, Angular momentum and Electromagnetism.

This note covers the following topics related to Quantum Mechanics: Mathematical foundations of Quantum mechanics, Hilbert Spaces, The Spectral
Theorem, Quantum dynamics and Schrodinger Operators.

This
note covers the following topics: Introduction to Superposition,
Experimental Facts of Life, The Wave Function, Expectations, Momentum, and
Uncertainty , Operators and the Schrödinger Equation, Time Evolution and the
Schrödinger Equation, Energy Eigenstates and Quantum Harmonic Oscillator.

Author(s): Prof. Allan Adams, Prof. Matthew Evans and Prof. Barton
Zwiebach