Quantum Physics by Douglas Ross FRS

Introduction To Quantum Physics Lecture Notes

Topics discussed in this pdf include: Introduction, Non-Technical Overview, Mathematical Background, The Foundations of Quantum Theory, Continuous Quantum Systems, The Photoelectric Effect, Motivation, Operations on Complex Numbers, Polar Coordinates and Complex Phases, Complex Vector Spaces, Orthonormal Bases, Matrices and the Adjoint, The Outer Product, The Completeness Relation, Representing Vectors in Different Bases, Change of Basis, Multiplication and Inverse of Matrices, Matrices Inside Inner Products, Eigenvalues and Eigenvectors, Hermitian Matrices, Unitary Matrices, Normal Matrices, Representing Matrices in Different Bases, Diagonalizable Matrices, Random Variables and Probability Distributions, Conditional Probability, Expected Values, Standard Deviation, Dimensionless and Dimensionful Constants, Hermitian Operators and Observables, Probability Amplitudes, Superposition, Summary For Discrete Systems, The Pauli Matrices, Qubits, The Meaning of Superposition, The Tensor Product, Vectors and Matrices in the Composite Hilbert Space, Quantum Entanglement, The Bell States, Entanglement Does Not Transmit Information, The Uncertainty Principle, Simultaneous Diagonalization, Unitary Transformations and Evolution, Quantum Logic Gates, Applications of the Measurement Axiom, Quantum Teleportation, Exponentials and Logarithms, Matrix and Operator Exponentials, Hamiltonians and Energy, A Quick Review of Classical Hamiltonian Mechanics, Canonical Quantization, The Classical Harmonic Oscillator, Quantizing the Harmonic Oscillator, The Energy Eigenstates of the Harmonic Oscillator, The Position Operator, Wavefunctions in the Position Basis, The Momentum Operator, Quantum Interference, Separation of Variables.

Author(s): Barak Shoshany, Department of Physics, University of Toronto

165 Pages

Quantum Physics by Prof. Graeme Ackland

This note covers the following topics: Time-Independent Non-degenerate Perturbation Theory, Dealing with Degeneracy, Degeneracy, Symmetry and Conservation Laws, Time--dependence, Two state systems, Hydrogen ion and Covalent Bonding, The Variational Principle, Indistinguishable Particles and Exchange, Self-consistent field theory, Fundamentals of Quantum Scattering Theory, Scattering in three dimensions, Quantum Scattering Theory, Partial Waves.

Author(s): Prof. Graeme Ackland

NA Pages

Quantum Physics by James G. Branson

An important aspect of the design of this note is to maintain a concise basic treatment of the physics, with derivations and examples available behind hyperlinks. Topics covered includes: The Problems with Classical Physics, Diffraction, Wave Packet, Operators, The Schrodinger Equation, Eigenfunctions, Eigenvalues and Vector Spaces, 3D Problems Separable in Cartesian Coordinates, Hydrogen, 3D Symmetric HO in Spherical Coordinates, Electrons in an Electromagnetic Field, Time Independent Perturbation Theory, Fine Structure in Hydrogen, Atomic Physics, Scattering, Classical Scalar Fields, Quantum Theory of Radiation, Dirac Equation.

Author(s): James G. Branson

548 Pages

Quantum Physics Notes

This note covers 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, General Mathematical Description of a Quantum System, State Spaces of Infinite Dimension, Operations on States, Matrix Representations of State Vectors and Operators, Probability, Expectation Value and Uncertainty, Time Evolution in Quantum Mechanics.

Author(s): J D Cresser

238 Pages