This note covers the following topics of Quantum
physics such as Planck's constant, interference, Fermat's principle of least
time, deBroglie wavelength, Thomson atom, Rutherford scattering, Photoelectric
effect, X-rays, Compton scattering, Franck Hertz experiment, Bohr model,
hydrogen spectral lines, Schrödinger equation in one dimension, infinite 1D
well, time evolution of eigenstates, classical limit, Ehrenfest's theorem,
Harmonic oscillator, Angular momentum, simultaneous eigenfunctions, Spherical
harmonics, Entanglement, Einstein-Podolsky Rosen paradox and Hydrogen atom
Author(s):
Prof. Allan Adams, Prof. Matthew Evans and Prof. Barton Zwiebach
The contents of
this pdf note include:Quantum light and the two level system, decaying
two level system, Cavity quantum electrodynamics, Fundamentals of laser theory ,
Cooling of atoms, Cavity optomechanics, Cooling of trapped ions, Collective
effects : super/subradiance, Interaction of light with molecules.
This note covers the
following topics: Classical Physics, Waves, Probability Density, The Ultraviolet
Catastrophe, Bragg X-ray Diffraction, Wave-Particle Duality, Particles and
Fields, Heisenberg’s Uncertainty Principle, Wavefunctions - Schrodinger’s
Equation, Quantum Tunnelling, Quantum States and Superposition, Two State
Systems, Wavefunction Collapse, Interpretations of Quantum Physics,
Probabilistic Determinism.
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.
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.