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.
Quantum physics is a
catch-all term for the ideas, devices and technologies made possible by the
development of quantum mechanics in the early part of the 20th century. This
note concentrates on the ideas behind quantum mechanics itself, but the broader
field of quantum physics encompasses everything from the science of electronic
devices and lasers to the philosophical mysteries of quantum measurement
theory.
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.
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.