Next:
Contents
Contents
Quantum Mechanics:
An intermediate level course
Richard Fitzpatrick
Professor of Physics
The University of Texas at Austin
Contents
Introduction
Intended audience
Major sources
Aim of course
Outline of course
Fundamentals
Probability theory
Introduction
What is probability?
Combining probabilities
The mean, variance, and standard deviation
Continuous probability distributions
Wave-particle duality
Introduction
Classical light-waves
The photoelectric effect
Quantum theory of light
Classical interference of light-waves
Quantum interference of light
Classical particles
Quantum particles
Wave-packets
Evolution of wave-packets
Heisenberg's uncertainty principle
Schrödinger's equation
Collapse of the wave-function
Fundamentals of quantum mechanics
Introduction
Schrödinger's equation
Normalization of the wave-function
Expectation values and variances
Ehrenfest's theorem
Operators
The momentum representation
The uncertainty principle
Eigenstates and eigenvalues
Measurement
Continuous eigenvalues
Stationary states
One-dimensional potentials
Introduction
The infinite potential well
The square potential barrier
The WKB approximation
Cold emission
-decay
The square potential well
The simple harmonic oscillator
Multi-particle systems
Introduction
Fundamental concepts
Non-interacting particles
Two-particle systems
Identical particles
Three-dimensional quantum mechanics
Introduction
Fundamental concepts
Particle in a box
Degenerate electron gases
White-dwarf stars
Orbital angular momentum
Introduction
Angular momentum operators
Representation of angular momentum
Eigenstates of angular momentum
Eigenvalues of
Eigenvalues of
Spherical harmonics
Central potentials
Introduction
Derivation of radial equation
The infinite potential well
The hydrogen atom
The Rydberg formula
Spin angular momentum
Introduction
Spin operators
Spin space
Eigenstates of
and
The Pauli representation
Spin precession
Addition of angular momentum
Introduction
General principles
Angular momentum in the hydrogen atom
Two spin one-half particles
Applications
Time-independent perturbation theory
Introduction
Improved notation
The two-state system
Non-degenerate perturbation theory
The quadratic Stark effect
Degenerate perturbation theory
The linear Stark effect
The fine structure of hydrogen
The Zeeman effect
Hyperfine structure
Time-dependent perturbation theory
Introduction
Preliminary analysis
The two-state system
Spin magnetic resonance
Perturbation expansion
Harmonic perturbations
Electromagnetic radiation
The electric dipole approximation
Spontaneous emission
Radiation from a harmonic oscillator
Selection rules
transitions in hydrogen
Intensity rules
Forbidden transitions
Variational methods
Introduction
The variational principle
The helium atom
The hydrogen molecule ion
Scattering theory
Introduction
Fundamentals
The Born approximation
Partial waves
Determination of phase-shifts
Hard sphere scattering
Low energy scattering
Resonances
About this document ...
Richard Fitzpatrick 2006-12-12
transitions in hydrogen
-decay
and 