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Introduction
Quantum Mechanics:
A graduate level course
Richard Fitzpatrick
Associate Professor of Physics
The University of Texas at Austin
Introduction
Major sources
Fundamental concepts
The breakdown of classical physics
The polarization of photons
The fundamental principles of quantum mechanics
Ket space
Bra space
Operators
The outer product
Eigenvalues and eigenvectors
Observables
Measurements
Expectation values
Degeneracy
Compatible observables
The uncertainty relation
Continuous spectra
Position and momentum
Introduction
Poisson brackets
Wave-functions
Schrödinger's representation - I
Schrödinger's representation - II
The momentum representation
The uncertainty relation
Displacement operators
Quantum dynamics
Schrödinger's equations of motion
Heisenberg's equations of motion
Ehrenfest's theorem
Schrödinger's wave-equation
Angular momentum
Orbital angular momentum
Eigenvalues of angular momentum
Rotation operators
Eigenfunctions of orbital angular momentum
Motion in a central field
Energy levels of the hydrogen atom
Spin angular momentum
Wave-function of a spin one-half particle
Rotation operators in spin space
Magnetic moments
Spin precession
Pauli two-component formalism
Spin greater than one-half systems
Addition of angular momentum
Approximation methods
Introduction
The two-state system
Non-degenerate perturbation theory
The quadratic Stark effect
Degenerate perturbation theory
The linear Stark effect
Fine structure
The Zeeman effect
Time-dependent perturbation theory
The two-state system
Spin magnetic resonance
The Dyson series
Constant perturbations
Harmonic perturbations
Absorption and stimulated emission of radiation
The electric dipole approximation
Energy-shifts and decay-widths
Scattering theory
Introduction
The Lipmann-Schwinger equation
The Born approximation
Partial waves
The optical theorem
Determination of phase-shifts
Hard sphere scattering
Low energy scattering
Resonances
About this document ...
Richard Fitzpatrick 2006-02-16
