Preface
1. The Lagrangian Formulation of Mechanics
1.01. The Harmonic Oscillator; a New Look at an Old Problem
1.02. A System and its Configuration
1.03. Generalized Coordinates and Velocities
1.04. Kinetic Energy and the Generalized Momenta
1.05. Lagrange's Equations
1.06. Holonomic Constraints
1.07. Electromagnetic Applications
1.08. Hamilton's Principle
2. The Hamiltonian Formulation Of Mechanics
2.01. Hamilton's Equations
2.02. The Hamiltonian as a Constant of the Motion
2.03. Hamiltonian Analysis of the Kepler Problem
2.04. Phase Space
3. Hamilton-Jacobi Theory
3.01. Canonical Transformations
3.02. Hamilton's Principal Function and the Hamilton-Jacobi Equation
3.03. Elementary Properties of Hamilton's Principal Function
3.04. Field Properties of Hamilton's Principal Function in the Context of Forced Motion
3.05. Hamilton's Principal Function and the Concept of Action
4. Waves
4.01. Waves on a String under Tension
4.02. Waves on a String under Tension and Local Restoring Force
4.03. The Superposition of Waves
4.04. Extension to Three Dimensions; Plane Waves
4.05. Quasi-Plane Waves; the Short Wavelength Limit
5. Historical Background of the Quantum Theory
5.01. Isothermal Cavity Radiation
5.02. Enumeration of Electromagnetic Modes; the Rayleigh-Jeans Result
5.03. Planck's Quantum Hypothesis
5.04. The Photoelectric Effect
5.05. Bohr's Explanation of the Hydrogen Spectrum
5.06. The Compton Effect
5.07. The de Broglie Relations and the Davisson-Germer Experiment
6. Wave Mechanics
6.01.
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Mechanics : classical and quantum by T. T. Taylor. ISBN 9781483187341. Published by Pergamon in 2015. Publication and catalogue information, links to buy online and reader comments.
