


Lagrangian and Hamiltonian Mechanics, PH3073, @StAndrews
 Course Outline and Lecture Notes
Chapter1:
Equations of Motion 
 The Principle of Least Action
 EulerLagrange Equations
 Connection to Newtonian Mechanics
 General Properties of the Action
 Galilean Invariance

Chapter2:
Conservation Laws

 Energy
 Momentum
 Angular Momentum
 Center of Mass
 Symmetries and Conservation Laws

Chapter3:
Integration of Equations of Motion

 Onedimensional Motion
 Twobody Problem in 3D
 Kepler Problem / Planetary Motion
 Elastic Scattering by Central Forces

Chapter4(a), Chapter4(b) :
Canonical Formalism

 HamiltonJacobi Theory
 Relationship to Quantum Mechanics
 Hamilton's Equations
 Canonical Transformations
 Poisson Brackets
 Liouville's Theorem

 Books recommended as core/background reading
 Mechanics: Volume 1 (Course of Theoretical Physics), L. D. Landau and E.M. Lifshitz, ButterworthHeinemann
Very nice book and inexpensive!
 Theoretical Mechanics of Particles and Continua, John Dirk Walecka, Alexander L. Fetter, Dover Publications Inc.
My personal favorite. Used to be very expensive but now availabe at Dover.
 Classical Mechanics, Herbert Goldstein, Charles P. Poole Jr., John L. Safko, Pearson Education



