Notes for Classical Mechanics, Govind S. Krishnaswami

Introduction to Classical Mechanics by Salah Nasri

This note exlains the following topics: newtonian mechanics of point like objects, Gravitating bodies, D Alembert principle and euler lagrange equations, Hamiltons principle, Rotating frames, Rotating frames and rigid body, Small oscillations, The hamiltonian formalism, Nonlinear dynamics and chaos.

Author(s): Salah Nasri

185 Pages

Lecture notes on Classical Mechanics and Electromagnetism in Accelerator Physics

The topics in this lecture notes are : Linear and Nonlinear Oscillators, Lagrangian and Hamiltonian equations of motion, Canonical transformations, Liouville’s theorem, Action-angle variables, Coordinate system and Hamiltonian in an accelerator, Equations of motion in accelerator, Action-angle variables for circular machines, Field errors and nonlinear resonances, Resonance overlapping and dynamic aperture, The kinetic equation, Radiation damping effects, Primer in Special Relativity, Selected electrostatic and magnetostatic problems, Self field of a relativistic beam, Effect of environment on electromagnetic field of a beam, Plane electromagnetic waves and Gaussian beams, Radiation and retarded potentials, Scattering of electromagnetic waves, Synchrotron radiation, Undulator radiation, Transition and diffraction radiation, Formation length of radiation and coherent effects, Synchrotron radiation reaction force, Waveguides and RF cavities, Laser acceleration in vacuum. Inverse FEL acceleration.

Author(s): G. Stupakov, The US Particle Accelerator School

214 Pages

Classical Dynamics by Dr David Tong

The contents include: Newton’s Laws of Motion, The Lagrangian Formalism, The Motion of Rigid Bodies , The Hamiltonian Formalism, Introduction to Dynamics, Systems of Particles, Linear Oscillations, Calculus of Variations, Lagrangian Mechanics, Constraints, Central Forces and Orbital Mechanics, Small Oscillations, Elastic Collisions, Noninertial Reference Frames, Rigid Body Motion and Rotational Dynamics, Continuum Mechanics, Special Relativity, Hamiltonian Mechanics.

Author(s): Dr David Tong, University of Cambridge

139 Pages

Classical Mechanics by Sahra Haji

This lecture note explains the following topics: Newtons laws of motion, Scalars and Vector, Units and Dimensions, Time rate of change of vectors, Motion in one dimension, Motion under a constant force, Force of friction, Kinematical relations, Simple Harmonic motion, Motion in a plane, Central force, Rotating frame of reference.

Author(s): Sahra Haji

82 Pages

Classical Mechanics by James Sparks

This note is about the Lagrangian and Hamiltonian formulations of classical mechanics. Topics covered includes: Newtonian mechanics, Lagrangian mechanics, Small oscillations, Rigid body dynamics, Hamiltonian mechanics and Levi-Civita alternating symbol.

Author(s): James Sparks

96 Pages

Graduate Classical Mechanics

This note describes the following topics: The Calculus of Variations, Fermat's Principle of Least Time, Hamilton's Principle and Noether's Theorem, Mechanical Similarity, Hamilton's Equations, Poisson Brackets, A New Expression for the Action, Maupertuis' Principle, Canonical Transformations, Liouville's Theorem, The Hamilton-Jacobi Equation, Adiabatic Invariants and Action-Angle Variables, Mathematics for Orbits, Keplerian Orbits, Elastic Scattering, Small Oscillations, Driven Oscillator, One-Dimensional Crystal Dynamics, Parametric Resonance, The Ponderomotive Force, Resonant Nonlinear Oscillations, Rigid Body Motion, Moments of Inertia, Rigid Body Moving Freely, Euler Angles, Eulers Equations, Non Inertial Frame, Coriolis effect, A Rolling Sphere on a Rotating Plane.

Author(s): Michael Fowler

NA Pages