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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 
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
Classical Mechanics by Joachim Brod
This note exlains Newtonian remarks, Oscillations, Gravitation, Variational calculus, Lagrangian and hamiltonian mechanics, Central force motion, Systems of particles, Motion in a noninertial reference frame, Dynamics of rigid bodies and small oscillations.
Author(s): University of Cincinnati
130 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 Julio Gea Banacloche
This is a “minimalist” textbook for a first semester of university, calculus-based physics, covering classical mechanics, plus a brief introduction to thermodynamics. Topics covered includes: Acceleration, Momentum and Inertia, Kinetic Energy, Interactions and energy, Interactions, Forces, Impulse, Work and Power, Motion in two dimensions, Rotational dynamics, Gravity, Simple harmonic motion, Waves in one dimension, Thermodynamics.
Author(s): Julio Gea-Banacloche
NA Pages
Notes for Classical Mechanics, Govind S. Krishnaswami
This note explains the following topics: Newtonian and Lagrangian mechanics of point particles, Hamiltonian formalism of mechanics, Canonical transformations, Rigid body mechanics, Dynamics of continuous media/deformable bodies: Lagrangian and Eulerian descriptions, Vibrations of a stretched string.
Author(s): Govind S. Krishnaswami
64 Pages