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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
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
Classical Mechanics III by Prof. Iain Stewart
This lecture note covers Lagrangian and Hamiltonian mechanics, systems with constraints, rigid body dynamics, vibrations, central forces, Hamilton-Jacobi theory, action-angle variables, perturbation theory, and continuous systems. It provides an introduction to ideal and viscous fluid mechanics, including turbulence, as well as an introduction to nonlinear dynamics, including chaos.
Author(s): Prof. Iain W. Stewart
NA Pages
Classical Mechanics II by Joel Franklin
This note covers the following topics: Lagrangian, metric and coordinates, Legendre transform and the Hamiltonian, Canonical transformations, Tensor transformation and the derivative, Parallel transport on a sphere, Infinitesimal transformations, Newtonian gravity, The Riemann tensor and curvature, Matter coupling and variation, Linearized gravity and metric interpretation, Schwarzschild geodesics.
Author(s): Joel Franklin
NA Pages
Classical Mechanics by Charles B. Thorn
This book explains the following topics: Hamilton’s Principle of Least Action, Conservation Laws and Symmetries of the Lagrangian, Solving the Equations of Motion, Scattering Processes, Small Oscillations, Rigid body motion and Hamiltonian Formulation of Mechanics.
Author(s): Charles B. Thorn
76 Pages
Classical Mechanics An introductory course
This note covers the following topics: Motion in 1 dimension, Motion in 3 dimension, Newton's laws of motion, Conservation of energy, Circular motion, Rotational motion, Angular momentum, Statics, Oscillatory motion and Orbital motion.
Author(s): Richard Fitzpatrick, University of Texas at Austin
NA Pages
Classical Mechanics An introductory course (PDF 297p)
This note covers the following topics: Motion in 1 dimension, Motion in 3 dimension, Conservation of energy, Newton's laws of motion, Conservation of momentum, Circular motion, Rotational motion, Angular momentum, Statics, Oscillatory motion, Orbital motion and Wave motion.
Author(s): Richard Fitzpatrick, University of Texas at Austin
297 Pages
Classical Mechanics (Joel A. Shapiro PDF 252p)
This note covers the following topics: Particle Kinematics, Lagrange’s and Hamilton’s Equations, Two Body Central Forces, Rigid Body Motion, Small Oscillations, Hamilton’s Equations, Perturbation Theory and Field Theory.
Author(s): Joel A. Shapiro
252 Pages
This note covers the following topics: Centres of Mass, Moment of Inertia, Systems of Particles, Rigid Body Rotation, Collisions, Motion in a Resisting Medium, Projectiles, Conservative Forces, Rocket Motion, Simple and Damped Oscillatory Motion, Forced Oscillations, Lagrangian Mechanics, Hydrostatics, The Cycloid, Central Forces and Equivalent Potential, Vibrating Systems and Dimensions.
Author(s): Dr. J. B. Tatum
NA Pages
Lectures on Classical Mechanics [PDF 76p]
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Lecture Notes for Classical Mechanics [PDF 14p]
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Classical Mechanics Class Notes
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Classical Mechanics Course Material
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