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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
185Pages
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
130Pages
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
214Pages
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
139Pages
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
NAPages
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
82Pages
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
96Pages
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
NAPages
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
64Pages
