Linear Beam Dynamics

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Related lectures (27)

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Linear Dynamics: Hamiltonians and Machine Elements

Explores Hamiltonians for machine elements, focusing on drift space, magnets, and linear maps.

Collective Effects: Basics and Mitigation

Explores collective effects in accelerators, discussing instabilities, mitigation techniques, and impedance reduction.

Accelerator Technology and Instrumentation

Explores advanced concepts in particle accelerators, including magnets, novel techniques, instrumentation, optimization, diagnostics, safety measures, storage rings, and synchrotron light monitors.

Linear Beam Dynamics

Explores particle accelerator dynamics, transfer maps, Hamiltonian equations, and phase space conservation.

Kinetic Theory: Distribution Function Evolution

Explores the evolution of the distribution function describing particles in phase space.

Non-linear dynamics: phenomenology, tools and methods

Explores Hamiltonian and Lagrangian formulations, canonical variables, Lie operators, and their applications in beam dynamics and nonlinear systems.

Analytical Mechanics: Lagrange Formalism

Covers the limitations of Lagrange formalism and the transition to Hamiltonian formalism for dynamic variables.

Overview of Particle Physics and Rutherford Scattering

Covers the constituents of matter, fundamental forces, the Standard Model, natural units, and particle interaction experiments.

Canonical Transformations in Hamiltonian Mechanics

Explores canonical transformations in Hamiltonian mechanics, emphasizing variable separation in the Hamilton-Jacobi equation.

Beam Dynamics: Orbits and Emittance

Explores reference, design, and closed orbits, as well as emittance and beam size in particle accelerators.