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Fundamentals of Particle Beam Dynamics and Phase Space
Representation of a Particle Beam
51 other sections not shown
amplitude angle approximation axial bandwidth beam current beam pipe beam position monitor beamline betatron betatron oscillations bunch length calculated canonical transformation cavity coefficients components Conf constant coordinates coupling damping defined density dependence derivatives detector device differential algebraic diffraction dipole discussed dispersion displacement effect electron beam emittance factor feedback system Fermilab Figure function given by Eq Hamilton's equations Hamiltonian harmonic High Energy horizontal input instability integral kick kicker lattice Lie transformations linac linear longitudinal impedance loop magnetic field matrix measurement mode momentum nonlinear NSLS Nucl obtain one-turn operation optical output parameters Particle Accelerator phase plane phase space phase-lock loop photon Physics pickup plane Poisson bracket problem Proc quadrupole radius resonance result shown in Fig signal stochastic cooling storage ring stripline symplectic synchronous synchrotron radiation Taylor map theorem tracking transverse tune variables velocity vertical wave wavelength wiggler X-ray zero