
doi: 10.2172/5079050 , 10.2172/5868983
Our past research efforts led to the derivation of the adiabatic invariant in spatially varying accelerator structures, to the calculation of the loss of the invariant due to trapping, and to a method for determining transverse invariants using a nonperturbative approach to the Hamilton-Jacobi equation. These research efforts resulted in the training of two graduate students who are now working in the area of accelerator physics.
43 Particle Accelerators, Progress Report, Equations, Beam Dynamics, Lasers, Document Types, Hamilton-Jacobi Equations, Free Electron Lasers, Field Calculations, Differential Equations, Trapping, Adiabatic Invariance, Beam Emittance, & Ion Optics, Partial Differential Equations 430200* -- Particle Accelerators-- Beam Dynamics, Accelerators
43 Particle Accelerators, Progress Report, Equations, Beam Dynamics, Lasers, Document Types, Hamilton-Jacobi Equations, Free Electron Lasers, Field Calculations, Differential Equations, Trapping, Adiabatic Invariance, Beam Emittance, & Ion Optics, Partial Differential Equations 430200* -- Particle Accelerators-- Beam Dynamics, Accelerators
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