Radiation Damping and Quantum Excitation for Longitudinal Charged Particle Dynamics in the Thermal Wave Model

Abstract

On the basis of the recently proposed {\it Thermal Wave Model (TWM) for particle beams}, we give a description of the longitudinal charge particle dynamics in circular accelerating machines by taking into account both radiation damping and quantum excitation (stochastic effect), in presence of a RF potential well. The longitudinal dynamics is governed by a 1-D Schrödinger-like equation for a complex wave function whose squared modulus gives the longitudinal bunch density profile. In this framework, the appropriate {\it r.m.s. emittance} scaling law, due to the damping effect, is naturally recovered, and the asymptotic equilibrium condition for the bunch length, due to the competition between quantum excitation (QE) and radiation damping (RD), is found. This result opens the possibility to apply the TWM, already tested for protons, to electrons, for which QE and RD are very important.

10 pages, plain LaTeX; published in Phys. Lett. A194 (1994) 113-118

Cited by in corpus (7)

• Stochastic collective dynamics of charged--particle beams in the stability regime
• Coherent States for Particle Beams in the Thermal Wave Model
• Wave theories of non-laminar charged particle beams: from quantum to thermal regime
• Levy-Student Distributions for Halos in Accelerator Beams
• Semiclassical Aspects of Quantum Mechanics by Classical Fluctuations
• Formation and stability of a hollow electron beam in the presence of a plasma wake field driven by an ultra-short electron bunch
• Classical and Quantum-like approaches to Charged-Particle Fluids in a Quadrupole