A stochastic model for the semiclassical collective dynamics of charged beams in particle accelerators

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dc.creatorDe Martino, Salvatore
dc.creatorDe Siena, Silvio
dc.creatorIlluminati, Fabrizio
dc.date1998-03-25
dc.date.accessioned2026-07-07T05:56:08Z
dc.date.available2026-07-07T05:56:08Z
dc.descriptionA recent proposal (see quant-ph/9803068) to simulate semiclassical corrections to classical dynamics by suitable classical stochastic fluctuations is applied to the specific instance of charged beam dynamics in particle accelerators. The resulting picture is that the collective beam dynamics, at the leading semiclassical order in Planck constant can be described by a particular diffusion process, the Nelson process, which is time-reversal invariant. Its diffusion coefficient $\sqrt{N}λ_{c}$ represents a semiclassical unit of emittance (here $N$ is the number of particles in the beam, and $λ_{c}$ is the Compton wavelength). The stochastic dynamics of the Nelson type can be easily recast in the form of a Schroedinger equation, with the semiclassical unit of emittance replacing Planck constant. Therefore we provide a physical foundation to the several quantum-like models of beam dynamics proposed in recent years. We also briefly touch upon applications of the Nelson and Schroedinger formalisms to incorporate the description of collective coherent effects.
dc.descriptionPlain LaTeX, 12 pages, no figures; to appear in the Proceedings of the International Workshop on "Quantum Aspects of Beam Dynamics", held in Stanford, 4-9 January 1998
dc.identifierhttps://arxiv.org/abs/physics/9803036
dc.identifierhttp://arxiv.org/abs/physics/9803036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/87494
dc.subjectAccelerator Physics
dc.subjectPlasma Physics
dc.titleA stochastic model for the semiclassical collective dynamics of charged beams in particle accelerators
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