arXivDaily arXiv每日学术速递 周一至周五更新
arXiv physics/9803036physics.acc-phphysics.plasm-ph
收藏

粒子加速器中带电束流半经典集体动力学的随机模型

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

Salvatore De Martino, Silvio De Siena, Fabrizio Illuminati

摘要:

最近的建议(见quant-ph/9803068),以模拟半经典修正经典动力学适当的经典随机波动被施加到特定的情况下,在粒子加速器的带电束动力学。由此产生的图像是,集体束动力学,在领先的半经典秩序的普朗克常量可以描述一个特定的扩散过程,纳尔逊过程,这是时间反演不变。它的扩散系数$\sqrt{N}λ_{c}$表示发射度的半经典单位(这里$N$是束中粒子的数量,而$λ_{c}$是康普顿波长)。纳尔逊型的随机动力学可以很容易地用薛定谔方程的形式来描述,用发射度的半经典单位代替普朗克常量。从而为近年来提出的几种束流动力学的类量子模型提供了物理基础。我们还简要地触及纳尔逊和薛定谔形式主义的应用,将集体相干效应的描述。

英文摘要:

A 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑