arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv quant-ph/9705042quant-ph
收藏

具有高阶时间导数的随机过程的超对称性

Supersymmetry in Stochastic Processes with Higher-Order Time Derivatives

Hagen Kleinert, Sergei V. Shabanov

摘要:

对于Langevin方程中含有任意N个时间导数的随机过程,给出了一种超对称路径积分表示,从而推广了Kramers研究的带惯性的Langevin方程,其中N=2.超对称作用量包含N个具有一阶时间导数的费米子场,其路径积分被计算为无费米子渐近态。

英文摘要:

A supersymmetric path integral representation is developed for stochastic processes whose Langevin equation contains any number N of time derivatives, thus generalizing the Langevin equation with inertia studied by Kramers, where N=2. The supersymmetric action contains N fermion fields with first-order time derivatives whose path integral is evaluated for fermionless asymptotic states.

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。

↑