论文标题

非定位理论中的时间依赖潜力的共振粒子产生

Resonant particle creation by a time-dependent potential in a nonlocal theory

论文作者

Boos, Jens, Frolov, Valeri P., Zelnikov, Andrei

论文摘要

考虑到标量场与$δ$形的时间相关电位相互作用的准确解决的局部量子理论,我们通过分析计算Bogoliubov系数,并确定创建粒子的光谱。然后,我们将展示这些考虑因素如何概括为特定的非本地“无限衍生”量子理论,会受到非局部性的存在的影响。在此模型中,非局部性导致某些模式的显着谐振扩增,不仅在粒子谱中,而且在创建粒子的总数密度中留下了印记。

Considering an exactly solvable local quantum theory of a scalar field interacting with a $δ$-shaped time-dependent potential we calculate the Bogoliubov coefficients analytically and determine the spectrum of created particles. We then show how these considerations, when suitably generalized to a specific nonlocal "infinite-derivative" quantum theory, are impacted by the presence of nonlocality. In this model, nonlocality leads to a significant resonant amplification of certain modes, leaving its imprint not only in the particle spectrum but also in the total number density of created particles.

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