量子大反弹作为迷你超空间中RQM的现象学
Quantum Big-Bounce as a phenomenology of RQM in the Mini-superspace
AI总结：
本文在各向同性宇宙中研究由自相互作用标量场驱动的量子大反弹，将Wheeler-DeWitt方程类比为相对论量子系统，并采用真正微扰势，发现反弹概率振幅在宇宙最小体积的准经典条件处达到极大值。
摘要：
我们研究在一个各向同性宇宙背景下量子大反弹的出现，该宇宙由一种自相互作用标量场填充，该标量场扮演物理时钟的角色。这种反弹宇宙学是一个散射过程的结果，由标量场势驱动，该势的存在打破了Wheeler-DeWitt方程的频率分离，该方程被严格类比于一个相对论量子系统来处理。与以往的分析不同，我们考虑一个真正的微扰自相互作用势，它在由标量时钟标记的有限时间范围内影响动力学（特别是我们移除了先前允许的发散特性）。本分析的主要结果是，当相对论量子力学形式体系在迷你超空间类比中被恰当地实现时，反弹的概率振幅在标准情形和聚合物化情形下，都以宇宙最小体积的准经典条件对应处的一个极大值为特征。
英文摘要：
We investigate the emergence of a quantum Big-Bounce in the context of an isotropic Universe, filled by a self-interacting scalar field, which plays the role of a physical clock. The bouncing cosmology is the result of a scattering process, driven by the scalar field potential, which presence breaks down the frequency separation of the Wheeler-DeWitt equation, treated in strict analogy to a relativistic quantum system. Differently from previous analyses, we consider a really perturbative self-interaction potential, affecting the dynamics in a finite range of the time labeled by the scalar clock (and in particular we remove the divergent character previously allowed). The main result of the present analysis is that, when the Relativistic Quantum Mechanics formalism is properly implemented in the Mini-superspace analogy, the probability amplitude for the bounce is, both in the standard and polymerized case, characterized by a maximum in correspondence of the quasi-classical condition of a Universe minimum volume.
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。
