薛定谔形式中的宇宙流体动力学
Cosmological fluid dynamics in the Schrödinger formalism
摘要：
我们研究宇宙学暗物质流体的薛定谔公式的动力学，寻求评估的方法作为一个潜在的工具，理论家。我们发现简单的波动力学解的方程的宇宙均匀背景演化的暗物质字段，并使用它们来获得一个分段的解析解的演化补偿球形过密度。我们从“量子力学”的观点分析了这个解，并建立了波函数所满足的正确的边界条件。利用多粒子量子力学的方法，建立了多流体系统的演化方程，并进行了数值求解。我们的研究结果建立了薛定谔公式的可行性，作为一个真正的替代标准方法在某些情况下，和一种新的方式来模拟多种流体。
英文摘要：
We investigate the dynamics of a cosmological dark matter fluid in the Schrödinger formulation, seeking to evaluate the approach as a potential tool for theorists. We find simple wave-mechanical solutions of the equations for the cosmological homogeneous background evolution of the dark matter field, and use them to obtain a piecewise analytic solution for the evolution of a compensated spherical overdensity. We analyse this solution from a `quantum mechanical' viewpoint, and establish the correct boundary conditions satisfied by the wavefunction. Using techniques from multi-particle quantum mechanics, we establish the equations governing the evolution of multiple fluids and then solve them numerically in such a system. Our results establish the viability of the Schrödinger formulation as a genuine alternative to standard methods in certain contexts, and a novel way to model multiple fluids.
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