论文标题
随机矩阵：应用于量子悖论
Random matrices: Application to quantum paradoxes
论文作者
论文摘要
最近，构建了N粒子系统的经典空间和经典相空间的几何嵌入到系统状态的空间中，并证明具有物理意义。也就是说，通过将系统的状态限制为状态空间的经典相位空间submanifold，从Schroedinger动力学中恢复了颗粒的牛顿动力学。证明了一系列与嵌入和施罗丁格进化有关的定理，并证明了与随机的哈密顿量相关的演变，并被证明适用于经典和量子力学的测量过程。在这里，这些结果可用于仔细研究主要的量子力学思维实验和悖论，并提供有关倒塌过程和量子力学中宏观机构运动的新见解。
Recently, a geometric embedding of the classical space and classical phase space of an n-particle system into the space of states of the system was constructed and shown to be physically meaningful. Namely, the Newtonian dynamics of the particles was recovered from the Schroedinger dynamics by constraining the state of the system to the classical phase space submanifold of the space of states. A series of theorems related to the embedding and the Schroedinger evolution with a random Hamiltonian was proven and shown to be applicable to the process of measurement in classical and quantum mechanics. Here, these results are applied to have a fresh look at the main quantum-mechanical thought experiments and paradoxes and to provide a new insight into the process of collapse and the motion of macroscopic bodies in quantum mechanics.
