论文标题
经典和量子理论的测量
The measurement in classical and quantum theory
论文作者
论文摘要
Bohigas-Giannoni-Schmit（BGS）猜想指出，可以通过高斯合奏中的随机矩阵对经典混沌系统的显微镜类似物的哈密顿式类似物进行建模。在这里，在古典和量子力学之间最近发现的几何关系的背景下，考虑了这种猜想。由BGS的促使，我们猜想是一个系统的同行进行随机行走的系统的哈密致力于，可以由高斯单位合奏的独立随机矩阵家族进行建模。通过接受这种猜想，我们发现经典物理和量子物理学的观察过程之间存在关系，从而得出了观察的不可逆性，并描述了微观世界和宏观世界之间的边界。
The Bohigas-Giannoni-Schmit (BGS) conjecture states that the Hamiltonian of a microscopic analogue of a classical chaotic system can be modeled by a random matrix from a Gaussian ensemble. Here, this conjecture is considered in the context of a recently discovered geometric relationship between classical and quantum mechanics. Motivated by BGS, we conjecture that the Hamiltonian of a system whose classical counterpart performs a random walk can be modeled by a family of independent random matrices from the Gaussian unitary ensemble. By accepting this conjecture, we find a relationship between the process of observation in classical and quantum physics, derive irreversibility of observation and describe the boundary between the micro and macro worlds.
