基于微宏二重性的测量放大过程统一方案--以施特恩-格拉赫实验为例
A Unified Scheme of Measurement and Amplification Processes based on Micro-Macro Duality -- Stern-Gerlach experiment as a typical example
摘要：
本文在微观-宏观对偶性的基础上，给出了量子测量过程的统一方案，作为量子-经典对应一般思想的数学表达。在这个公式中，我们可以自然地将探针系统的微观端处的量子态变化放大到测量指针的宏观可见运动中所必需的放大过程容纳。它的本质是例证和检查的具体模型的施特恩-格拉赫实验的自旋测量，在那里的Helgason对偶控制的Radon变换被认为是起着至关重要的作用。
英文摘要：
A unified scheme for quantum measurement processes is formulated on the basis of Micro-Macro duality as a mathematical expression of the general idea of quantum-classical correspondence. In this formulation, we can naturally accommodate the amplification processes necessary for magnifying quantum state changes at the microscopic end of the probe system into the macroscopically visible motion of the measuring pointer. Its essence is exemplified and examined in the concrete model of the Stern-Gerlach experiment for spin measurement, where the Helgason duality controlling the Radon transform is seen to play essential roles.
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