A Coherent Understanding of Solvable Models for Quantum Measurement Processes
Hiromichi Nakazato, Saverio Pascazio
By making use of Schwinger’s oscillator model of angular momentum, we put forward an interesting connection among three solvable Hamiltonians, widely used for discussions on the quantum measurement problem. This connection implies that a particular macroscopic limit has to be taken for these models to be physically sensible. PACS: 03.65.Fd; 03.80.+r; 42.52.+x; 03,65.BzThe quantum measurement problem [1] [2] has been a central issue in the foundations and interpretation of quantum mechanics, and is profoundly related to the investigation of the internal consistency of quantum theory. In order to find a resolution within the quantum mechanical framework, one usually describes a quantum measurement process in the following way: An elementary particle Q, on which the measurement is performed, interacts with a detection system D, which is considered to be made up of N elementary constituents. Generally, it is not easy to handle such a complicated system like Q + D, however, it is also true that several solvable models of measurement processes are now at hand. Among these are the Cini [3] and Coleman-Hepp [4] Hamiltonians and its modified version [5], which were all proposed
•Jan 1, 1993•5 citations