对于“包含在连续谱量子体系中的决定论性”一文的讨论

A DISCUSSION ABOUT THE PAPER “DETERMINISTIC PROPERTIES CONTAINER IN QUANTUM SYSTEMS WITH CONTINUOUS SPECTRUM”

对于具有连续能谱的单粒子量子体系 ,“包含在连续谱量子体系中的决定论性”一文用所谓“双波函数”来描述处于能量本征态的粒子系综中各粒子的量子行为 ,并且在所谓的“等价定理”中称 :双波函数描述在经典极限下将化为经典力学描述 .然而 ,此描述所给出的系综力学量观测值统计分布的预言与通常量子力学不相容 ;并且 ,该文对其“等价定理”的证明是不正确的 ,这个“定理”

For a single particle system with continuous energy spectrum, the paper 'Deterministic Properties Contained in Quantum Systems with Continuous Spectrum' uses the 'double wave functions' to describe the quantum behavior of each particle in the ensemble staying in an energy eigenstate. And the 'equivalence theorem' in the paper points out that the double wave description will become the classical mechanics description in the classical limit. However, the statistical distribution of results of measurement of a physical quantity predicted by the double wave description for the ensemble is very different from that predicted by the usual quantum mechanics. And the proof given in the paper for the 'equivalence theorem' is incorrect. Actually, this theorem is not true.