Open AccessA DISCUSSION ABOUT THE PAPER “DETERMINISTIC PROPERTIES CONTAINER IN QUANTUM SYSTEMS WITH CONTINUOUS SPECTRUM”
Author(s) -
Liang Fang-Hao
Publication year - 2001
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.50.572
Subject(s) - equivalence (formal languages) , quantum , spectrum (functional analysis) , quantum statistical mechanics , statistical physics , eigenvalues and eigenvectors , energy spectrum , statistical mechanics , open quantum system , quantum mechanics , physics , mathematics , pure mathematics
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.