Open AccessDETERMINISTIC PROPERTIES CONTAINED IN QUANTUM SYSTEMS WITH CONTINUOUS SPECTRUM
Author(s) -
Quanhui Liu
Publication year - 1992
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.41.697
Subject(s) - continuous spectrum , quantum , spectrum (functional analysis) , limit (mathematics) , stationary state , physical system , infinity , statistical physics , statistical mechanics , quantum system , classical limit , quantum statistical mechanics , quantum mechanics , physics , mathematics , mathematical analysis
When a quantum system with continuous spectrum has a definite anergy, ordinary quantum mechanics uses a single continuous stationary state to describe its properties, the expectation values for arbitrary physical quantities are therefore either infinity or zero. In this paper we point out in the form of mathematical theorem that the system possesses new and deterministic results with evident physical meanings. Classical results for the system are the classical limit cases of these results, and the ordinarv expectation values are the statistical cases of our results.