
Accession Number : AD0695410
Title : DIFFICULTY AND POSSIBILITY OF KINETIC THEORY OF QUANTUMMECHANICAL SYSTEMS,
Corporate Author : POLYTECHNIC INST OF BROOKLYN N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS
Personal Author(s) : Koga,Toyoki
Report Date : MAY 1969
Pagination or Media Count : 53
Abstract : In kinetic theory which intends to treat the evolution, in time and in configuration space, of a system not in thermal equilibrium, it is necessary to consider correlative behaviors of constituent particles or correlations among elementary behaviors of the system. Correlative behaviors are conceivable only when each elementary behavior is distinguishable from the others. In the quantummechanical formalism, first, the uncertainty principle prohibits a particle to follow a completely prescribable path; second, due to the symmetry (bosons) or antisymmetry (fermions) principle, each particle exists at many states, as many as similar particles in a system, at the same time. Therefore, it is impossible to consider kinetic theory as in accordance with the quantummechanical formalism. Nevertheless, evidences of kinetictheoretical processes occurring in quantummechanical systems are pointed out. Also evidences of limited range (in time and in configuration space) of validity of the symmetry or antisymmetry principle are indicated. (Author)
Descriptors : (*QUANTUM THEORY, *KINETIC THEORY), ELEMENTARY PARTICLES, STATISTICAL MECHANICS, FIELD THEORY, UNCERTAINTY
Subject Categories : Quantum Theory and Relativity
Distribution Statement : APPROVED FOR PUBLIC RELEASE