
Accession Number : AD0695799
Title : DIFFICULTY AND POSSIBILITY OF KINETIC THEORY OF QUANTUMMECHANICAL SYSTEMS  SUPPLEMENT: LINEARIZATION OF COVARIANT EQUATIONS FOR A NONEUCLIDEAN FIELD  DERIVATION AND INTERPRETATION OF THE DIRAC EQUATION AND OF THE MAXWELLLORENTZ EQUATIONS,
Corporate Author : POLYTECHNIC INST OF BROOKLYN FARMINGDALE N Y DEPT OF AEROSPACE ENGINEERING AND APPLIED MECHANICS
Personal Author(s) : Koga,Toyoki
Report Date : JUL 1969
Pagination or Media Count : 40
Abstract : The paper linearizes a set of nonlinear equations which governs a nonEuclidean tensor field and is covariant in the Riemannean sense, by truncating nonlinear effects in terms of mass and charge. The result is equivalent to the Dirac equation. The electronic mass and charge represent derivatives of the metric tensor in a certain manner. It seems possible to attribute the physical peculiarity of wave functions to the effect of this linearization. The MaxwellLorentz equations are derived by coarsegraining the same nonlinear equations for a group of electrons. (Author)
Descriptors : (*QUANTUM THEORY, *KINETIC THEORY), FIELD THEORY, TENSOR ANALYSIS, WAVE FUNCTIONS
Subject Categories : Quantum Theory and Relativity
Distribution Statement : APPROVED FOR PUBLIC RELEASE