Accession Number : AD0695799

Title :   DIFFICULTY AND POSSIBILITY OF KINETIC THEORY OF QUANTUM-MECHANICAL SYSTEMS - SUPPLEMENT: LINEARIZATION OF COVARIANT EQUATIONS FOR A NON-EUCLIDEAN FIELD - DERIVATION AND INTERPRETATION OF THE DIRAC EQUATION AND OF THE MAXWELL-LORENTZ 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 non-linear equations which governs a non-Euclidean tensor field and is covariant in the Riemannean sense, by truncating non-linear 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 Maxwell-Lorentz equations are derived by coarse-graining the same non-linear 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