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,

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)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1969
Accession Number
AD0695799

Entities

People

  • Toyoki Koga

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Dirac Equation
  • Electrons
  • Equations
  • Kinetic Theory
  • Mathematics
  • Partial Differential Equations
  • Wave Equations
  • Wave Functions

Readers

  • Calculus or Mathematical Analysis
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Microelectronics
  • Microelectronics - Graphene
  • Quantum Computing