DIFFERENTIAL GEOMETRY AND LAGRANGIAN METHODS IN QUANTUM MECHANICS

Abstract

Contents: Geometry and quantum mechanics Finsler space and classical action The lagrangian and spin Finsler geometry and the calculus of variations The notion of a tangent space and a metric The dual tangent space and the Hamiltonian function (over) The harmonic oscillator as a Finsler space-time manifold

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1960
Accession Number
AD0248665

Entities

People

  • Nathan Grier Iii Parke

Tags

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Differential Geometry
  • Geometry
  • Hamiltonian Functions
  • Mathematics
  • Mechanics
  • Oscillators
  • Quantum Mechanics
  • Quantum Properties
  • Variational Principles

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Mathematical Modeling and Probability Theory.
  • Molecular Photonics/Laser Physics

Technology Areas

  • Quantum Computing
  • Space