Locality Principle in Wave-Mechanics (Wave Mechanics/Local Density of States/Local Partition Function/Cluster Methods/Moment Methods/Path Integral Methods).

Abstract

This paper proves a locality principle for a wave-mechanical particle governed by the Schroedinger equation. It is shown that rho(r,Beta), the Laplace transform of the local density of states n(r,E), depends significantly only on the potential V(r') at points r' near r. The effect of changes of V(r') at distant points r' (abs. val. (r' - r) > d) on rho(r,Beta), decay in a Gaussian fashion with a. This result sheds some light on the locality of physical properties of extended systems and provides general support for various local methods of calculation. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1978
Accession Number
ADA060884

Entities

People

  • Avishay Yaniv
  • Walter Kohn

Organizations

  • University of California, San Diego

Tags

DTIC Thesaurus Topics

  • Boundaries
  • California
  • Eigenvalues
  • Eigenvectors
  • Electrons
  • Equations
  • Free Electrons
  • Integrals
  • Mechanics
  • Particles
  • Path Integrals
  • Physical Properties
  • Physics
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Mathematical Modeling and Probability Theory.
  • Plasma Physics / Magnetohydrodynamics
  • Quantum Chemistry