A THEOREM ON SPIN-EIGENFUNCTIONS.

Abstract

A theorem is proved to the effect that a wave function for a set of N spins, which is a product of single-spin wave functions and which is an eigenstate of the square of the total spin, must be a state with the maximum possible value of Sz, z being an arbitrary direction. This theorem has been applied in a separate work to show strikingly that the imposition of symmetry restrictions of a common type on an approximate wave function can lead to a very poor physical description.

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Document Details

Document Type
Technical Report
Publication Date
May 24, 1967
Accession Number
AD0652840

Entities

People

  • Thomas A. Kaplan
  • Walter H. Kleiner

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Classification
  • Contracts
  • Eigenvectors
  • Equations
  • Massachusetts
  • Military Forces (United States)
  • Military Organizations
  • Quantum Properties
  • Security
  • Spin States
  • Spin Waves
  • Symmetry
  • Wave Functions

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.