EXTREMUM PRINCIPLES FOR THE EQUATION DEL SQUARED PHI = PHI - (PHI CUBED).

Abstract

The Lagrangian functional G(phi) = the integral of ((1/2)phi(-(del squared)+1)phi -(1/4)(phi to the 4th power))dr is shown to be an upper bound for G(phi sub 0), where phi sub 0 is the ground-state eigen-function of -(del squared)phi + phi - (phi cubed) = 0, provided that G(phi) is stationary with respect to amplitude or scale variations in phi. Complementary functionals are also shown to provide upper bounds. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0707798

Entities

People

  • Peter D. Robinson

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Atomic Energy Levels
  • Atomic Properties
  • Atomic Structure
  • Equations
  • Ground State
  • Integrals
  • Mathematics
  • Stationary

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Combustion science or combustion engineering.
  • Operations Research