Accession Number : AD0707798

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

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Robinson,Peter D.

Report Date : DEC 1969

Pagination or Media Count : 21

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)

Descriptors :   (*CALCULUS OF VARIATIONS, FIELD THEORY), WAVE FUNCTIONS, PARTIAL DIFFERENTIAL EQUATIONS, ELEMENTARY PARTICLES, ELECTROMAGNETIC FIELDS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE