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

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Abstract:

The Lagrangian functional Gphi the integral of 12phi-del squared1phi -14phi to the 4th powerdr is shown to be an upper bound for Gphi sub 0, where phi sub 0 is the ground-state eigen-function of -del squaredphi phi - phi cubed 0, provided that Gphi is stationary with respect to amplitude or scale variations in phi. Complementary functionals are also shown to provide upper bounds. Author

Author(s):
Robinson, Peter D.
Author Organization(s):
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Descriptive Note:
Technical summary rept.,
Pagination:
0021

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
MRC-TSR-1032
Contract/Grant Number(s):
DA-31-124-ARO(D)-462, NSF-GP-12832
 Subject Terms
Communities of Interest:
No COI(s) Identified
Descriptor(s):
(*CALCULUS OF VARIATIONS, FIELD THEORY), WAVE FUNCTIONS, PARTIAL DIFFERENTIAL EQUATIONS, ELEMENTARY PARTICLES, ELECTROMAGNETIC FIELDS
Field(s)/Group(s):
Theoretical Mathematics
Keyword(s):
EIGENVECTORS
Report Date:
1969 Dec 01