Accession Number:

AD0655964

Title:

GREEN'S THEOREM AND INVARIANT TRANSFORMATIONS,

Descriptive Note:

Corporate Author:

SYRACUSE UNIV N Y DEPT OF PHYSICS

Personal Author(s):

Report Date:

1967-04-01

Pagination or Media Count:

20.0

Abstract:

Conservation laws are derived with the use of Greens theorem. These are studied specifically for the wave equation. A trivial class of invariant transformations exists which maps solutions into solutions. The mapping consists in the addition of a particular solution to all solutions. Because of the linearity of the wave equation, this sum will again be a solution. It is shown that this class of transformations has the Newman-Penrose constants among its generators. Calculations are carried out explicitly for the scalar wave equation and for Maxwells equations. Author

Subject Categories:

  • Theoretical Mathematics
  • Electricity and Magnetism
  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE