# 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

# Descriptors:

# Subject Categories:

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