A New Approximation Method for Wave Theories
- 1 November 1971
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (11) , 2355-2361
- https://doi.org/10.1063/1.1665542
Abstract
The scalar field due to a bounded source and obeying the wave equation is analyzed. As a result of this, a set of rules is derived for solving a class of ``wave theories,'' including electrodynamics and general relativity, by expanding the field in a power series of c−1 in null-spherical coordinates. The method is applied for the Maxwell equations to give all the well-known results without the use of Fourier analysis and Bessel functions.Keywords
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