The Proca‐type system of partial differential equations [−curl curl A + kA = τ grad φ; ▿2φ − Kφ = τ div A, with k, K, and τ constants] is transformed into a new system such that the vector potential A and the scalar potential φ satisfy separate differential equations. It is also shown that, for the solution of the system, there are only two different modes, div A = 0 with φ = 0, and curl A = 0 with φ ≠ 0, respectively.

Topics
Partial differential equations
1.
P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw‐Hill Book Company, Inc., New York, 1953), Part I, p. 1891.
2.
G. Wentzel, Quantum Theory of Fields (Interscience Publishers, Inc., London, 1949), p. 75.
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© 1966 The American Institute of Physics.
1966
The American Institute of Physics
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