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Fourier Transforms of Retarded and Advanced Potentials
Phys. Rev. 68, 166 – Published 1 October, 1945
DOI: https://doi.org/10.1103/PhysRev.68.166
Abstract
The Fourier transforms of the retarded and advanced potentials of the electromagnetic field and of the wave fields of elementary particles are obtained with the help of the invariant functions of Jordan, Pauli, and Dirac, together with their generalizations. It is shown that the Fourier transforms of these potentials are closely related to those of the outward and inward moving waves given by Dirac for the scattering problems in quantum mechanics, and their connection is discussed. It is also shown that there exists a type of potentials which represents waves with frequencies of opposite signs propagating in opposite directions.
References (9)
- Jordan and Pauli, Zeits. f. Physik 47, 151 (1928)
- Dirac, Proc. Roy. Soc. A180, 1 (1942)
- Dirac, Ann. l'Inst. H. Poincaré 9, 13 (1939)
- Dirac, Proc. Camb. Phil. Soc. 30, 150 (1934)
- W. Pauli, Phys. Rev. 58, 716 (1940) Rev. Mod. Phys. 13, 203 (1941)
- Dirac, Zeits. f. Physik 44, 585 (1927) DiracPrinciples of Quantum Mechanics (Clarendon Press, Oxford, 1935), second edition
- Bhabha, Proc. Roy. Soc. A172, 384 (1939)
- Møller, Zeits. f. Physik 66, 513 (1930)
- Ma and Hsüeh, Proc. Camb. Phil. Soc. 40 (1944)