|
Online ISSN 1552-4485; Print ISSN 0033-569X
Translational addition theorems for spherical vector wave functions
Author:
Orval R. Cruzan
Journal:
Quart. Appl. Math. 20 (1962), 33-40
MSC:
Primary 33.28
DOI:
https://doi.org/10.1090/qam/132851
MathSciNet review:
132851
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: Translational addition theorems for spherical vector wave functions have been derived in a reduced form. The reduction has been accomplished by the use of formulas relating the coefficients that arise in the expansion of the product of two associated Legendre functions. These addition theorems should be useful, in general, in those cases involving electromagnetic sources and spherical bodies.
- Seymour Stein, Addition theorems for spherical wave functions, Quart. Appl. Math. 19 (1961), 15–24. MR 120407, DOI https://doi.org/10.1090/S0033-569X-1961-0120407-5
- Seymour Stein, Addition theorems for spherical wave functions, Quart. Appl. Math. 19 (1961), 15–24. MR 120407, DOI https://doi.org/10.1090/S0033-569X-1961-0120407-5 S. Stein, Ibid., p. 33
- Orval R. Cruzan, Translational addition theorems for spherical vector wave functions, Quart. Appl. Math. 20 (1962/63), 33–40. MR 132851, DOI https://doi.org/10.1090/S0033-569X-1962-0132851-2 J. A. Stratton, Electromagnetic theory, McGraw-Hill Book Co., Inc., New York, N. Y., 1941, pp. 392–423
- A. R. Edmonds, Angular momentum in quantum mechanics, Investigations in Physics, Vol. 4, Princeton University Press, Princeton, N.J., 1957. MR 0095700
- Bernard Friedman and Joy Russek, Addition theorems for spherical waves, Quart. Appl. Math. 12 (1954), 13–23. MR 60649, DOI https://doi.org/10.1090/S0033-569X-1954-60649-8
Retrieve articles in Quarterly of Applied Mathematics with MSC: 33.28
Retrieve articles in all journals with MSC: 33.28
Additional Information
Article copyright:
© Copyright 1962
American Mathematical Society