A Galerkin method and nonlinear oscillations and waves
A Galerkin method is developed as a generalization of the variational averaging method to deal with problems with dissipation. Some nonlinear oscillations, nonlinear waves, and nonlinear stability pro...
A Galerkin method is developed as a generalization of the variational averaging method to deal with problems with dissipation. Some nonlinear oscillations, nonlinear waves, and nonlinear stability pro...
Some infinite series of products of Legendre and gamma functions
We derive closed expressions for some infinite series of products of Legendre functions and gamma functions. A particular series has been used to obtain the partial-wave projected quantum mechanical C...
We derive closed expressions for some infinite series of products of Legendre functions and gamma functions. A particular series has been used to obtain the partial-wave projected quantum mechanical C...
The general theory of R-separation for Helmholtz equations
J. Math. Phys. 24, 1047 (1983); doi:10.1063/1.525827
Issue Date: May 1983
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We develop the theory of R-separation for the Helmholtz equation on a pseudo-Riemannian manifold (including the possibility of null coordinates) and show that it, and not ordinary variable separation, is the natural analogy of additive separation for the Hamilton–Jacobi equation. We provide a coordinate-free characterization of variable separation in terms of commuting symmetry operators.
Journal of Mathematical Physics is copyrighted by The American Institute of Physics.
| History: | Received 18 November 1981; accepted 26 March 1982 |
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http://link.aip.org/link/?JMAPAQ/24/1047/1 |
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0022-2488 (print)
1089-7658 (online)
AIP
REFERENCES (12)
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