Characteristic Coulomb Green's Function and Its Eigenfunction Expansion
- 1 July 1961
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 2 (4) , 478-482
- https://doi.org/10.1063/1.1703733
Abstract
The eigenfunction form of the Green's function is derived from the characteristic form of the Green's function for the nonrelativistic Coulomb operator. This derivation shows how the wave boundary condition of the characteristic form of the Green's function is related to the branch cut in the continuous part of the spectrum. An application of the eigenfunction expansion form of this Green's function is discussed.Keywords
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