Title: Green’s function and propagator for the one-dimensional<i>δ</i>-function potential
Abstract: A particle in a one-dimensional \ensuremath{\delta}-function potential possesses both discrete and continuum solutions. The configuration-space Green's function and propagator for this problem are derived by explicit summation over the spectrum of eigenstates. The momentum-space Green's function is also obtained. The propagator does not contain the classical action function in any simple way, in contrast to the usual structure in Feynman's path-integral formalism. Various analogies between the \ensuremath{\delta}-function and Coulomb problems are discussed.
Publication Year: 1988
Publication Date: 1988-02-01
Language: en
Type: article
Indexed In: ['crossref', 'pubmed']
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Cited By Count: 62
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