Quantum propagator in the presence of a perfectly reflecting wall

The transmission propagator for an arbitrary, finite range one-dimensional potential in the presence of a perfectly reflecting wall is calculated starting from the integral form of the Schrödinger equation. After a Laplace transform, the solution is obtained in a new and simple form by using matrix...

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Bibliographic Details
Published in:Physics letters. A 2007-05, Vol.365 (1), p.49-54
Main Authors: Cacciari, Ilaria, Lantieri, Marco, Moretti, Paolo
Format: Article
Language:English
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Summary:The transmission propagator for an arbitrary, finite range one-dimensional potential in the presence of a perfectly reflecting wall is calculated starting from the integral form of the Schrödinger equation. After a Laplace transform, the solution is obtained in a new and simple form by using matrix methods; we apply the results to an array of delta potentials.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2006.12.052