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 Schroedinger equation. After a Laplace transform, the solution is obtained in a new and simple form by using matrix methods; an application to an array of delta potentials is also shown.
Quantum propagator in the presence of a perfectly reflecting wall
Ilaria Cacciari;Marco Lantieri;Paolo Moretti
2007
Abstract
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 Schroedinger equation. After a Laplace transform, the solution is obtained in a new and simple form by using matrix methods; an application to an array of delta potentials is also shown.File in questo prodotto:
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