Propagator for finite range potentials: The case of reflection
Journal Article
·
· Journal of Mathematical Physics
- Istituto di Fisica Applicata 'Nello Carrara', CNR, via Madonna del Piano 10, 50019 Sesto Fiorentino, Florence (Italy)
Following a previous study on the transmission propagator for a finite range potential, the problem of reflection is considered. It is found that the Laplace transform of the reflection propagator can be expressed in terms of the usual Fredholm determinant {delta} and of a new similar determinant {gamma}, containing the peculiar characteristics of reflection. As an example, an array of delta potentials is considered. Moreover, a possible application to the calculation of quantum traversal time is shown.
- OSTI ID:
- 20929680
- Journal Information:
- Journal of Mathematical Physics, Vol. 48, Issue 4; Other Information: DOI: 10.1063/1.2728518; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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