Levinson’s theorem, zero-energy resonances, and time delay in one-dimensional scattering systems
- 1 June 1994
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 35 (6) , 2719-2733
- https://doi.org/10.1063/1.530481
Abstract
The one‐dimensional Levinson’s theorem is derived and used to study zero‐energy resonances in a double‐potential system. The low energy behavior of time delay is also investigated. In particular, it is shown that the quantum mechanical time delay admits a classical lower bound, in the low energy limit, if the potential has no bound‐state solutions.Keywords
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