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.
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Research Article| June 01 1994
Levinson’s theorem, zero‐energy resonances, and time delay in one‐dimensional scattering systems
M. Sassoli de Bianchi; Levinson’s theorem, zero‐energy resonances, and time delay in one‐dimensional scattering systems. J. Math. Phys. 1 June 1994; 35 (6): 2719–2733. https://doi.org/10.1063/1.530481
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