We consider a simple model for shape resonance in the spirit of Gamov and prove that the sojourn time diverges as the square root of the height of the barrier. This result illustrates the power of Lavine’s lower bound theory.
CITATION STYLE
Asch, J., Bourget, O., Cortés, V. H., & Fernández, C. (2016). Lower bounds for sojourn time in a simple shape resonance model. In Operator Theory: Advances and Applications (Vol. 254, pp. 1–9). Springer International Publishing. https://doi.org/10.1007/978-3-319-29992-1_1
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