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arXiv · 1604.08444

On two different kinds of resonances in one-dimensional quantum-mechanical models

Francisco M. Fernández·Javier Garcia
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Abstract

We apply the Riccati-Pad\'{e} method and the Rayleigh-Ritz method with complex rotation to the study of the resonances of a one-dimensional well with two barriers. The model exhibits two different kinds of resonances and we calculate them by means of both approaches. While the Rayleigh-Ritz method reveals each set at a particular interval of rotation angles the Riccati Pad\'{e} method yields both of them as roots of the same Hankel determinants.

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Francisco M. Fernández, Javier Garcia. 2016-04-28. On two different kinds of resonances in one-dimensional quantum-mechanical models. https://arxiv.org/abs/1604.08444

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