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

We apply the Riccati-Padé 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 Padé method yields both of them as roots of the same Hankel determinants.

preprint2016arXivOpen access
Francisco M. FernándezJavier Garcia
quant-ph
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Francisco M. FernándezJavier Garcia

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