Regular Tunnelling Sequences in Mixed Systems

Stephen C. Creagh; Niall D. Whelan

doi:10.1016/s1386-9477(00)00258-7

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arXiv · chao-dyn/9910021

Regular Tunnelling Sequences in Mixed Systems

Stephen C. Creagh·Niall D. Whelan

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Abstract

We show that the pattern of tunnelling rates can display a vivid and regular pattern when the classical dynamics is of mixed chaotic/regular type. We consider the situation in which the dominant tunnelling route connects to a stable periodic orbit and this orbit is surrounded by a regular island which supports a number of quantum states. We derive an explicit semiclassical expression for the positions and tunnelling rates of these states by use of a complexified trace formula.

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Stephen C. Creagh, Niall D. Whelan. 1999-10-14. Regular Tunnelling Sequences in Mixed Systems. https://doi.org/10.1016/s1386-9477(00)00258-7

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