Quantum signature of reconnection bifurcations. (English) Zbl 0978.81028
Summary: In this paper, we analyze quantum diffusion across a reconnecting zone in a regime of strong chaos. Quantum systems with chaotic classical counterpart show localized eigenstates even in the absence of classical regular structures. Localization can be related to invariant classical structures in phase space. In this paper we show confined quantum eigenfunctions by classical twistless curves. This feature is illustrated using a nonmonotonic standard map.
MSC:
| 81Q50 | Quantum chaos |
References:
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| [2] | Howard, J. E.; Hohs, S. M., Phys. Rev. A, 29, 418-421 (1984) |
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