Nonlinear Sciences – Chaotic Dynamics
Scientific paper
1999-10-14
S.C. Creagh and N.D. Whelan, Physica E: Low-dimensional Systems, vol.9, 531 (2001).
Nonlinear Sciences
Chaotic Dynamics
submitted to Physica E as a contribution to the workshop proceedings of "Dynamics of Complex Systems" held at the Max Planck I
Scientific paper
10.1016/S1386-9477(00)00258-7
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.
Creagh Stephen C.
Whelan Niall D.
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