Signatures of Quantum Chaos in Wave Functions Structure for Multi-well 2D Potentials

Details Signatures of Quantum Chaos in Wave Functions Structure for Multi-well 2D Potentials Signatures of Quantum Chaos in Wave Functions Structure for Multi-well 2D Potentials

2003-11-07

arxiv.org/abs/nlin/0311012v2

Nonlinear Sciences

Chaotic Dynamics

5 pages, 4 figures, to be submitted to "Pis'ma v ZhETF"

Scientific paper

10.1016/j.physleta.2004.01.059

We propose a new approach to investigation of quantum manifestations of classical stochasticity (QMCS) in wave functions structure, which can be realized in potentials with two and more local minima. The main advantage of the proposed approach is the possibility to detect QMCS in comparison not different wave functions, but different parts of the same wave function. Efficiency of the approach is demonstrated for two potentials: surface quadrupole oscillations (QO) and lower umbillic catastrophe (UC) $D_5$.

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