Quantum Expression of Classical Chaos

Details Quantum Expression of Classical Chaos Quantum Expression of Classical Chaos

2001-07-23

arxiv.org/abs/nlin/0107051v1

Nonlinear Sciences

Chaotic Dynamics

11 pages, LaTex, 3 figures

Scientific paper

Even as we understand for long that the world is quantal and buried in it is classical dynamics which is chaotic, finding eigenfunctions analytically from the the Schroedinger equation has turned out to be a near-impossibility. Here, we discover a class of chaotic quantum systems for which we obtain some analytically exact eigenfunctions in closed form. This paves way to an exact classical and quantum mechanical treatment of chaotic systems. Furthermore, we bring out connections, underlying the discovery, between different areas of physics and mathematics related to universality in fluctuations observed in a wide variety of complex quantum systems.

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