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Hard chaos and adiabatic quantization: The wedge billiard
Authors:T Szeredi
Institution:(1) Department of Applied Mathematics, The Open University, MK7 6AA Milton Keynes, UK
Abstract:We present a study of a series of eigenstates occurring in the wedge billiard which may be quantized about tori by sejiclassical adiabatic quantization, even though the underlying classical system exhibits hard chaos and strictly possesses no tori. We also show that adiabatic eigenstates should be common in many chaotic systems, especially among the lower eigenstates, and present a heuristic argument as to why this should be so.
Keywords:Classical chaos  quantum chaos  adiabatic  quantization  Born-Oppenheimer  wedge  billiard  hard chaos  semiclassical
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