Journal of Statistical Physics

, Volume 83, Issue 1, pp 259-274

First online:

Hard chaos and adiabatic quantization: The wedge billiard

  • T. SzerediAffiliated withDepartment of Applied Mathematics, The Open University

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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.

Key Words

Classical chaos quantum chaos adiabatic quantization Born-Oppenheimer wedge billiard hard chaos semiclassical