1992Physical Review LettersRequires access

Periodic orbits from the quantum energy spectrum of the wedge billiard

T. Szeredi, D. A. Goodings

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Abstract

The classical-quantum correspondence is studied for the ``wedge billard,'' a system known to exhibit hard chaos. The Gutzwiller trace formula is recast as a damped sine or cosine transform, yielding peaks and zero crossings at the values of the actions of the periodic orbits. The lowest 190 energy eigenvalues of the quantum system are shown to contain a great deal of information about the shortest periodic orbits of the classical system.

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What this paper is about

The classical-quantum correspondence is studied for the ``wedge billard,'' a system known to exhibit hard chaos. The Gutzwiller trace formula is recast as a damped sine or cosine transform, yielding peaks and zero crossings at the values of the actions of the periodic orbits. The lowest 190 energy eigenvalues of the quantum system are shown to contain a great deal of information about the shortest periodic orbits of the classical system.

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OpenAlex reports 19 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The classical-quantum correspondence is studied for the ``wedge billard,'' a system known to exhibit hard chaos. The Gutzwiller trace formula is recast as a damped sine or cosine transform, yielding peaks and zero crossings at the values of the actions of the periodic orbits. The lowest 190 energy eigenvalues of the quantum system are shown to contain a great deal of information about the shortest periodic orbits of the classical system.

Key concepts: Dynamical billiards, Periodic orbits, Quantum chaos, Quantum, Wedge (geometry), Physics, Energy spectrum, Sine

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