The Quantum Mechanical Picture ...

... shows for the same system clear localized traces (scars) also in the classically chaotic range - and that just where the most important unstable periodic orbits of its dynamic skeleton are located.

This way, a possibility is found for quantizing classically chaotic systems, which lately has been mentally prepared already by Poincaré. Namely, he conjectured that the unstable periodic orbits of low-dimensional non-integrable systems (like the three body problem) play a special role in the understanding of their irregular motion.

Father of this pioneering development in quantum mechanics, which puts the old quantum theory in a new light by virtue of a renaissance of the semiclassical theory, is Martin Gutzwiller.

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