Abstract
The precursor of quantum mechanics due to Bohr and Sommerfeld was already seen by Einstein [1] as applicable only to classically integrable dynamics. It has since been developed into a systematic semiclassical approximation, as sketched in Chap. 5. No prepotent guesses proved possible as to what quantum mechanics has to say about chaotic motion; the pertinent semiclassical approximations came into view with a delay of nearly 50 years in Gutzwiller’s pioneering work.
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Haake, F. (2010). Semiclassical Roles for Classical Orbits. In: Quantum Signatures of Chaos. Springer Series in Synergetics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05428-0_10
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