Abstract
This chapter will present classical Hamiltonian mechanics to the extent needed for the semiclassical endeavors to follow. I can confine myself to the bare minimum since many excellent texts on classical chaos are available [1–5]. Readers with a good command of nonlinear dynamics might want to right away start with Sect. 9.14 where I begin expounding the fact that long periodic orbits of hyperbolic systems are not independent individuals but rather come in closely packed bunches.
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Haake, F. (2010). Classical Hamiltonian Chaos. In: Quantum Signatures of Chaos. Springer Series in Synergetics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05428-0_9
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