Titlebook: Quantum Signatures of Chaos; Fritz Haake,Sven Gnutzmann,Marek Kuś Book 2018Latest edition Springer Nature Switzerland AG 2018 classical Ha

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Ballistic Sigma Model for Individual Unitary Maps and Graphs,First hints at the usefulness of the sigma model for studying spectral statistics of individual dynamics appeared in 2005. The semiclassical construction of the non-oscillatory part of the two-point correlator of the quantum level density for classically chaotic systems

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Quantum Localization,This chapter will focus mainly on the kicked rotator that displays global classical chaos in its cylindrical phase space for sufficiently strong kicking. The chaotic behavior takes the form of “rapid” quasi-random jumps of the phase variable around the cylinder and “slow” diffusionof the conjugate angular momentum . along the cylinder.

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Classical Hamiltonian Chaos,This chapter will present classical Hamiltonian mechanics to the extent needed for the semiclassical endeavors to follow.

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Semiclassical Roles for Classical Orbits,The precursor of quantum mechanics due to Bohr and Sommerfeld was already seen by Einstein as applicable only to classically integrable dynamics.

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Fritz Haake,Sven Gnutzmann,Marek KuśCompletely revised and modernized 4th edition of a classic text.Expands further on the supersymmetric sigma model and its applications.Provides end-of-chapter problems throughout

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