Quantum Chaos: Between Order and Disorder
Giulio Casati, Boris Chirikov
Cambridge University Press, Nov 23, 2006 - Mathematics - 700 pages
This book represents a comprehensive overview of our present understanding of chaotic behavior in a wide variety of quantum and semiclassical systems, and describes both experimental and theoretical investigations. A general introduction sets out the main features of chaos in quantum systems. Thereafter, in an authoritative collection of new or previously published papers, prominent scientists put forward their particular interpretations of quantum chaos with reference to a broad range of interesting physical systems.
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amplitude Anderson localization approximation asymptotic atoms behavior billiard calculations canonical transformation Casati Chirikov classical dynamics classical limit classically chaotic coherent conﬁguration correlation corresponding cycle deﬁned deﬁnition density dependence diffusion distribution doubled phase space eigenfunctions eigenstates eigenvalues electric ﬁeld electron energy ensemble equation ergodic evolution excited exponentially ﬁgure ﬁnd ﬁnite ﬁrst ﬁxed points ﬂuctuations frequency Gutzwiller Hamiltonian Hilbert space inﬁnite initial integrable invariant ionization Izrailev kicked Lagrangian manifold Lett level repulsion localization length magnetic ﬁeld matrix microwave motion obtained one-dimensional operator oscillations parameter periodic orbits perturbation phase space Phys Physics Poisson bracket properties quantal quantization quantum chaos quantum mechanics quantum systems quasienergy random reﬂection regime region representation resonances rotator rotor Rydberg Rydberg atoms scale scattering Selberg zeta function semiclassical Shepelyansky spectra spectrum stable manifolds statistical structure symmetry theory trace formula trajectories unitary values wave function Wigner zeros