Chaos Et Physique QuantiqueMarie-Joya Giannoni, André Voros, Jean Zinn-Justin This volume presents the current state of knowledge and the emerging lines of research on the following question: Can one identify in quantum systems fingerprints of the completely or partially chaotic behaviour of the underlying classical dynamics? quantum mechanics has advanced tremendously and the following broad themes are dealt with in this book: - physics, now the standard for analysing signatures of classical chaos in quantum systems; localization phenomena; on negatively curved compact manifolds; microscopic media: nuclear, atomic, molecular, solid-state physics |
Common terms and phrases
amplitude approximation asymptotic average behaviour billiard calculation chaos chaotic systems classical dynamics classical limit conjugate constant coordinate corresponding curve density diffusion discrete eigenfunctions eigenstates eigenvalues energy levels ensemble equation ergodic example exponential finite fluctuations Fourier transform frequency Gaussian geodesic Giannoni given Green's function Gutzwiller Hamiltonian systems hyperbolic initial integral Lett level repulsion linear Lyapunov exponent M. V. Berry magnetic field manifold Math momentum motion obtained oscillator parameter particle periodic orbits perturbation phase space Phys Physics plane Poincaré Poisson potential problem properties quantization quantum chaos quantum mechanics quantum system random resonance rotational scars scattering Schrödinger's equation Selberg trace formula semiclassical limit sequence spacing distribution spectral spectrum stability stability matrix standard map statistical symmetry theory torus trace formula trajectory transition triangle unstable values variable Voros wavefunction wavepacket Wigner zero