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Titlebook: Chaotic Behavior in Quantum Systems; Theory and Applicati Giulio Casati Book 1985 Plenum Press, New York 1985 chaos.coherence.quantum chaos

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https://doi.org/10.1007/0-387-33318-5there are roughly 1600 different possible nuclei, each capable of existing in a large number of excited states accessible to experimental measurements, nuclear physics becomes one of the ideal grounds for statistical studies. We shall be concerned only with the fluctuations of energy level positions
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Measuring Inequality and Social Welfare motion have been rather well settled. As will probably appear in this Conference, the tentative definitions of quantum chaos are still sparse and conjectural, reflecting our poor understanding of the question. Our purpose here is to propose signatures of quantum chaos by means of statistical proper
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https://doi.org/10.1007/0-387-33318-5system, no two of the energy levels E. will coincide. But just as with road accidents the chance of a degeneracy can rise from negligible to inevitable if instead of considering individual Hamiltonians one embeds Ĥ in a population smoothly parameterised by variables .. In section 2 I review an old a
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Welfare and Inequality Dominanceates for a system with bound motion. Can it supply more refined ‘averages’ such as the correlation function for the density of states ? I shall argue that for the two extreme cases of integrable classical motion and ergodic classical motion information can indeed be obtained on n
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https://doi.org/10.1007/3-540-37649-6tegrable. Brillouin. and Keller. later refined his method (torus quantization). Gutzwiller. and Percival. suggested that the “regular” spectrum of an integrable system ought to be qualitatively different from the “irregular” spectrum of a nonintegrable one. In particular, there should be no natural
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https://doi.org/10.1007/3-540-37649-6∿ 50 and parabolic quantum numbers n. << n. (or n. >> n.). It is shown that diffusion over levels is much slower than in the classical case. A significant part in atom excitation is played by multiphoton resonances with the number of photons k ≳ ≳ 10.
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Labour Markets in Asian Transition Economiesnifold .(.) to develop pleats. Thereby the phase becomes multivalued, and the wave may be termed incoherent. This process is analyzed by studying the local spectral density, which changes from a line spectrum to a continuous spectrum.
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