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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/10.1007/3-540-27986-5ces as a way of generating irregularities. The relation of these Fermi resonances to avoided crossings in eigenvalue plots and to various treatments of intramolecular dynamics in the chemical literature is outlined.
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The Relation Between Quantum Mechanics And Classical Mechanics: A Survey Of Some Mathematical Aspecthe distribution of eigenvalues for a domain R. or a Riemannian manifold. We also single out the manifolds for which the heat kernel and the spectrum of the Laplacian are given entirely by (the lengths of) geodesies, i.e., by classical orbits.
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Periodic Orbits and a Correlation Function for the Semiclassical Density of States,ΔE)>? I shall argue that for the two extreme cases of integrable classical motion and ergodic classical motion information can indeed be obtained on not quite this, but a closely related correlation function. The results for the two types of motion are markedly different.
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Fluctuations in Nuclear Spectra, here. Space limitation prevents us from getting into the vast and interesting subject of the statistics of nuclear reaction and transition strengths. A more comprehensive review can be found in ref..)
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Characterization of Fluctuations of Chaotic Quantum Spectra,ties of the energy levels of the discrete spectrum. In what follows, we shall consider dynamical systems which are conservative and time-reversal invariant, and their classical analogue strongly chaotic (K-systems).
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Aspects of Degeneracy,rgument of Von Neumann and Wigner (1929) indicating that for typical families . of real Hamiltonians, two parameters are necessary to produce a degeneracy, while if . is Hermitian (and not real) three parameters are necessary.
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