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Quantum chaos is a branch of physics which studies how chaotic classical dynamical systems can be described in terms of quantum theory. The primary question that quantum chaos seeks to answer is: "What is the relationship between quantum mechanics and classical chaos?" The correspondence principle states that classical mechanics is the classical limit of quantum mechanics. If this is true, then there must be quantum mechanisms underlying classical chaos; although this may not be a fruitful way of examining classical chaos. If quantum mechanics does not demonstrate an exponential sensitivity to initial conditions, how can exponential sensitivity to initial conditions arise in classical chaos, which must be the correspondence principle limit of quantum mechanics? 〔''Quantum Signatures of Chaos'', Fritz Haake, Edition: 2, Springer, 2001, ISBN 3-540-67723-2, ISBN 978-3-540-67723-9.〕〔Michael Berry, "Quantum Chaology", pp 104-5 of ''Quantum: a guide for the perplexed'' by Jim Al-Khalili (Weidenfeld and Nicolson 2003), http://www.physics.bristol.ac.uk/people/berry_mv/the_papers/Berry358.pdf.〕 In seeking to address the basic question of quantum chaos, several approaches have been employed: # Development of methods for solving quantum problems where the perturbation cannot be considered small in perturbation theory and where quantum numbers are large. # Correlating statistical descriptions of eigenvalues (energy levels) with the classical behavior of the same Hamiltonian (system). # Semiclassical methods such as periodic-orbit theory connecting the classical trajectories of the dynamical system with quantum features. # Direct application of the correspondence principle. ==History== During the first half of the twentieth century, chaotic behavior in mechanics was recognized (as in the three-body problem in celestial mechanics), but not well-understood. The foundations of modern quantum mechanics were laid in that period, essentially leaving aside the issue of the quantum-classical correspondence in systems whose classical limit exhibit chaos. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Quantum chaos」の詳細全文を読む スポンサード リンク
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