منابع مشابه
Quantum irreversibility and chaos.
für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...
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The main idea of ”Quantum Chaos” studies is that Quantum Mechanics introduces two energy scales into the study of chaotic systems: One is obviously the mean level spacing ∆ ∝ h̄, where d is the dimensionality; The other is ∆b ∝ h̄, which is known as the non-universal energy scale, or as the bandwidth, or as the Thouless energy. Associated with these two energy scales are two special quantum-mecha...
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This paper discusses the thermodynamic irreversibility realized in high-dimensional Hamiltonian systems with a time-dependent parameter. A new quantity, the irreversible information loss, is defined from the Lyapunov analysis so as to characterize the thermodynamic irreversibility. It is proved that this new quantity satisfies an inequality associated with the second law of thermodynamics. Base...
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© 2006 American Institute of Physics, S-0031-9228-0608-210-X The origin of irreversible behavior is a persistent theme in physics. Since the fundamental microscopic laws, including both Newton’s laws and quantum mechanics, are reversible (except for the weak interactions), the fact that most macroscopic systems behave irreversibly has long been recognized as an important issue. The problem of u...
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In this third of a series of four articles, we continue the study of the representations of the dynamical transformations of systems of correlated quantized oscillators. By including generalized wave function solutions to Schrödinger’s equation (belonging to a rigged Hilbert space), and by considering the algebra of observables as a whole, the presence of Devaney chaos, hyperbolic quasi-invaria...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics Supplement
سال: 2013
ISSN: 0375-9687
DOI: 10.1143/ptp.116.379