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• W1860685362 abstract "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 Schrodinger'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-invariant measures, torus actions, ergodicity and entropy generation associ- ated to the non-invertible decay of Gamow vectors and their asso- ciated to Breit-Wigner resonances is shown. A weak (local) form of the second law of thermodynamics is demonstrated through the decay of resonances. Both coherence formation and decoherence (decay) are associated with irreversibility and may be associated with entropy growth, which is due to the dynamical time evolution of resonances. Hilbert space is the manifold of stationary states. There is a fractal structure associated with dynamical time evo- lution of resonances in the space of generalized states, and the statistical nature of the exponential decay may be identied with quasi-trapping. Equilibrium states may be regarded as strange at- tractors with respect to dynamical time evolution." @default.
• W1860685362 created "2016-06-24" @default.
• W1860685362 creator A5082210000 @default.
• W1860685362 date "2003-01-21" @default.
• W1860685362 modified "2023-09-27" @default.
• W1860685362 title "Generalized Wavefunctions for Correlated Quantum Oscillators III: Chaos, Irreversibility." @default.
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• W1860685362 hasPublicationYear "2003" @default.
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