Quantum diffusion and tunneling with parametric banded random matrix Hamiltonians

DOI10.1016/S0960-0779(97)00013-1zbMath0937.82022arXivnucl-th/9612011OpenAlexW2014717338MaRDI QIDQ1963197

Dimitri Kusnezov, Aurel Bulgac, Giu Do Dang

Publication date: 24 January 2000

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nucl-th/9612011

zbMATH Keywords

dissipationrandom matrixdriven quantum many-body systemFeynman-Vernon path integralMarkovian limit

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Irreversible thermodynamics, including Onsager-Machlup theory (82B35)

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Lévy Transport in Slab Geometry of Inhomogeneous Media ⋮ Dynamical behaviors of a fractional-order predator-prey model with Holling type IV functional response and its discretization ⋮ Vibrational Resonance in a Fractional Order Quintic Oscillator System with Time Delay Feedback

Cites Work

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• On the generators of quantum dynamical semigroups
• Coupling between slow and fast degrees of freedom in systems with complex spectra. Driven systems
• Efficiencies of self-propulsion at low Reynolds number
• There is No Quantum Regression Theorem
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws

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