Dispersive estimates for harmonic oscillator systems

DOI10.1063/1.3677978zbMath1273.82054arXiv1109.1252OpenAlexW3104457570MaRDI QIDQ2853637

Vita Borovyk, Robert Sims

Publication date: 16 October 2013

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1252

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items (3)

The Klein-Gordon equation on \(\mathbb Z^2\) and the quantum harmonic lattice ⋮ Quantum harmonic oscillator systems with disorder ⋮ Lieb-Robinson bounds for the Toda lattice

Cites Work

• Unnamed Item
• Lieb-Robinson bounds for harmonic and anharmonic lattice systems
• Lieb-Robinson bounds and the exponential clustering theorem
• Spectral gap and exponential decay of correlations
• Estimating the Lieb-Robinson velocity for classical anharmonic lattice systems
• The smallest C\(^*\)-algebra for canonical commutation relations
• On the propagation of a perturbation in an anharmonic system
• Propagation of correlations in quantum lattice systems
• A multi-dimensional Lieb-Schultz-Mattis theorem
• Quasi-free states of the C.C.R.-algebra and Bogoliubov transformations
• ON THE EXISTENCE OF THE DYNAMICS FOR ANHARMONIC QUANTUM OSCILLATOR SYSTEMS
• Topological quantum order: Stability under local perturbations
• Dynamics and Lieb–Robinson estimates for lattices of interacting anharmonic oscillators

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