On the dynamics of the Holstein model from the anticontinuous limit

DOI10.1063/1.532921zbMath0969.81008OpenAlexW2038009650MaRDI QIDQ4270376

Dario Bambusi

Publication date: 21 November 1999

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

Full work available at URL: https://doi.org/10.1063/1.532921

zbMATH Keywords

nonlinear Schrödinger equationelectron probability distributionlattice of identical oscillatorsNekhoroshev-type resultssite system is integrable and anisocronous

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) Statistical mechanics of solids (82D20)

Cites Work

• Breathers in nonlinear lattices: existence, linear stability and quantization
• Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems
• Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations
• Long time stability of some small amplitude solutions in nonlinear Schrödinger equations
• Nonlinear stability around an elliptic equilibrium point in a Hamiltonian system
• Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators
• Exponential stability for the energy exchange dynamics of the Holstein model

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