Convolutions of semi-classical spectral distributions and periodic-orbit theory

DOI10.1016/J.JFA.2006.04.017zbMath1129.47036OpenAlexW2028112769MaRDI QIDQ859633

Brice Camus

Publication date: 16 January 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.04.017

zbMATH Keywords

Schrödinger operatortrace formulaquantum chaossemiclassical analysis

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Quantum chaos (81Q50) Pseudodifferential operators (47G30)

Cites Work

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• A semi-classical trace formula for Schrödinger operators
• Autour de l'approximation semi-classique. (Around semiclassical approximation)
• The spectrum of positive elliptic operators and periodic bicharacteristics
• On the contribution of degenerate periodic trajectories to the wave-trace
• Quantum monodromy and semi-classical trace formulæ.
• A semi-classical trace formula at a non-degenerate critical level.
• Solution of the Schrödinger equation in terms of classical paths
• The semi-classical trace formula and propagation of wave packets
• Universal spectral form factor for chaotic dynamics
• Oscillatory integrals, lagrange immersions and unfolding of singularities
• Periods of Periodic Solutions and the Lipschitz Constant

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