Wigner Measures and the Semi-Classical Limit to the Aubry-Mather Measure

DOI10.1093/AMRX/ABR018zbMath1259.49069arXiv1111.3187OpenAlexW2071375135MaRDI QIDQ2918671

Joana Mohr, Artur Oscar Lopes, Diogo Aguiar Gomes

Publication date: 10 October 2012

Published in: Applied Mathematics Research eXpress (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.3187

zbMATH Keywords

semi-classical limittangent bundleWigner measuresone-dimensional torusAubry-Mather measureEvan's quantum action

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Quantum control (81Q93)

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Quantum tomographic Aubry–Mather theory ⋮ Wigner measures supported on weak KAM tori

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