Wigner measures and quantum Aubry-Mather theory

Diogo A. Gomes*, Claudia Valls

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


In this paper we investigate the quantum action problem using Wigner measures on the torus. We prove existence, study its main properties, and prove convergence to Mather measures in the semiclassical limit. We also indicate how to extend these techniques to the study of stochastic Mather measures.

Original languageEnglish (US)
Pages (from-to)47-61
Number of pages15
JournalAsymptotic Analysis
Issue number1
StatePublished - 2007
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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