Wigner measures and quantum Aubry-Mather theory

Diogo A. Gomes; Claudia Valls

Wigner measures and quantum Aubry-Mather theory

Diogo A. Gomes^*, Claudia Valls

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	47-61
Number of pages	15
Journal	Asymptotic Analysis
Volume	51
Issue number	1
State	Published - 2007
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Wigner measures and quantum Aubry-Mather theory",

abstract = "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.",

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AU - Valls, Claudia

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JO - Asymptotic Analysis

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Wigner measures and quantum Aubry-Mather theory

Abstract

ASJC Scopus subject areas

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