Mather measures associated with a class of Bloch wave functions
type: Item
instance of: scholarly article
title: Mather measures associated with a class of Bloch wave functions
zbMATH Open document ID: 1256.81049
author: Olga Bernardi
author: Alberto Parmeggiani
author: Lorenzo Zanelli
published in: Annales Henri Poincaré
publication date: 2012-11-27T00:00:00Z
Mathematics Subject Classification ID: 81Q20
Mathematics Subject Classification ID: 81Q30
Mathematics Subject Classification ID: 81Q35
zbMATH DE Number: 6110494
MaRDI profile type: Publication
full work available at URL: s00023-012-0174-z
OpenAlex ID: W2062475137
cites work: Semiclassical limit of quantum dynamics with rough potentials and well‐posedness of transport equations with measure initial data
cites work: Passage from Quantum to Classical Molecular Dynamics in the Presence of Coulomb Interactions
cites work: Entropy and the localization of eigenfunctions
cites work: Smoothed affine Wigner transform
cites work: Strong Phase-Space Semiclassical Asymptotics
cites work: Schrödinger operators with magnetic fields and minimal action functionals
cites work: The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
cites work: Viscosity solutions of Hamilton-Jacobi equations
cites work: Existence of C1,1C1,1 critical sub-solutions of the Hamilton–Jacobi equation on compact manifolds
cites work: On the number of Mather measures of Lagrangian systems
cites work: Symplectic aspects of Mather theory
cites work: Optimal mass transportation and Mather theory
cites work: Q4269108
cites work: Aubry–Mather Measures in the Nonconvex Setting
cites work: On minimizing measures of the action of autonomous Lagrangians
cites work: Q4832187
cites work: Lagrangian graphs, minimizing measures and Mañé's critical values
cites work: A proof of the Gutzwiller semiclassical trace formula using coherent states decomposition
cites work: Distributions
cites work: Classical limit of the quantized hyperbolic toral automorphisms
cites work: Further PDE methods for weak KAM theory
cites work: Towards a quantum analog of weak KAM theory
cites work: Some new PDE methods for weak KAM theory
cites work: Mather measures selected by an approximation scheme
cites work: Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
cites work: Existence of \(C^1\) critical subsolutions of the Hamilton-Jacobi equation
cites work: Uniqueness of Invariant Lagrangian Graphs in a Homology or a Cohomology Class
cites work: Homogenization limits and Wigner transforms
cites work: Q4878642
cites work: Ergodic properties of eigenfunctions for the Dirichlet problem
cites work: Elliptic partial differential equations of second order
cites work: Q3001630
cites work: Convergence of a quantum normal form and an exact quantization formula
cites work: Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit)
cites work: On Wigner measures
cites work: On the minimizing measures of Lagrangian dynamical systems
cites work: Generic properties and problems of minimizing measures of Lagrangian systems
cites work: Bohmian measures and their classical limit
cites work: Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
cites work: Action minimizing invariant measures for positive definite Lagrangian systems
cites work: Variational construction of connecting orbits
cites work: Semiclassical expansion of Wigner functions
cites work: Quantization of pseudo-differential operators on the torus
cites work: Lecture notes on Mather's theory for Lagrangian systems
cites work: Action minimizing properties and distances on the group of Hamiltonian diffeomorphisms
cites work: Q4462268
cites work: Local and global analysis of eigenfunctions
DOI: 10.1007/S00023-012-0174-Z
description: scientific article; zbMATH DE number 6110494