An introduction to semi-classical mechanics
type: Item
instance of: scholarly article
title: An introduction to semi-classical mechanics
zbMATH Open document ID: 0971.53048
author: Yves Colin de Verdière
published in: L'Enseignement Mathématique. 2e Série
publication date: 2001-01-30T00:00:00Z
review text: Summary: This text is an introduction to semi-classical mechanics for non-specialists. After reminding the setup of classical mechanics (symplectic geometry) and of quantum mechanics, semi-classical mechanics is introduced in terms of simple examples: Fourier and Legendre transformations, Huygens' principle. Then the semi-classical trace formulas are described, as well as the set of problems of quantum chaos.
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 81Q20
Mathematics Subject Classification ID: 53D05
zbMATH DE Number: 1558716
zbMATH Keywords: symplectic geometry
zbMATH Keywords: semi-classical mechanics
zbMATH Keywords: quantum mechanics
zbMATH Keywords: Huygens' principle
zbMATH Keywords: trace formula
zbMATH Keywords: quantum chaos
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1558716