On the geometry of slow-fast phase spaces and the semiclassical quantization
type: Item
instance of: scholarly article
title: On the geometry of slow-fast phase spaces and the semiclassical quantization
zbMATH Open document ID: 1470.53073
DOI: 10.1134/S1061920821010039
author: N. Mamani-Alegria
author: M. Avendaño Camacho
author: Yuri M. Vorobiev
published in: Russian Journal of Mathematical Physics
publication date: 2021-05-05T00:00:00Z
review text: The paper under review concerns applications of the torus quantization results to a class of pseudodifferential operators depending on two small parameters. More precisely, the adiabatic-type sitution is studied, when the phase space splits into slow and fast parts and typically arises under some special relations between the given parameters \(h_1\ll h_2\ll 1\). The considered relationship between the parameters is \(h_2=\hbar \), \(h_1=\varepsilon \hbar\) where \(\hbar \ll 1\) and \(\varepsilon \ll 1\) play the role of the semiclassical and classical adiabatic parameter respectively.
Mathematics Subject Classification ID: 53D50
Mathematics Subject Classification ID: 81Q20
zbMATH DE Number: 7344443
zbMATH Keywords: slow-fast phase space
zbMATH Keywords: semiclassical quantization
reviewed by: Mircea Crasmareanu
MaRDI profile type: Publication
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full work available at URL: s1061920821010039
OpenAlex ID: W3138623172
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description: scientific article; zbMATH DE number 7344443