Particle capture by a slowly varying periodic potential
type: Item
instance of: scholarly article
title: Particle capture by a slowly varying periodic potential
zbMATH Open document ID: 0638.70009
DOI: 10.1007/BF01019392
author: B. George
published in: Theoretical and Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: Particle capture by a slowly varying one-dimensional periodic potential is studied by the method of averaging. For large time intervals \(t\sim 1/\alpha\) (\(\alpha\) is the small parameter which characterizes the rate of change of the potential), including the point of intersection of the separatrix, the solution is constructed up to the first correction terms of order \(\alpha\) relative to the leading term. The increment \(\Delta\) I of the action in a complete evolution interval is also calculated in the leading order in \(\alpha\).
Mathematics Subject Classification ID: 70H05
Mathematics Subject Classification ID: 70C20
zbMATH DE Number: 4041356
zbMATH Keywords: Particle capture
zbMATH Keywords: slowly varying one-dimensional periodic potential
zbMATH Keywords: method of averaging
zbMATH Keywords: point of intersection of the separatrix
MaRDI profile type: Publication
cites work: Adiabatic invariance to all orders
cites work: Q4749793
full work available at URL: https://doi.org/10.1007/bf01019392
OpenAlex ID: W1972029585
description: scientific article; zbMATH DE number 4041356