A criterion for asymptotic straightness of force fields

Jürgen Scheurle; Stephan Schmitz

doi:10.3934/dcdsb.2010.14.777

A criterion for asymptotic straightness of force fields

Jürgen Scheurle
, Stephan Schmitz

Department of Mathematics

Technical University of Munich

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

Abstract

We consider the equations of motion arising from the classical scattering problem for potentials decreasing sufficiently fast at infinity. It is common to impose some conditions on the potential which guarantee that the paths of particles moving to infinity have straight lines as asymptotes. In this paper a new criterion is given by which one can decide whether or not a given potential has this special property called asymptotic straightness.

Original language	English
Pages (from-to)	777-792
Number of pages	16
Journal	Discrete and Continuous Dynamical Systems - Series B
Volume	14
Issue number	2
DOIs	https://doi.org/10.3934/dcdsb.2010.14.777
State	Published - Sep 2010

Keywords

Classical mechanics
Classical particle scattering

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10.3934/dcdsb.2010.14.777

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title = "A criterion for asymptotic straightness of force fields",

abstract = "We consider the equations of motion arising from the classical scattering problem for potentials decreasing sufficiently fast at infinity. It is common to impose some conditions on the potential which guarantee that the paths of particles moving to infinity have straight lines as asymptotes. In this paper a new criterion is given by which one can decide whether or not a given potential has this special property called asymptotic straightness.",

keywords = "Classical mechanics, Classical particle scattering",

author = "J{\"u}rgen Scheurle and Stephan Schmitz",

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AU - Schmitz, Stephan

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AB - We consider the equations of motion arising from the classical scattering problem for potentials decreasing sufficiently fast at infinity. It is common to impose some conditions on the potential which guarantee that the paths of particles moving to infinity have straight lines as asymptotes. In this paper a new criterion is given by which one can decide whether or not a given potential has this special property called asymptotic straightness.

KW - Classical mechanics

KW - Classical particle scattering

UR - https://www.scopus.com/pages/publications/77957758168

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DO - 10.3934/dcdsb.2010.14.777

M3 - Article

AN - SCOPUS:77957758168

SN - 1531-3492

VL - 14

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EP - 792

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

IS - 2

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A criterion for asymptotic straightness of force fields

Abstract

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