Scattering theory for a particle coupled to a scalar field

Valery Imaikin; Alexander Komech; Herbert Spohn

doi:10.3934/dcds.2004.10.387

Scattering theory for a particle coupled to a scalar field

Valery Imaikin, Alexander Komech, Herbert Spohn

TUM Emeriti of Excellence

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

20 Scopus citations

Abstract

We establish soliton-like asymptotics for finite energy solutions to classical particle coupled to a scalar wave field. Any solution that goes to infinity as t → ∞ converges to a sum of traveling wave and of outgoing free wave. The convergence holds in global energy norm. The proof uses a non-autonomous integral inequality method.

Original language	English
Pages (from-to)	387-396
Number of pages	10
Journal	Discrete and Continuous Dynamical Systems- Series A
Volume	10
Issue number	1-2
DOIs	https://doi.org/10.3934/dcds.2004.10.387
State	Published - 2004

Keywords

Classical particle
Particle density
Scalar wave field
Scattering solutions
Scattering states
Smooth coupling
Soliton-like asymptotics
Solitons
Weak interaction

Access to Document

10.3934/dcds.2004.10.387

Cite this

@article{626736f5c98d49ff8ed8b149765d41c0,

title = "Scattering theory for a particle coupled to a scalar field",

abstract = "We establish soliton-like asymptotics for finite energy solutions to classical particle coupled to a scalar wave field. Any solution that goes to infinity as t → ∞ converges to a sum of traveling wave and of outgoing free wave. The convergence holds in global energy norm. The proof uses a non-autonomous integral inequality method.",

keywords = "Classical particle, Particle density, Scalar wave field, Scattering solutions, Scattering states, Smooth coupling, Soliton-like asymptotics, Solitons, Weak interaction",

author = "Valery Imaikin and Alexander Komech and Herbert Spohn",

year = "2004",

doi = "10.3934/dcds.2004.10.387",

language = "English",

volume = "10",

pages = "387--396",

journal = "Discrete and Continuous Dynamical Systems- Series A",

issn = "1078-0947",

publisher = "American Institute of Mathematical Sciences",

number = "1-2",

}

TY - JOUR

T1 - Scattering theory for a particle coupled to a scalar field

AU - Imaikin, Valery

AU - Komech, Alexander

AU - Spohn, Herbert

PY - 2004

Y1 - 2004

N2 - We establish soliton-like asymptotics for finite energy solutions to classical particle coupled to a scalar wave field. Any solution that goes to infinity as t → ∞ converges to a sum of traveling wave and of outgoing free wave. The convergence holds in global energy norm. The proof uses a non-autonomous integral inequality method.

AB - We establish soliton-like asymptotics for finite energy solutions to classical particle coupled to a scalar wave field. Any solution that goes to infinity as t → ∞ converges to a sum of traveling wave and of outgoing free wave. The convergence holds in global energy norm. The proof uses a non-autonomous integral inequality method.

KW - Classical particle

KW - Particle density

KW - Scalar wave field

KW - Scattering solutions

KW - Scattering states

KW - Smooth coupling

KW - Soliton-like asymptotics

KW - Solitons

KW - Weak interaction

UR - http://www.scopus.com/inward/record.url?scp=2142662075&partnerID=8YFLogxK

U2 - 10.3934/dcds.2004.10.387

DO - 10.3934/dcds.2004.10.387

M3 - Article

AN - SCOPUS:2142662075

SN - 1078-0947

VL - 10

SP - 387

EP - 396

JO - Discrete and Continuous Dynamical Systems- Series A

JF - Discrete and Continuous Dynamical Systems- Series A

IS - 1-2

ER -

Scattering theory for a particle coupled to a scalar field

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this