Published November 2008
| Version v1
Journal article
Scattering theory for the Klein-Gordon equation with nondecreasing potentials
Creators
- 1. Departamento de Matematicas, Universidad Autonoma Metropolitana-Iztapalapa, Av. San Rafael Atlixco, 186. Col. Vicentina, C.P. 09340, Del. Iztapalapa, Mexico D.F. (Mexico)
Description
The Klein-Gordon equation is considered in the case of nondecreasing potentials. The energy inner product is nonpositive on a subspace of infinite dimension, not consisting entirely of eigenvectors of the associated operator. A scattering theory for this case is developed and asymptotic completeness for generalized Moeller operators is proven
Additional details
Identifiers
- DOI
- 10.1063/1.3003053;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 49
- Journal Issue
- 11
- Journal Page Range
- p. 113512-113512.8
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40051160
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; EIGENFUNCTIONS; EIGENVALUES; EIGENVECTORS; KLEIN-GORDON EQUATION; MATHEMATICAL OPERATORS; POTENTIAL SCATTERING; POTENTIALS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ELASTIC SCATTERING; EQUATIONS; FIELD EQUATIONS; FUNCTIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; SCATTERING; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2008 American Institute of Physics