Published July 1987
| Version v1
Journal article
Green's functions for nonlinear Klein--Gordon kink perturbation theory
Creators
- 1. Department of Physics, University of Southern California, Los Angeles, California 90089-0484
Description
A Green's function is defined for nonlinear Klein--Gordon theories in terms of the solutions to the eigenvalue equation obtained by linearizing the nonlinear wave equation about a static kink waveform. Analytic forms in terms of ''modified'' Lommel functions of two variables are derived for the sine--Gordon, phi-4, and double quadratic potentials. Asymptotic forms for the Green's functions are obtained by investigating the asymptotic behavior of the modified Lommel functions. Methods for calculating the Lommel functions are also outlined
Additional details
Publishing Information
- Journal Title
- J. Math. Phys. (N.Y.)
- Journal Volume
- 28
- Journal Issue
- 7
- Series
- J. Math. Phys. (N.Y.).
- Journal Page Range
- 1619-1631
- ISSN
- 0022-2488
- CODEN
- JMAPA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 18070599
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; CENTER-OF-MASS SYSTEM; COORDINATES; EIGENVALUES; FIELD EQUATIONS; FIELD THEORIES; FUNCTIONS; GREEN FUNCTION; LASL; LORENTZ TRANSFORMATIONS; MATHEMATICAL MODELS; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; PERTURBATION THEORY; WAVE EQUATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; LANL; NATIONAL ORGANIZATIONS; PARTIAL DIFFERENTIAL EQUATIONS; US AEC; US DOE; US ERDA; US ORGANIZATIONS