Green's functions for nonlinear Klein--Gordon kink perturbation theory
Journal Article
·
· J. Math. Phys. (N.Y.); (United States)
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.
- Research Organization:
- Department of Physics, University of Southern California, Los Angeles, California 90089-0484
- OSTI ID:
- 6779820
- Journal Information:
- J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:7; ISSN JMAPA
- Country of Publication:
- United States
- Language:
- English
Similar Records
Collective coordinates for nonlinear Klein-Gordon field theories
Exact solutions of nonlinear generalizations of the Klein Gordon and Schrodinger equations
Scattering of Klein–Gordon particles by a Kink-like potential
Thesis/Dissertation
·
Wed Dec 31 23:00:00 EST 1986
·
OSTI ID:6989153
Exact solutions of nonlinear generalizations of the Klein Gordon and Schrodinger equations
Journal Article
·
Tue Oct 31 23:00:00 EST 1978
· J. Math. Anal. Appl.; (United States)
·
OSTI ID:6090275
Scattering of Klein–Gordon particles by a Kink-like potential
Journal Article
·
Sat Mar 15 00:00:00 EDT 2014
· Annals of Physics (New York)
·
OSTI ID:22224309
Related Subjects
657000* -- Theoretical & Mathematical Physics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
CENTER-OF-MASS SYSTEM
COORDINATES
DIFFERENTIAL EQUATIONS
EIGENVALUES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
LASL
LORENTZ TRANSFORMATIONS
MATHEMATICAL MODELS
NATIONAL ORGANIZATIONS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
TRANSFORMATIONS
US AEC
US DOE
US ERDA
US ORGANIZATIONS
WAVE EQUATIONS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
CENTER-OF-MASS SYSTEM
COORDINATES
DIFFERENTIAL EQUATIONS
EIGENVALUES
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GREEN FUNCTION
LASL
LORENTZ TRANSFORMATIONS
MATHEMATICAL MODELS
NATIONAL ORGANIZATIONS
NONLINEAR PROBLEMS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
TRANSFORMATIONS
US AEC
US DOE
US ERDA
US ORGANIZATIONS
WAVE EQUATIONS