Coupled Klein-Gordon-Schroedinger equations. II
A classical model that describes a system of conserved scalar nucleons interacting with neutral scalar mesons is considered. The dynamics of these fields are coupled through the Yukawa interaction. In the case of relativistic fields, that is, when nucleons are described by Dirac spinor fields, the coupled Klein-Gordon-Dirac equations are encountered. Both Klein-Gordon-Dirac equations and Klein-Gordon-Schroedinger equations have energy forms indefinite in nature. The initial-boundary value problem for the coupled Klein-Gordon-Schroedinger equations in three space dimensions is discussed here. The purpose is to establish the existence and uniqueness theorems of global C/sup x/-solutions of the initial-boundary value problem. The main difficulties lie in the proof of the existence of strong solutions and their regularity properties. (RWR)
- Research Organization:
- Kokushikan Univ., Tokyo, Japan
- OSTI ID:
- 5041634
- Journal Information:
- J. Math. Anal. Appl.; (United States), Journal Name: J. Math. Anal. Appl.; (United States) Vol. 66:2; ISSN JMANA
- Country of Publication:
- United States
- Language:
- English
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANALYTICAL SOLUTION
BOSONS
BOUNDARY-VALUE PROBLEMS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
KLEIN-GORDON EQUATION
MESON-BARYON INTERACTIONS
MESON-NUCLEON INTERACTIONS
MESONS
NUCLEAR POTENTIAL
PARTICLE INTERACTIONS
POTENTIALS
SCALAR FIELDS
SCALAR MESONS
SCHROEDINGER EQUATION
SPINOR FIELDS
THREE-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS
YUKAWA POTENTIAL