Published September 15, 1979 | Version v1
Journal article Metadata-only

Localized solutions of the nonlinear Heisenberg-Klein-Gordon equation: In flat and exterior Schwarzschild space-time

Creators

  • 1. Philosophisches Seminar der Christian-Albrechts Universitaet Kiel, Olshausenstrasse 40-60, 2300 Kiel, Federal Republic of Germany

Description

A nonlinear complex scalar field theory associated with a ''squared'' Heisenberg-Pauli-Weyl nonlinear spinor equation is considered. We numerically calculate static and radially localized solutions of the resulting Heisenberg-Klein-Gordon equation both in flat space-time and under the influence of the effective potential produced by an external Schwarzschild geometry of strong gravity. The semiclassical energy spectrum for ''solitonlike'' solutions with quantized charge is analyzed with respect to the various free parameters of our model. Finally, some speculations are presented with the aim of relating these results to particle physics

Additional details

Publishing Information

Journal Title
Phys. Rev., D
Journal Volume
20
Journal Issue
6
Series
Phys. Rev., D.
Journal Page Range
1303-1312
ISSN
0556-2821

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
11514836
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANALYTICAL SOLUTION; ENERGY SPECTRA; GRAVITATION; KLEIN-GORDON EQUATION; LAGRANGIAN FUNCTION; NONLINEAR PROBLEMS; SCALAR FIELDS; SCHWARZSCHILD METRIC; SEMICLASSICAL APPROXIMATION; SOLITONS; SPACE-TIME; SPINORS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; FUNCTIONS; METRICS; QUASI PARTICLES; SPECTRA