Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-05-28
J.Phys.A30:8157-8166,1997
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, Revtex, 3 f igures
Scientific paper
10.1088/0305-4470/30/23/015
In this paper we consider a class of systems of two coupled real scalar fields in bidimensional spacetime, with the main motivation of studying classical or linear stability of soliton solutions. Firstly, we present the class of systems and comment on the topological profile of soliton solutions one can find from the first-order equations that solve the equations of motion. After doing that, we follow the standard approach to classical stability to introduce the main steps one needs to obtain the spectra of Schr\"odinger operators that appear in this class of systems. We consider a specific system, from which we illustrate the general calculations and present some analytical results. We also consider another system, more general, and we present another investigation, that introduces new results and offers a comparison with the former investigations.
Bazeia Dionisio
Nascimento J. R. S.
Ribeiro R. F.
Toledo Domingo
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