Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/107087
Type: Artigo de periódico
Title: Energy Levels Of Classical Interacting Fields In A Finite Domain In 1 + 1 Dimensions
Author: Espichan Carrillo J.A.
Maia Jr. A.
Abstract: We study the behaviour of bound energy levels for the case of two classical interacting fields φ and χ in a finite domain (box) in 1 + 1 dimensions upon which we impose Dirichlet boundary conditions. The total Lagrangian contains a λ/4 φ4 self-interaction and an interaction term given by gφ2χ2. We calculate its energy eigenfunctions and its corresponding eigenvalues and study their dependence on the size of the box (L) as well as on the free parameters of the Lagrangian: mass ratio β = M2 χ/M2 φ, and interaction coupling constants λ and g. We show that for some configurations of the above parameters, there exist critical sizes of the box for which instability points of the field χ appear.
Editor: 
Rights: fechado
Identifier DOI: 10.1088/0305-4470/33/10/310
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-0034677613&partnerID=40&md5=f6b2e806760df3a24d98e903c292d990
Date Issue: 2000
Appears in Collections:Unicamp - Artigos e Outros Documentos

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