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|Type:||Artigo de periódico|
|Title:||Energy levels of classical interacting fields in a finite domain in 1+1 dimensions|
|Abstract:||We study the behaviour of bound energy levels for the case of two classical interacting fields phi and chi in a finite domain (box) in 1+1 dimensions upon which we impose Dirichlet boundary conditions. The total Lagrangian contains a lambda/4 phi(4) self-interaction and an interaction term given by g phi(2)chi(2). 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 beta = M-chi(2)/M-phi(2), and interaction coupling constants lambda 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 chi appear.|
|Editor:||Iop Publishing Ltd|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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