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|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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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