/ 99 05 17 1 v 2 1 7 Se p 19 99 Energy Levels of Classical Interacting Fields in a Finite Domain in 1 + 1 Dimension
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چکیده
We study the behavior of bound energy levels for the case of two classical interacting fields φ and χ in a finite domain (box) in (1 + 1) dimension on which we impose Dirichlet boundary conditions (DBC). The total Lagrangian contain a λ 4 φ self-interaction and an interaction term given by gφχ. We calculate the energy eigenfunctions and its correspondent eigenvalues and study their dependence on the size of the box (L) as well on the free parameters of the Lagrangian: mass ratio β = M χ M φ , and interaction coupling constants λ and g. We show that for some configurations of the above parameters, there exists critical sizes of the box for which instability points of the field χ appear. E-mail address: [email protected] E-mail address: [email protected] 1
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تاریخ انتشار 2008