Energy Levels of Classical Interacting Fields in a Finite Domain in 1+1 Dimension
| dc.creator | Carrillo, J. A. Espichan | |
| dc.creator | Maia Jr, A. | |
| dc.date | 1999-05-24 | |
| dc.date | 1999-09-17 | |
| dc.date.accessioned | 2026-07-07T10:54:03Z | |
| dc.date.available | 2026-07-07T10:54:03Z | |
| dc.description | 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 $\fracλ{4}ϕ^4$ self-interaction and an interaction term given by $g ϕ^2 χ^2$. 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 $β= \frac{M^{2}_χ}{M^{2}_ϕ}$, 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. | |
| dc.description | 20 pages, LaTex, 4 ps-figs; revised version; few small parts changed | |
| dc.identifier | https://arxiv.org/abs/hep-th/9905171 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9905171 | |
| dc.identifier | J.Phys.A33:2081-2096,2000 | |
| dc.identifier | doi:10.1088/0305-4470/33/10/310 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185691 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Energy Levels of Classical Interacting Fields in a Finite Domain in 1+1 Dimension | |
| dc.type | text |