Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-05-24
J.Phys.A33:2081-2096,2000
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, LaTex, 4 ps-figs; revised version; few small parts changed
Scientific paper
10.1088/0305-4470/33/10/310
We study the behavior of bound energy levels for the case of two classical interacting fields $\phi$ and $\chi$ in a finite domain (box) in (1 + 1) dimension on which we impose Dirichlet boundary conditions (DBC). The total Lagrangian contain a $\frac{\lambda}{4}\phi^4$ self-interaction and an interaction term given by $g \phi^2 \chi^2$. 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 $\beta = \frac{M^{2}_{\chi}}{M^{2}_{\phi}}$, and interaction coupling constants $\lambda$ 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 $\chi$ appear.
Adolfo Maia Jr.
Espichan Carrillo J. A.
No associations
LandOfFree
Energy Levels of Classical Interacting Fields in a Finite Domain in 1+1 Dimension does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Energy Levels of Classical Interacting Fields in a Finite Domain in 1+1 Dimension, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Energy Levels of Classical Interacting Fields in a Finite Domain in 1+1 Dimension will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-127072