%0 Journal Article
%T The Klein-Gordon's field. A counter-example of the classical limit
%A Jaume Haro
%J Physics
%D 2000
%I arXiv
%X We will study the Klein-Gordon's field with an homogeneous external potential, which does not depend on $\h$. We will construct the Fock's space corresponding to our problem and we will see that there are phenomena of creation and anihilation of pairs particle-antiparticle. Finally, we will see that in dimension 1, when $\h\to 0$, these phenomena disappear. However, in dimension 2 or 3, when $\h\to 0$, the creation probability of particle-antiparticle pairs is not zero.
%U http://arxiv.org/abs/math-ph/0002042v1