
Physics 2000
The KleinGordon's field. A counterexample of the classical limitAbstract: We will study the KleinGordon'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 particleantiparticle. 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 particleantiparticle pairs is not zero.
