The Klein-Gordon's field. A counter-example of the classical limit
Haro, Jaume
arXiv, 0002042 / Harvested from arXiv
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.
Publié le : 2000-02-22
Classification:  Mathematical Physics
@article{0002042,
     author = {Haro, Jaume},
     title = {The Klein-Gordon's field. A counter-example of the classical limit},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002042}
}
Haro, Jaume. The Klein-Gordon's field. A counter-example of the classical limit. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002042/