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The Lein-Gordon's field: a counter-example of the classical limit
Haro Cases, Jaume
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I
We will study the Klein-Gordon's field with an homogeneous external potential,which does not depend on ħ. 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 ħ→0, these phenomena disappear. However, in dimension 2 or 3, when ħ→0, the creation probability of particle-antiparticle pairs is not zero.
Àrees temàtiques de la UPC::Matemàtiques i estadística
Quantum theory
Klein-Gordon's field
Quàntums, Teoria dels
Classificació AMS::81 Quantum theory::81Q General mathematical topics and methods in quantum theory
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