Generalized Invariants and Quantum Evolution of Open Fermionic System

Details Generalized Invariants and Quantum Evolution of Open Fermionic System Generalized Invariants and Quantum Evolution of Open Fermionic System

1999-10-25

arxiv.org/abs/hep-th/9910189v3

Phys.Lett.A272:46-52,2000

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 10 pages, no figures; replaced by the version to be published in Phys. Lett. A; the validity of the Liouville-von Neuma

Scientific paper

10.1016/S0375-9601(00)00406-0

Open systems acquire time-dependent coupling constants through interaction with an external field or environment. We generalize the Lewis-Riesenfeld invariant theorem to open system of quantum fields after second quantization. The generalized invariants and thereby the quantum evolution are found explicitly for time-dependent quadratic fermionic systems. The pair production of fermions is computed and other physical implications are discussed.

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