Nonlinear Phenomena in Complex Systems, 2010, Vol.13, No.3, pp.315-319

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2010, Vol.13, No.3, pp.315-319

Cosmological Production of Fermions in a Flat Friedman Universe with Linearly Growing Scale Factor: Exactly Solvable Model.
S. V. Anischenko, S. L. Cherkas, and V. L. Kalashnikov

We consider an exactly solvable model for production of fermions in the Friedman flat universe with a scale factor linearly growing with time. Exact solution expressed through the special functions admits an analytical calculation of the number density of created particles. We also discuss in general the role of the phenomenon of the cosmological particle production in the history of Universe.
Key words: production of fermions, Friedman flat universe, exact vacuum state

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