Positive particle frequencies in some time-periodic universes

Details Positive particle frequencies in some time-periodic universes Positive particle frequencies in some time-periodic universes

Mar 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996lmaph..36..277d&link_type=abstract

Letters in Mathematical Physics, Volume 36, Issue 3, pp.277-290

Mathematics

Mathematical Physics

4

Scientific paper

We consider the Klein-Gordon equation in FRW-like universes which are periodic in a suitable scale of time. In a remarkable sector of solutions, the Floquet theory of differential equations allows for generalizing the notion of particle frequency. In this sense, the sesquilinear form associated with Gordon's current is positive definite when restricted to the sub-sector of positive frequencies.

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