Relativistic quantum chaos in Robertson-Walker cosmologies.

Details Relativistic quantum chaos in Robertson-Walker cosmologies. Relativistic quantum chaos in Robertson-Walker cosmologies.

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991jmp....32.2571t&link_type=abstract

Journal of Mathematical Physics, Vol. 32, No. 10, p. 2571 - 2579

Mathematics

Mathematical Physics

23

Scientific paper

Open Robertson-Walker cosmologies of multiple spatial connectivity provide a challenging example for the possible influence of the global topological structure of space-time on the laws of microscopic motion. Free geodesic motion is investigated in such cosmologies in the context of first quantization. A unique localized wave field, a solution of the Klein-Gordon equation, is found as a consequence of the topological structure of the spacelike slices t = const of the manifold. This solution is closely related to the collection of the bounded chaotic trajectories.

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