The effect of space-time curvature on Hilbert space

Details The effect of space-time curvature on Hilbert space The effect of space-time curvature on Hilbert space

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990gregr..22..259c&link_type=abstract

General Relativity and Gravitation, Volume 22, Issue 3, pp.259-267

Physics

11

Scientific paper

A new, unified basis for the study of gravitational effects in quantum and classical systems described by linear wave equations has been obtained by means of a covariant generalization of Berry's phase. The new formulation reveals aspects of the interaction of particles with weak gravitational fields hitherto thought to apply only to the stationary, nonrelativistic case. Though the emerging gauge structure is that of general relativity, weak gravitational fields behave as non-local vector fields. Their action on wave functions amounts, in first order, to a phase factor. Some effects predicted in the literature are re-calculated and extended to the fully relativistic regime. New effects are also predicted. The new approach affords a more precise description and a better understanding of particle interferometry as a tool to study gravitation.

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