Schrödinger's equation in general relativity

Details Schrödinger's equation in general relativity Schrödinger's equation in general relativity

Nov 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aipc..493..243v&link_type=abstract

Eighth Canadian conference on general relativity and relativistic astrophysics. AIP Conference Proceedings, Volume 493, pp. 243

Astronomy and Astrophysics

Astrophysics

Quantum Field Theory In Curved Spacetime

Scientific paper

A process of operator replacement leads to a generalization of Schrodinger's equation to curved space-time, linking general relativity and quantum mechanics in a natural way. This fourth-order equation, which reduces and specializes to the Klein-Gordon equation in the flat space limit, must be solved in tandem with the Einstein field equations with suitable stress-energy. The flat space propagator, for large momenta, varies as 1/p4, meaning that divergences should be less problematic than in standard theories. Approximate solutions can be obtained for static, spherically-symmetric scalar fields.

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