Phys. Rev. D 46, 620–626 (1992)

Boundary Schrödinger equation in quantum geometrodynamics

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Geoff Hayward^*
Department of Physics, University of British Columbia, Vancouver, British Columbia, Canada V6T 2A6

Ken Wong^†
Institute of Applied Mathematics, Department of Mathematics, University of British Columbia, Vancouver, British Columbia, Canada V6T 2A6

Received 18 February 1992; published in the issue dated 15 July 1992

We consider the quantum geometrodynamical propagator for a spatially bounded system. We formally derive a geometrodynamical Schrödinger equation which is expected to govern the time evolution of observables as measured on the spatial boundary of the system. We show that in the weak gravity limit the boundary Schrödinger equation reduces to the usual functional Schrödinger equation for the matter fields.

URL:

http://link.aps.org/doi/10.1103/PhysRevD.46.620

DOI:

10.1103/PhysRevD.46.620

PACS:

04.60.+n

^*Electronic address: ghayward@physics.ubc.ca.

^†Electronic address: kwong@physics.ubc.ca.

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Phys. Rev. D 46, 620–626 (1992)

Boundary Schrödinger equation in quantum geometrodynamics

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