Phys. Rev. D 37, 2818–2832 (1988)Quantum kinematics of spacetime. I. Nonrelativistic theorySee Also: Erratum Received 26 October 1987; published in the issue dated 15 May 1988 The sum-over-histories quantum mechanics of a nonrelativistic particle gives a spacetime formulation of that theory in which the preferred Newtonian time does not enter immediately into the quantum kinematics. We investigate on what spacetime hypersurfaces a Schrödinger-Heisenberg formulation of the theory can be recovered and conclude that, in general, this is possible only on the surfaces of constant preferred Newtonian time. The significance of this for a quantum theory of spacetime is discussed. © 1988 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.37.2818
DOI:
10.1103/PhysRevD.37.2818
PACS:
04.60.+n, 03.65.Bz, 03.65.Db
See AlsoErratum: J. B. Hartle, Erratum: Quantum kinematics of spacetime. I. Nonrelativistic theory, Phys. Rev. D 43, 1434 (1991). See Also: J. B. Hartle, Quantum kinematics of spacetime. II. A model quantum cosmology with real clocks, Phys. Rev. D 38, 2985 (1988). |
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