Quantum kinematics of spacetime. I. Nonrelativistic theory

Journal Article · Sun May 15 04:00:00 EDT 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.2818· OSTI ID:5182890

Hartle, J B

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 Schroedinger-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.

• Research Organization: Department of Physics, University of California, Santa Barbara, California 93106
• OSTI ID: 5182890
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BANACH SPACE
HAMILTONIANS
HEISENBERG PICTURE
HILBERT SPACE
INVARIANCE PRINCIPLES
LORENTZ INVARIANCE
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
QUANTUM MECHANICS
QUANTUM OPERATORS
SCHROEDINGER PICTURE
SPACE
SPACE-TIME