Classical Limit of the Trajectory Representation of Quantum Mechanics, Loss of Information and Residual Indeterminacy

Physics – Quantum Physics

Scientific paper

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12 pages LaTeX 2.09. No figures. Accepted by Int. J. Mod. Phys. A. Minor revisions to conform with galley proofs. Acknowledgem

Scientific paper

10.1142/S0217751X00000604

The trajectory representation in the classical limit (\hbar \to 0) manifests a residual indeterminacy. We show that the trajectory representation in the classical limit goes to neither classical mechanics (Planck's correspondence principle) nor statistical mechanics. This residual indeterminacy is contrasted to Heisenberg uncertainty. We discuss the relationship between indeterminacy and 't Hooft's information loss and equivalence classes.

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