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

Abstract

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.

12 pages LaTeX 2.09. No figures. Accepted by Int. J. Mod. Phys. A. Minor revisions to conform with galley proofs. Acknowledgements expanded. References updated. Key words: classical limits, trajectory interpretation, Planck's correspondence principle, residual indeterminacy, 't Hooft's information loss and equivalence classes, Heisenberg uncertainty principle. Subj-clas: Quantum Physics; Mathematical Physics

References in corpus (1)

• Quantum Gravity as a Dissipative Deterministic System

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