Edward R. Floyd
Published 1999-07-28, updated 2000-02-12Version 3
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.
Comments: 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
Journal: Int.J.Mod.Phys. A15 (2000) 1363-1378
Locality and the classical limit of quantum mechanics
Path integrals, spontaneous localisation, and the classical limit
The role of self-induced decoherence in the problem of the classical limit of quantum mechanics
