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| {field, particle, equation} |
| {classical, space, random} |
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| {energy, gaussian, time} |
| {information, entropy, channel} |
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Classical Limit of the Trajectory Representation of Quantum Mechanics,
Loss of Information and Residual Indeterminacy
Edward R. Floyd
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/9907092
- categories:
- quant-ph hep-th math-ph math.MP
- 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
- doi:
- 10.1142/S0217751X00000604
- arxiv_id:
- quant-ph/9907092
- journal_ref:
- Int.J.Mod.Phys. A15 (2000) 1363-1378
- created:
- 1999-07-28
- updated:
- 2000-02-12
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