dorsal/arxiv
View SchemaThe high energy limit of the trajectory representation of quantum mechanics
| Authors | Edward R. Floyd |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302128 |
| URL | https://arxiv.org/abs/quant-ph/0302128 |
| DOI | 10.1007/0-306-48052-2_40 |
Abstract
The trajectory representation in the high energy limit (Bohr correspondence principle) manifests a residual indeterminacy. This indeterminacy is compared to the indeterminacy found in the classical limit (Planck's constant to 0) [Int. J. Mod. Phys. A 15, 1363 (2000)] for particles in the classically allowed region, the classically forbiden region, and near the WKB turning point. The differences between Bohr's and Planck's principles for the trajectory representation are compared with the differences between these correspondence principles for the wave representation. The trajectory representation in the high energy limit is shown to go to neither classical nor statistical mechanics. The residual indeterminacy is contrasted to Heisenberg uncertainty. The relationship between indeterminacy and 't Hooft's information loss and equivalence classes is investigated.
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"abstract": "The trajectory representation in the high energy limit (Bohr correspondence\nprinciple) manifests a residual indeterminacy. This indeterminacy is compared\nto the indeterminacy found in the classical limit (Planck\u0027s constant to 0)\n[Int. J. Mod. Phys. A 15, 1363 (2000)] for particles in the classically allowed\nregion, the classically forbiden region, and near the WKB turning point. The\ndifferences between Bohr\u0027s and Planck\u0027s principles for the trajectory\nrepresentation are compared with the differences between these correspondence\nprinciples for the wave representation. The trajectory representation in the\nhigh energy limit is shown to go to neither classical nor statistical\nmechanics. The residual indeterminacy is contrasted to Heisenberg uncertainty.\nThe relationship between indeterminacy and \u0027t Hooft\u0027s information loss and\nequivalence classes is investigated.",
"arxiv_id": "quant-ph/0302128",
"authors": [
"Edward R. Floyd"
],
"categories": [
"quant-ph",
"hep-th"
],
"doi": "10.1007/0-306-48052-2_40",
"title": "The high energy limit of the trajectory representation of quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0302128"
},
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