The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Non-pointlike particles in harmonic oscillators
Open accessAbstract
Quantum mechanics usually describes particles as being pointlike in the sense that, in principle, the uncertainty, , can be made arbitrarily small. Studies on string theory and quantum gravity motivate correction terms to the uncertainty relations which induce a finite lower bound to spatial localization. This structure is implemented into quantum mechanics through small correction terms to the canonical commutation relations. We calculate the perturbations to the energy levels of a particle which is non-pointlike in this sense in isotropic harmonic oscillators, where we find a characteristic splitting of the usually degenerate energy levels. Possible applications are outlined.
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Citations
Cites
QUANTUM GRAVITY AND MINIMUM LENGTH
GARAY, L. J. (1995) · International Journal of Modern Physics A · doi:10.1142/s0217751x95000085 · Cited by 1,371
Cited by
Signatures in the Planck regime
Hossenfelder, S., Bleicher, M., Hofmann, S., Ruppert, J., Scherer, S., & Stöcker, H. (2003) · Physics Letters B · doi:10.1016/j.physletb.2003.09.040 · Cited by 305
Metadata
- Authors
- Kempf, A.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1997-03-21
- Volume
- 30
- Issue
- 6
- Pages
- 2093-2101
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2257133510
- Cited by
- 464
- References
- 1
- FWCI
- 0.65
- Type
- journal article
- Language
- en
- Open access
- green
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- Kempf, A. (1997). Non-pointlike particles in harmonic oscillators. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/30/6/030
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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