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Minimal Length Uncertainty Relation and the Hydrogen Spectrum
- Publication Year :
- 2003
- Publisher :
- arXiv, 2003.
-
Abstract
- Modifications of Heisenberg's uncertainty relations have been proposed in the literature which imply a minimum position uncertainty. We study the low energy effects of the new physics responsible for this by examining the consequent change in the quantum mechanical commutation relations involving position and momenta. In particular, the modifications to the spectrum of the hydrogen atom can be naturally interpreted as a varying (with energy) fine structure constant. From the data on the energy levels we attempt to constrain the scale of the new physics and find that it must be close to or larger than the weak scale. Experiments in the near future are expected to change this bound by at least an additional order of magnitude.<br />Comment: 8 pages, no figure. Corrected typos, added a reference with comments
- Subjects :
- Physics
Nuclear and High Energy Physics
Scale (ratio)
Physics beyond the Standard Model
FOS: Physical sciences
Fine-structure constant
Hydrogen atom
High Energy Physics - Phenomenology
High Energy Physics - Phenomenology (hep-ph)
Position (vector)
Quantum mechanics
Quantum
Hydrogen spectral series
Order of magnitude
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....d309cf9a0df7173f9a6165a4a75976f1
- Full Text :
- https://doi.org/10.48550/arxiv.hep-ph/0302108