1. Minimal length uncertainty relation and the hydrogen atom
- Author
-
Fabian Brau
- Subjects
Physics ,Quantum Physics ,Relation (database) ,Mécanique quantique classique et relativiste ,Spectrum (functional analysis) ,Degenerate energy levels ,FOS: Physical sciences ,General Physics and Astronomy ,Statistical and Nonlinear Physics ,Hydrogen atom ,Deformation (meteorology) ,Upper and lower bounds ,Quantum mechanics ,Quantum Physics (quant-ph) ,Mathematical Physics ,Energy (signal processing) ,Harmonic oscillator - Abstract
We propose a new approach to calculate perturbatively the effects of a particular deformed Heisenberg algebra on energy spectrum. We use this method to calculate the harmonic oscillator spectrum and find that corrections are in agreement with a previous calculation. Then, we apply this approach to obtain the hydrogen atom spectrum and we find that splittings of degenerate energy levels appear. Comparison with experimental data yields an interesting upper bound for the deformation parameter of the Heisenberg algebra., 7 pages, REVTeX
- Published
- 1999
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