Hydrogen-atom spectrum under a minimal-length hypothesis
نویسندگان
چکیده
منابع مشابه
Minimal Length Uncertainty Relation and Hydrogen Atom
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. ...
متن کاملMinimal length uncertainty relation and the hydrogen atom
We propose a new approach to calculate perturbatively the effects of a particular deformed Heisenberg algebra on an energy spectrum. We use this method to calculate the harmonic oscillator spectrum and find that the 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 a...
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An old result of A.F. Stevenson [Phys. Rev. 59, 842 (1941)] concerning the CoulombKepler quantum problem on the three-dimensional (3D) hypersphere is generalized to radial Schroedinger equations on 3D spaces of constant curvature with the curvature index explicitly included in the mathematical framework. Contrary to Stevenson, we show in detail how to get the hypergeometric wavefunction for the...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2005
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.72.012104