Hydrogen-atom spectrum under a minimal-length hypothesis

The energy spectrum of the Coulomb potential with minimal length commutation relations [X{sub i},P{sub j}]=i({Dirac_h}/2{pi}){l_brace}{delta}{sub ij}(1+{beta}P{sup 2})+{beta}{sup '}P{sub i}P{sub j}{r_brace} is determined both numerically and perturbatively for arbitrary values of {beta}{sup �...

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Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2005-07, Vol.72 (1), Article 012104
Main Authors: Benczik, Sándor, Chang, Lay Nam, Minic, Djordje, Takeuchi, Tatsu
Format: Article
Language:English
Subjects:
ACCURACY
ANGULAR MOMENTUM
ATOMIC AND MOLECULAR PHYSICS
ATOMS
COMMUTATION RELATIONS
COULOMB FIELD
ELEMENTARY LENGTH
ENERGY SPECTRA
HYDROGEN
HYPOTHESIS
PERTURBATION THEORY
POTENTIAL ENERGY
SPECTROSCOPY
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Summary:The energy spectrum of the Coulomb potential with minimal length commutation relations [X{sub i},P{sub j}]=i({Dirac_h}/2{pi}){l_brace}{delta}{sub ij}(1+{beta}P{sup 2})+{beta}{sup '}P{sub i}P{sub j}{r_brace} is determined both numerically and perturbatively for arbitrary values of {beta}{sup '}/{beta} and angular momenta l. The constraint on the minimal length scale from precision hydrogen spectroscopy data is of the order of a few GeV{sup -1}, weaker than previously claimed.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.72.012104