Hydrogen-atom spectrum under a minimal-length hypothesis

Details Hydrogen-atom spectrum under a minimal-length hypothesis Hydrogen-atom spectrum under a minimal-length hypothesis

2005-02-25

arxiv.org/abs/hep-th/0502222v2

Phys.Rev. A72 (2005) 012104

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 3 figures, typos corrected, reference added

Scientific paper

10.1103/PhysRevA.72.012104

The energy spectrum of the Coulomb potential with minimal length commutation relations $[X_i, P_j] = i\hbar\{\delta_{ij}(1+\beta P^2) + \beta'P_iP_j\}$ is determined both numerically and perturbatively for arbitrary values of $\beta'/\beta$ and angular momenta $\ell$. The constraint on the minimal length scale from precision hydrogen spectroscopy data is of order of a few GeV$\null^{-1}$, weaker than previously claimed.

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