The Hydrogen atom with minimal length

Benczik, Sandor; Chang, Lay Nam; Minic, Djordje; Takeuchi, Tatsu

doi:10.1103/PhysRevA.72.012104

The Hydrogen atom with minimal length

Feb, 2005

5 pages

Published in:

Phys.Rev.A 72 (2005) 012104

e-Print:

hep-th/0502222 [hep-th]

DOI:

10.1103/PhysRevA.72.012104

Report number:

VPI-IPPAP-05-01

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Abstract:

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.

36.10.Dr
02.40.Gh
31.15.Md
32.10.Fn
03.65.Ge
atom: energy spectrum
hydrogen
potential: Coulomb
commutation relations: deformation
length: minimal

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Figures(0)

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