Hydrogen-atom spectrum under a minimal-length hypothesis

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

doi:10.1103/PhysRevA.72.012104

Hydrogen-atom spectrum under a minimal-length hypothesis

高能物理 - 理论 2007-05-23 v2

作者: Sandor Benczik , Lay Nam Chang , Djordje Minic , Tatsu Takeuchi

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

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.

关键词

atomic hydrogen and helium systems quantum mechanics potentials precision measurements in physics

引用

@article{arxiv.hep-th/0502222,
  title  = {Hydrogen-atom spectrum under a minimal-length hypothesis},
  author = {Sandor Benczik and Lay Nam Chang and Djordje Minic and Tatsu Takeuchi},
  journal= {arXiv preprint arXiv:hep-th/0502222},
  year   = {2007}
}

备注

4 pages, 3 figures, typos corrected, reference added

Hydrogen-atom spectrum under a minimal-length hypothesis

摘要

关键词

引用

备注

相关论文