0603042v1

related topics
{energy, state, states}
{equation, function, exp}
{force, casimir, field}
{vol, operators, histories}
{operator, operators, space}
{level, atom, field}
{cavity, atom, atoms}
{group, space, representation}
{information, entropy, channel}

Perturbation hydrogen-atom spectrum in deformed space with minimal length

M. M. Stetsko, V. M. Tkachuk

abstract: We study energy spectrum for hydrogen atom with deformed Heisenberg algebra leading to minimal length. We develop correct perturbation theory free of divergences. It gives a possibility to calculate analytically in the 3D case the corrections to $s$-levels of hydrogen atom caused by the minimal length. Comparing our result with experimental data from precision hydrogen spectroscopy an upper bound for the minimal length is obtained.

oai_identifier:
oai:arXiv.org:quant-ph/0603042
categories:
quant-ph
comments:
9 pages, 3 figures
doi:
10.1103/PhysRevA.74.012101
arxiv_id:
quant-ph/0603042
journal_ref:
Phys. Rev. A. 74, 012101, 2006
created:
2006-03-06

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