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The Hydrogen Atom within a pseudo-complex Quantum Mechanics, involving a minimal length
arXiv
Authors: Peter O Hess
Year
2021
Paper ID
41301
Status
Preprint
Abstract Read
~2 min
Abstract Words
81
Citations
N/A
Abstract
The hydrogen atom is investigated, within a pseudo-complex extension of the coordinates and momenta, which introduces a minimal length scale (l) and results into a non-commutative Quantum Mechanics. After resuming the pseudo-complex extension of Quantum Mechanics, the modified energies of the hydrogen atom are deduced, producing corrections of the order of the square of the minimal length scale. Using the Lamb Shift, we obtain an upper boundary for the minimal length scale l, orders of magnitude more restrictive than former estimations.
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- The hydrogen atom is investigated, within a pseudo-complex extension of the coordinates and momenta, which introduces a minimal length scale (l) and results into a...
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