2021/11/24 by Peter O. Hess, Hess, Peter O
Physics and Astronomy · #FOS: Physical sciences #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2111.14618
openalex publication_date 2021/11/24 · openalex created_date 2022/11/07 · openalex updated_date 2026/07/28
The hydrogen atom is investigated, within a pseudo-complex extension of the\ncoordinates and momenta, which introduces a minimal length scale (l) and\nresults into a non-commutative Quantum Mechanics. After resuming the\npseudo-complex extension of Quantum Mechanics, the modified energies of the\nhydrogen atom are deduced, producing corrections of the order of the square of\nthe minimal length scale. Using the Lamb Shift, we obtain an upper boundary for\nthe minimal length scale l, orders of magnitude more restrictive than former\nestimations.\n