Bound states of hydrogen atom in a theory with minimal length uncertainty relations

DOI10.1063/1.2423221zbMath1144.81413OpenAlexW2082112519MaRDI QIDQ3529751

Joseph Slawny

Publication date: 14 October 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10919/25123

zbMATH Keywords

reduced Hamiltonianinfinite number of bound statesnumerical and perturbative calculations

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Atomic physics (81V45)

Related Items (5)

30 years in: Quo vadis generalized uncertainty principle? ⋮ Position and length operators in a theory with minimal length ⋮ Maximally-localized position, Euclidean path-integral, and thermodynamics in GUP quantum mechanics ⋮ RELATIVISTIC PARTICLE IN ELECTROMAGNETIC FIELDS WITH A GENERALIZED UNCERTAINTY PRINCIPLE ⋮ Klein paradox for the bosonic equation in the presence of minimal length

Cites Work

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• Minimal length uncertainty relation and the hydrogen spectrum
• Position and length operators in a theory with minimal length
• Non-pointlike particles in harmonic oscillators
• Minimal length uncertainty relation and the hydrogen atom

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