Fityo, T. V.; Vakarchuk, I. O.; Tkachuk, V. M. One-dimensional Coulomb-like problem in deformed space with minimal length. (English) Zbl 1084.81044 J. Phys. A, Math. Gen. 39, No. 9, 2143-2149 (2006). Summary: The spectrum and eigenfunctions in the momentum representation for a 1D Coulomb-like potential with deformed Heisenberg algebra leading to minimal length are found exactly. It is shown that the correction due to the deformation is proportional to the square root of the deformation parameter. We obtain the same spectrum using the Bohr–Sommerfeld quantization condition. Cited in 23 Documents MSC: 81S10 Geometry and quantization, symplectic methods 53D55 Deformation quantization, star products 81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis 81R15 Operator algebra methods applied to problems in quantum theory PDFBibTeX XMLCite \textit{T. V. Fityo} et al., J. Phys. A, Math. Gen. 39, No. 9, 2143--2149 (2006; Zbl 1084.81044) Full Text: DOI arXiv