Momentum space wave functions for the linear potential

Version 1.0
Stadler, Alfred, 2025, "Momentum space wave functions for the linear potential", https://doi.org/10.5072/FK2/A7BNVN, Repositório ACNCA, V1
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Description
Normalized momentum space wave functions for the linear potential. The Schrödinger equation was solved with the methods described in "A simple high-accuracy method for solving bound-state equations with the Cornell potential in momentum space", Alfred Stadler, Elmar P. Biernat, Vasco Valverde. arXiv:2407.21789 [hep-ph] (to be pulished in Physical Review D). The wave functions correspond to the energie eigenvalues shown in Table VI of this work. The name of each file indicates the orbital angular momentum and which eigenstates it contains. For instance, wf_n1-5_l=0_np=1000_NL=5.txt contains the wave functions of the states n=1, 2, 3, 4, 5 for l=0, and wf_n6-10_l=3_np=1000.txt the wave functions of the states n=6, 7, 8, 9, 10 for l=3. Furthermore, np=1000 means that 1000 momentum integration points were used for the solution of the Schrödinger equation, and NL=5 or NL=15 means that 5 or 15 points were used for the Lagrange interpolations. Each data file in text format contains 6 columns and 1000 lines. Column 1 ist the momentum (GeV), columns 2-6 the wave functions. The momenta were generated according to Eq. (4.3) of the article, with p_0=1.
Subject Physics
Keyword Schrödinger equation, Momentum space, Linear potential, Integral equations, Nyström method
Related Publication Is Referenced By: Preprint: arXiv:2407.21789 (arXiv)arXiv: 2407.21789
Notes Stadler, A. (2024). Momentum space wave functions for the linear potential (1.0.0) [Data set]. Zenodo. https://doi.org/10.5281/zenodo.14217823
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