Kirchbach, MarianaVallejo Rodríguez, José Antonio2024-12-202024-12-202023-03-03M Kirchbach and J A Vallejo 2023 J. Phys. A: Math. Theor. 56 125302 https://doi.org/10.1088/1751-8121/acbc5a1751-8121https://doi.org/10.1088/1751-8121/acbc5ahttps://hdl.handle.net/20.500.14468/25023This is a Submitted Manuscript of an article published by IOPscience in "Journal of Physics A: Mathematical and Theoretical, 56, 12, 2023", available at: https://doi.org/10.1088/1751-8121/acbc5a Este es el manuscrito enviado del artículo publicado por IOPscience en "Journal of Physics A: Mathematical and Theoretical, 56, 12, 2023", disponible en línea: https://doi.org/10.1088/1751-8121/acbc5aWe construct the integral transform passing from the space representation to the radial momentum representation for the Hydrogen atom. The resulting wave functions are explicitly given in terms of complex finite expansions of Gegenbauer functions of the first and second kind, or in terms of (elementary) trigonometric functions. We show their symmetry under the (SO4) group, and their equivalence with those of Lombardi and Ogilvie (2020 Chem. Phys. 538 110886)eninfo:eu-repo/semantics/openAccess12 Matemáticas::1204 GeometríaartículoRadial momentumspherical wave kernelmomentum space wave functionsHydrogen atom