Publicación: Wave functions of the Hydrogen atom in the momentum representation
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2023-03-03
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info:eu-repo/semantics/openAccess
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IOPscience
Resumen
We 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)
Descripción
This 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/acbc5a
Categorías UNESCO
Palabras clave
Radial momentum, spherical wave kernel, momentum space wave functions, Hydrogen atom
Citación
M Kirchbach and J A Vallejo 2023 J. Phys. A: Math. Theor. 56 125302 https://doi.org/10.1088/1751-8121/acbc5a
Centro
Facultades y escuelas::Facultad de Ciencias
Departamento
Matemáticas Fundamentales