Wave functions of the Hydrogen atom in the momentum representation

DOI10.1088/1751-8121/ACBC5AOpenAlexW4320891006MaRDI QIDQ5880296

José A. Vallejo, Mariana Kirchbach

Publication date: 7 March 2023

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

Full work available at URL: https://arxiv.org/abs/2208.13989

zbMATH Keywords

hydrogen atomradial momentummomentum space wave functionsspherical wave kernel

Mathematics Subject Classification ID

Quantum theory (81-XX) Harmonic analysis on Euclidean spaces (42-XX)

Uses Software

• DLMF

Cites Work

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• The uncertainty principle: A mathematical survey
• Multi-integral representations for associated Legendre and Ferrers functions
• Alternative approach to the solution of the momentum-space Schrödinger equation for bound states of the N-dimensional Coulomb problem
• A class of sums of Gegenbauer functions: Twenty-four sums in closed form
• Point Transformations in Quantum Mechanics
• Lectures on Quantum Mechanics

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