On the N-dimensional hydrogen atom in momentum representation
Mehdi Hage-Hassan (UL)
TL;DR
This paper derives the wave function of the N-dimensional hydrogen atom in momentum space, including phase factors, using generating functions and Hankel's integral, advancing theoretical understanding of quantum systems.
Contribution
It introduces a novel derivation method for the N-dimensional hydrogen atom wave function in momentum representation, incorporating phase factors.
Findings
Explicit wave function expression in momentum space
Application of generating functions and Hankel's integral methods
Enhanced theoretical framework for N-dimensional quantum systems
Abstract
We derive the wave function for N-dimensional hydrogen atom in the momentum representation with the phase factor using the generating function method and Hankel's integral.
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Taxonomy
TopicsQuantum, superfluid, helium dynamics · Advanced Chemical Physics Studies · Nuclear physics research studies