Exact solutions of Dirac equation for hydrogen atom using the linear combination of orthogonal Laguerre basis functions

Abstract The associated Laguerre polynomials are very popular in the Schrödinger equation of nonrelativistic quantum mechanics. However, the situation is quite different in the case of the Dirac equation of relativistic quantum mechanics. The exact solutions of the Dirac equation for three-dimension...

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Bibliographic Details
Main Author: Shudong Wu
Format: Article
Language:English
Published: Nature Portfolio 2025-05-01
Series:Scientific Reports
Subjects:
Online Access:https://doi.org/10.1038/s41598-025-01139-3
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