# A LAGUERRE POLYNOMIAL ORTHOGONALITY AND THE HYDROGEN ATOM

@article{Dunkl2000ALP,
title={A LAGUERRE POLYNOMIAL ORTHOGONALITY AND THE HYDROGEN ATOM},
author={Charles F. Dunkl},
journal={Analysis and Applications},
year={2000},
volume={01},
pages={177-188}
}
• C. Dunkl
• Published 13 November 2000
• Mathematics
• Analysis and Applications
The radial part of the wave function of an electron in a Coulomb potential is the product of a Laguerre polynomial and an exponential with the variable scaled by a factor depending on the degree. This note presents an elementary proof of the orthogonality of wave functions with differing energy levels. It is also shown that this is the only other natural orthogonality for Laguerre polynomials. By expanding in terms of the usual Laguerre polynomial basis, an analogous strange orthogonality is…
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Abstract We construct a two-parameter family of actions ωk,a of the Lie algebra 𝔰𝔩(2,ℝ) by differential–difference operators on ℝN∖{0}. Here k is a multiplicity function for the Dunkl operators,
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A multiresolution algorithm to perform the flaglet transform rapidly, while capturing all information at each wavelet scale in the minimal number of samples on the ball is introduced, which achieves floating-point precision.
For each simple euclidean Jordan algebra V of rank ρ and degree δ, we introduce a family of classical dynamic problems. These dynamical problems all share the characteristic features of the Kepler
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This thesis is a multidisciplinary contribution to the information theory of single-particle Coulomb systems in their relativistic and not relativistic description, to the theory of special functions

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