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The Moments of the Hydrogen Atom by the Method of Brackets

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arxiv 1505.06274 v3 pith:YEVSEJPW submitted 2015-05-23 math-ph math.MP

Ivan Gonzalez , Karen T. Kohl , Igor Kondrashuk , Victor H. Moll , Daniel Salinas This is my paper · ORCID
classification math-phmath.MP
keywords bracketshydrogenintegralmethodarbitraryassociatedatomaverage
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Expectation values of powers of the radial coordinate in arbitrary hydrogen states are given, in the quantum case, by an integral involving the associated Laguerre function. The method of brackets is used to evaluate the integral in closed-form and to produce an expression for this average value as a finite sum.

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  1. Quadratic and quartic integrals using the method of brackets

    math-ph 2019-09 conditional novelty 5.0 of 10

    The method of brackets is applied to evaluate quadratic and quartic integrals, producing hypergeometric closed forms that extend known table entries and provide new identities.

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