The Moments of the Hydrogen Atom By the Method of Brackets

Authors

Ivan Gonzalez, Universidad de Valparaiso
Karen T. Kohl, University of Southern Mississippi
Igor Kondrashuk, Universidad del Bio Bio
Victor H. Moll, Tulane University
Daniel Salinas, Universidad Técnica Federico Santa María

Document Type

Article

Publication Date

1-5-2017

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

© 2017, Institute of Mathematics. All rights reserved. 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.

Publication Title

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Volume

13

Recommended Citation

Gonzalez, I., Kohl, K., Kondrashuk, I., Moll, V., Salinas, D. (2017). The Moments of the Hydrogen Atom By the Method of Brackets. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 13.
Available at: https://aquila.usm.edu/fac_pubs/18451