DETERMINACION DE ALGUNAS FUNCIONES UTILES EN CALCULOS DE ESTRUCTURA ATOMICA

Diógenes Campos

doi:10.18257/raccefyn.21(79).1997.2959

Vol. 21 No. 79 (1997), Physical Sciences

Vol. 21 No. 79 (1997)

DETERMINATION OF SOME USEFUL FUNCTIONS IN ATOMIC STRUCTURE COMPUTATIONS

Physical Sciences

https://doi.org/10.18257/raccefyn.21(79).1997.2959

Published 2024-08-09

Diógenes Campos⁺⁻

Diógenes Campos

Departamento de Física, Universidad Nacional de Colombia, Bogotá.

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How to Cite

Campos, D. (2024). DETERMINATION OF SOME USEFUL FUNCTIONS IN ATOMIC STRUCTURE COMPUTATIONS. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 21(79), 97–105. https://doi.org/10.18257/raccefyn.21(79).1997.2959

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Abstract

A set of analytic formulae and recurrence relations are derived to evaluate sorne integrals used in atomic physics. The integrals are related with the incomplete gamma function.

https://doi.org/10.18257/raccefyn.21(79).1997.2959

Keywords

Atomic structure | atoms | expectation values | gamma function

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References

Abramowitz, M. & I.A. Stegun, 1964. Handbook of Mathematical Functions. New York: Dover.

Brandsden, B.H. & C.J. Joachain, 1983. Physics of Atoms and Molecules. London: Longman.

Bronstein, I. & K. Semendajew, 1972. Taschenbuch der Mathematik. Frankfurt/Main: Verlag Harri Deutsch.

Gradshteyn, I.S. & I.M. Ryzhik, 1965. Table of Integrals, Series, and Products. New York: Academic Press.

Lebedew, N.N., 1973. Spezielle Funktionen und ihre Anwendung. Wien: Wissenschaftsverlag Bibliographisches Institut.

Magnus, W., F. Oberhettinger, & R.P. Soni, 1966. Formulas and Theorems for the Special Functions of Mathematical Physics. New York: Springer.

Wolfram, S., 1991. Mathematica: A System for Doing Mathematics by Computer. Redwood City: Addison-Wesley.

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