DETERMINATION OF SOME USEFUL FUNCTIONS IN ATOMIC STRUCTURE COMPUTATIONS
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Keywords

Atomic structure
atoms
expectation values
gamma function

How to Cite

DETERMINATION OF SOME USEFUL FUNCTIONS IN ATOMIC STRUCTURE COMPUTATIONS. (2024). 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

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.

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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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