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Hypervirial theorem and matrix elements for the Coulomb potential
Author(s) -
LópezBonilla José L.,
Morales Jesús,
Rosales Marco A.
Publication year - 1995
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560530103
Subject(s) - morse potential , coulomb , matrix (chemical analysis) , morse code , physics , quantum mechanics , chemistry , mathematics , engineering , electrical engineering , chromatography , electron
It is well known that hydrogen like atoms may be represented as Morse oscillators. Our aim in this article was to show how this result and the hypervirial theorem lead to a computational method with which the matrix elements for the Coulomb potential can be easily calculated. Also, a closed analytical expression for 〈 n 2 l 2 | r k | n 1 l 1 〉 is obtained. © 1995 John Wiley & Sons, Inc.