Matrix elements for the morse and coulomb interactions. Scientia Magna | June 1, 2007| | COPYRIGHT 2007 American Research Press. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan.  All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information) Copyright

Abstract We show the usefulness of the hypervirial theorem to obtain the matrix elements (m|[e.sup.-[gamma]au]|n> for the Morse potential. Besides, it is known that the hydrogenlike atom can be studied as a Morse oscillator, then here we prove that these fact leads to an interesting method to calculate for the Coulomb interaction.

Keywords Hypervirial theorem, coulomb and Morse potentials, langer transformation, matrix elements.

[section] 1. Introduction

In [1] it was applied the hypervirial theorem (HT) to determine matrix elements for the ...

<[N.sub.2]|[e.sup.-[gamma]u]|[N.sub.1]><[r.sup.[??]]*>

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