@article {10.3844/jmssp.2007.70.76,
article_type = {journal},
title = {A Priori Estimation of the Resolvent on Approximation of Born-Oppenheimer},
author = {Bouheroum-Mentri, Sabria and Benbernou, Amina},
volume = {3},
year = {2007},
month = {Jun},
pages = {70-76},
doi = {10.3844/jmssp.2007.70.76},
url = {https://thescipub.com/abstract/jmssp.2007.70.76},
abstract = {In this study, we estimate the resolvent of the  two bodies Shrodinger operator perturbed by a potential of Coulombian type on Hilbert space when h tends to zero. Using the Feschbach method, we first distorted it  and then reduced it to a diagonal matrix. We considered a case where two energy levels cross in the classical forbidden region. Under the assumption that the second energy level admits a non degenerate point well and  virial conditions on the others levels, a good estimate of the resolvent  were observed.},
journal = {Journal of Mathematics and Statistics},
publisher = {Science Publications}
}