Energy levels of neutral atoms via a new perturbation method
Mustafa, Omar ; Odeh, Maen
arXiv, 0007019 / Harvested from arXiv
Text on arXiv
The energy levels of neutral atoms supported by Yukawa potential, $V(r)=-Z exp(-\alpha r)/r$, are studied, using both dimensional and dimensionless quantities, via a new analytical methodical proposal (devised to solve for nonexactly solvable Schrodinger equation). Using dimensionless quantities, by scaling the radial Hamiltonian through $y=Zr$ and $\alpha^{'}=\alpha/Z$, we report that the scaled screening parameter $\alpha^{'}$ is restricted to have values ranging from zero to less than 0.4. On the other hand, working with the scaled Hamiltonian enhances the accuracy and extremely speeds up the convergence of the energy eigenvalues. The energy levels of several new eligible scaled screening parameter $\alpha^{'}$ values are also reported.
Publié le : 2000-07-14
Classification:  Mathematical Physics 
@article{0007019,
     author = {Mustafa, Omar and Odeh, Maen},
     title = {Energy levels of neutral atoms via a new perturbation method},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0007019}
}

Mustafa, Omar; Odeh, Maen. Energy levels of neutral atoms via a new perturbation method. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0007019/