@Article{JAMS-5-187,
author = {Sasmal , Gyanendra P.},
title = {On Computation for a Hydrogen Atom in Arbitrary Magnetic Fields Using Finite Volume Method},
journal = {Journal of Atomic and Molecular Sciences},
year = {2014},
volume = {5},
number = {3},
pages = {187--205},
abstract = {<p style="text-align: justify;">The Schrödinger equation in a 2D cylindrical coordinate system is numerically solved for the ground state and
 a few excited states of the hydrogen atom in arbitrary magnetic fields. The second order discretization of the 
PDEs on finite volumes results in a set of algebraic equations that are solved simultaneously using Gauss-Seidel 
Algebraic Multi-Grid (AMG) solver. The modified Stodola-Vianello method is implemented using Gram-Schmidt 
orthogonalization process to extract the first few energy states and their wave functions concurrently. A 
detailed mesh convergence study suggests that both energies and wave functions correctly approach toward the 
unknown exact solutions.</p>},
issn = {2079-7346},
doi = {https://doi.org/10.4208/jams.110813.021414a},
url = {http://global-sci.org/intro/article_detail/jams/8306.html}
}