Lower Bound for LMC complexity measure
Chemical Physics
2009-04-27 v1 Atomic Physics
Abstract
Lower bound for the shape complexity measure of L\'opez-Ruiz-Mancini-Calbet (LMC), , is derived. Analytical relations for simple examples of the harmonic oscillator, the hydrogen atom and two-electron 'entangled artificial' atom proposed by Moshinsky are derived. Several numerical examples of the spherically confined model systems are presented as the test cases. For the homogeneous potential, is found to be independent of the parameters in the potential which is not the case for the non-homogeneous potentials.
Keywords
Cite
@article{arxiv.0904.3781,
title = {Lower Bound for LMC complexity measure},
author = {Agnes Nagy and K. D. Sen and H. E. Montgomery},
journal= {arXiv preprint arXiv:0904.3781},
year = {2009}
}
Comments
11 pages, 1 figure