Lower Bound for LMC complexity measure

Agnes Nagy; K. D. Sen; H. E. Montgomery

paper

Lower Bound for LMC complexity measure

arXiv:0904.3781

Abstract

Lower bound for the shape complexity measure of López-Ruiz-Mancini-Calbet (LMC), $C_{L M C}$ , 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, $C_{L M C}$ is found to be independent of the parameters in the potential which is not the case for the non-homogeneous potentials.

11 pages, 1 figure