Lower Bound for LMC complexity measure

Details Lower Bound for LMC complexity measure Lower Bound for LMC complexity measure

2009-04-24

arxiv.org/abs/0904.3781v1

Physics

Chemical Physics

11 pages, 1 figure

Scientific paper

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

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