LMC complexity for the ground states of different quantum systems

Lower bound for the shape complexity measure of López-Ruiz–Mancini–Calbet (LMC), CLMCCLMC is studied. 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, CLMCCLMC is found to be independent of the parameters in the potential which is not the case for the non-homogeneous potentials.