Exact treatment of planar two-electron quantum dots: effects of   anharmonicity on the complexity
  Static properties of an anharmonic potential model for planar two-electron quantum dots are investigated using a method which allows for the exact representation of the matrix elements, including the full Coulombic electron - electron interaction. The anharmonic confining potential in combination with the interparticle Coulomb interaction affects the spectral properties of the system considerably as it implies total loss of separability of the system. Properties of the classical phase space, spectral measures of the chaoticity, as well as localization properties of the eigenstates corroborate this. 
Sebastian Schr\"oter, Paul-Antoine Hervieux, Giovanni Manfredi,   Johannes Eiglsperger and Javier Madro\~nero
cond-mat.mes-hall nlin.CD