Integrability and beyond
Internal Symmetries and Additional Quantum Numbers for Nanoparticles
Wavefunctions of symmetrical nanoparticles are considered making use of induced representation method. It is shown that when, at the same total symmetry, the order of local symmetry group decreases, additional quantum numbers are required for complete labelling of electron states. It is shown that the labels of irreducible representations of intermediate subgroups can be used for complete classification of states in the case of repeating IRs in symmetry adapted linear combinations. The intermediate...
Intertwining symmetry algebras of quantum superintegrable systems.
Inverse scattering theory for Dirac operators