Portnoi, M. E.Rashba, Emmanuel2016-11-181995Portnoi, M. E., and E. I. Rashba. 1995. Four-Partocle Anyon Exciton: Boson Approximation. Mod. Phys. Lett. B 9, no. 2: 123–133. doi:10.1142/s0217984995000139.0217-9849http://nrs.harvard.edu/urn-3:HUL.InstRepos:29407534A theory of anyon excitons consisting of a valence hole and three quasielectrons with electric charges –e/3 is presented. A full symmetry classification of the k = 0 states is given, where k is the exciton momentum. The energy levels of these states are expressed by quadratures of confluent hypergeometric functions. It is shown that the angular momentum L of the exciton ground state depends on the distance between the electron and hole confinement planes and takes the values L = 3n, where n is an integer. With increasing k the electron density shows a spectacular splitting on bundles. At first a single anyon splits off of the two-anyon core, and finally all anyons become separated.en-USanyonsfractional quantum Hall effectexcitonsJournal Article2016-11-1810.1142/S0217984995000139