Speaker
Tamar Mamadashvili
Description
In the thesis(/presentation) we have discussed many-electron system on Lowest Landau Level(LLL) on a sphere with magnetic monopole and derived four-fermionic interaction Hamiltonian using spherical coordinates. With fixed magnetic charge value we have created Fock states and showed that if Hamiltonian is written using some useful operators, it can be diagonalized. In order to achieve this goal, we have done analytical calculations using MAPLE.