Diagonalization of four-fermionic interaction Hamiltonian on a sphere with magnetic monopole

Author: Tamar Mamadashvili
Annotation:

In this thesis 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. For the fixed magnetic charge(s=5/2) we have constructed the 2-particle Fock states and have shown that Hamiltonian can be diagonalized in terms of certain operators which are bilinear with respect to the fermion annihilators(K~c_m c_n ) In order to achieve this goal we have done analytical calculations using MAPLE.

Lecture files:

Tamar Mamadashvili (Eng) Abstract [en]
თამარ მამადაშვილი (Geo) ანოტაცია [ka]