4–11 Aug 2024
Free University of Tbilisi
Asia/Tbilisi timezone

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

10 Aug 2024, 12:50
20m
219 (Free University of Tbilisi)

219

Free University of Tbilisi

Talk High Energy Physics Student Lectures (High Energy Physics)

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.

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