The Structure of Two-Particle State in the Lowest Landau Level

Author: ZURABI GACHECHILADZE
Keywords: the Lowest Landau Level, electron interaction, algebraic structures
Annotation:

The study of the structure of electron interaction in the lowest Landau level (LLL) has been the point of interest of scientists for the last several decades. The problem is related to the phenomenons like Fractional and Integer Quantum Hall Effects. In this work we will try to diagonalize the Hamiltonian of the system of electrons. We discuss the simplest case of two electrons, which have the universal eigenstates (the states are independent of electron interaction potential).