Exact Diagonalization of the Fractional Quantum Hall Many-Body Hamiltonian in the Lowest Landau Level

Detlef Lehmann

For a gaussian interaction V(x,y)=λe^{-(x^2+y^2)/r^2} with long range r>>l_B, l_B the magnetic length, we rigorously prove that the eigenvalues of the finite volume Hamiltonian H_{…