On asymmetric quasiperiodic solutions of Hartree-Fock systems (Q1604507)

This paper is devoted to the solutions of Hartree-Fock systems in two dimensions, in the presence of a constant magnetic field (vector potential) \(\vec B(x)=\omega (-x_2,x_1)\) with field strength \(\omega>0\) and an external electric potential \(U_0(x_1,x_2)= \tfrac 12\rho_0|x |^2\). Under suitable assumptions on \(\rho_0\) the authors reduce the quasiperiodic time-dependent Hartree-Fock system to an eigenvalue problem solved by using variational methods.