Atomic Static Electric Quadrupole Polarizability from Relativistic Many-Body Theory With Application To Thulium $\left(6s^2\, 4f^{13}\right)$\, $^2F_{7/2}$ and $^2F_{5/2}$

In the present work a method for calculating atomic static electric rank-$n$ tensor quadrupole polarizabilities $α_Q^{(n)}(J)$ for arbitrary atomic electronic structure is presented. It is based on a linear-symmetry representation of atomic states using large-scale relativistic configuration interac