  We identify the chiral and angular momentum content of the leading
quark-antiquark Fock component for the $\rho(770)$ and $\rho(1450)$ mesons
using a two-flavor lattice simulation with dynamical Overlap Dirac fermions. We
extract this information from the overlap factors of two interpolating fields
with different chiral structure and from the unitary transformation between
chiral and angular momentum basis. For the chiral content of the mesons we find
that the $\rho(770)$ slightly favors the $(1,0)\oplus(0,1)$ chiral
representation and the $\rho(1450)$ slightly favors the $(1/2,1/2)_b$ chiral
representation. In the angular momentum basis the $\rho(770)$ is then a $^3S_1$
state, in accordance with the quark model. The $\rho(1450)$ is a $^3D_1$ state,
showing that the quark model wrongly assumes the $\rho(1450)$ to be a radial
excitation of the $\rho(770)$.
