  Spectra of $q \bar q$ mesons are investigated in the framework of the
Hamiltonian obtained from the relativistic path integral in external
homogeneous magnetic field. The spectra of all 12 spin-isospin s-wave states
generated by $\pi$- and $\rho$-mesons with different spin projections, are
studied analytically as functions of the field strength. Three types of
behavior with characteristic splittings are found. The results are in agreement
with recent lattice calculations.
