  We study edge and bulk open-orbit electron states in a quasi-one-dimensional
(Q1D) metal subject to a magnetic field. For both types of the states, the
energy spectrum near the Fermi energy consists of two terms. One term has a
continuous dependence on the momentum along the chains, whereas the other term
is quantized discretely. The discrete energy spectrum is mathematically
equivalent to the Wannier-Stark energy ladder of a semi-infinite 1D lattice in
an effective electric field. We solve the latter problem analytically in the
semiclassical approximation and by numerical diagonalization. We show
explicitly that equilibrium electric currents vanish both at the edges and in
the bulk, so no orbital magnetization is expected in a Q1D metal in a magnetic
field.
