The Schwinger model, defined in the space interval -L less than or equ
al to x less than or equal to L, with (anti)periodic boundary conditio
ns, is canonically quantized in the light-cone gauge A(-) = 0 by means
of equal-time (anti)commutation relations. The transformation diagona
lizing the complete Hamiltonian is explicitly constructed, thereby giv
ing spectrum, chiral anomaly, and condensate. The structures of Hilber
t spaces related both to free and to interacting Hamiltonians are comp
letely exhibited. Besides the usual massive field, two chiral massless
fields are present, which can be consistently expunged from the physi
cal space by means of a subsidiary condition of a Gupta-Bleuler type.
The chiral condensate does provide the correct nonvanishing value in t
he decompactification Limit L-->infinity.