The quantum one-dimensional massless Thirring model is studied. A tran
sformation which casts the massless Thirring model into a quadratic fo
rm is found. The transformed field operators satisfy interesting commu
tation relations, fermion anti-commutation relations among the same ki
nds of fields and anyon-like commutation relations between different k
inds. Bethe Ansatz wavefunctions are constructed algebraically using t
he transformation and the commutation relations in coordinate space.