Y. Komori et M. Wadati, BETHE-ANSATZ WAVE-FUNCTIONS AND AN INFINITE NUMBER OF CONSERVED OPERATORS OF THE LUTTINGER MODEL, Physics letters. A, 218(1-2), 1996, pp. 42-48
We find a transformation of the field operators which casts the Hamilt
onian of the Luttinger model into a quadratic form. The transformed fi
eld operators satisfy interesting commutation relations, fermion anti-
commutation relations between the same kinds of fields and anyon-like
commutation relations between different kinds. Using the transformatio
n, Bethe ansatz wavefunctions are constructed algebraically. In additi
on, an infinite number of conserved quantities are given.