BETHE-ANSATZ WAVE-FUNCTIONS AND AN INFINITE NUMBER OF CONSERVED OPERATORS OF THE LUTTINGER MODEL

Authors
KOMORI Y WADATI M
Citation
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
Citations number
11
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
218
Issue
1-2
Year of publication
1996
Pages
42 - 48
Database
ISI
SICI code
0375-9601(1996)218:1-2<42:BWAAIN>2.0.ZU;2-O
Abstract
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.