M. Marsili, PAIR DESCRIPTION OF THE FRACTIONAL QUANTUM HALL-EFFECT WITH APPLICATION TO EDGE WAVES, Physical review. B, Condensed matter, 48(24), 1993, pp. 18051-18059
Pairs of particles of definite total and relative angular momentum pro
vide a natural description for a two-dimensional electron gas in a str
ong magnetic field. Two body operators take a simple form when express
ed in terms of pair creation and destruction operators. The pair forma
lism is applied to the study of edge-wave excitations. For v=1 the ope
rators which create edge excitations are identified and the role the i
nteraction potential plays in the long wavelength limit is clarified.
This picture also describes edge excitations on the v=1/m Laughlin sta
tes.