QUANTUM THEORY ON THE TORUS WITH MAGNETIC FIELD

H. D. Doebner, J. Tolar

Gesualdo Delfino A, Giuseppe Mussardo

I.A. Akhiezer, S. V. Peletminskiǐ

The effect of interaction between particles on the oscillations of the Fermi gas magnetic moment is studied by quantum field theory methods. The forces acting between the particles are assumed to be of the short range type and the calculations are performed in the gas approximation. The change in the period and amplitude of the oscillations of the magnetic moment due to interaction between the particles is determined. At not toe low temperatures the oscillation amplitude contains a factor which decreases exponentially with decrease of the magnetic field. (auth)

Jan Peřina

Hideaki Hiro-Oka, Hisakazu Minakata

We present a large-N collective field formalism for anyons in external magnetic fields interacting with an arbitrary two-body potential. We discuss how the Landau levels are reproduced in our framework. We apply it to the soluble model for anyons proposed by Girvin et al., and obtain the dispersion relation of the collective modes for arbitrary statistical parameters.