We compare measured and calculated luminescence spectra of quantum wir
es in normal magnetic fields. The experiments have been performed on m
odulated barrier In0.13Ga0.87As/GaAs quantum wires in magnetic fields
up to B = 10.5 T. In the regime of high magnetic fields in which the c
yclotron energy omega(c) exceeds the lateral intersubband energy Omega
the carriers show the behavior of a fully quantized system. The exper
imental magnetoluminescence spectra for different excitation intensiti
es are in excellent agreement with calculated spectra. The calculation
s contain not only the influence of the strong magnetic held, but also
the many-body effects on a Hartree-Fock level in terms of state filli
ng, band-gap renormalization, and excitonic correlations with up to fo
ur lateral subbands. A magnetic-field-dependent momentum cutoff is int
roduced, which ensures that electrons and holes are not pushed out of
the quantum win under the influence of the Lorentz force. By fitting t
he calculated to the measured spectra we determine the density and the
temperature in the one-dimensional magnetoplasma. In contrast to the
field-free case (B = 0) the renormalization of one subband is mainly d
etermined by the occupation of the other subbands in the high-field re
gime because the excitons on one subband form, to a good approximation
. an ideal gas. Its formation becomes possible because the symmetry un
der continuous rotations in the electron and hole isospin space that i
s broken by the lateral confinement is to a good approximation restore
d by high magnetic fields, which suppress the motion of the free carri
ers along the wire.