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A study is made of the effect of the quantization of the electron orbits in a magnetic field on the galvanomagnetic properties of an isotropic semiconductor or semimetal in the phonon-scattering range. The conductivity tensor is calculated using the quantum-mechanical density operator. A generalized Boltzmann equation is derived, in which the scattering for the density matrix elements of interest in the calculation of the current can be described by a relaxation time $\ensuremath{\tau}(\ensuremath{\epsilon})$, that is for most energies inversely proportional to the density of electronic states in the magnetic field.The Hall coefficient and transverse resistivity are studied for a number of different sets of conditions for the electron density, the magn\`etic field, and the temperature. It is found that in all cases the resistivity at very high fields is an increasing function of field. Further the Hall coefficient at high fields does not approach the classical limit. Both Hall coefficient and resistivity under some conditions exhibit an oscillatory dependence on magnetic field. The deviation of the resistivity from classical behavior is easily observable. The deviation of the Hall coefficient is in most cases quite small; however, it may be possible to observe it.