Spin Effects on the Plasma Oscillations of an Electron Gas in a Magnetic Field

A dispersion relation—which includes the effects of spin—for the longitudinal oscillations of an electronic plasma in a magnetic field is calculated. In the long-wavelength and low-temperature limit, explicit formulas for the frequencies are obtained, and it is suggested that the result may be useful for the experimental determination of the product of the electronic $g$ factor and the effective mass.