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Abstract
We present a random-phase approximation calculation of the collective plasmon excitation spectrum of a one-dimensional electron gas confined in cylindrical and rectangular semiconductor quantum wires. The plasmon spectrum for the cylindrical case is calculated considering up to three occupied subbands. Taking into account the twofold angular degeneracy of the single-particle energy spectrum, we derive different expressions for the electron-electron interaction when opposite angular quantum numbers are involved. That occurrence leads, even in a two-subband system, to the presence of new undamped plasmon modes for q → 0 not exhibited in previous work. Comparing plasmon modes between cylindrical and rectangular quantum wires, we find an investigable shape-confinement effect for the intrasubband plasma excitation in the lowest subband.