Variational Method for the Three-Dimensional Many-Electron Dynamics of   Semiconductor Quantum Wells
  The three-dimensional nonlinear dynamics of an electron gas in a semiconductor quantum well is analyzed in terms of a self-consistent fluid formulation and a variational approach. Assuming a time-dependent localized profile for the fluid density and appropriated spatial dependences of the scalar potential and fluid velocity, a set of ordinary differential equations is derived. In the radially symmetric case, the prominent features of the associated breathing mode are characterized. 
F. Haas
physics.plasm-ph quant-ph