A laser-driven plasma is investigated theoretically in a quantum electron-hole semiconductor plasma by a short electromagnetic pulse. The laser beam is single, short, and high-intensity. Using the quantum hydrodynamic (QHD) physical model consists of continuity
and momentum equations for electrons and holes. These equations are closed by Poisson's
equation. The momentum equations include the wave vector of the electromagnetic field,
pressure, and Bohm potential. It introduces the effect of two formulas about the pressure
in the form of the last differential equations. An electromagnetic field is represented in the
circularly polarized Gaussian profile. Laplace transformation and convolution theorem are
used to obtain the final evolution equation of our theoretical model. A laser-driven plasma is investigated theoretically in a quantum electron-hole semiconductor plasma by a short electromagnetic pulse. The laser beam is single, short, and high-intensity. Using the quantum hydrodynamic (QHD) physical model consists of continuity
and momentum equations for electrons and holes. These equations are closed by Poisson's
equation. The momentum equations include the wave vector of the electromagnetic field,
pressure, and Bohm potential. It introduces the effect of two formulas about the pressure
in the form of the last differential equations. An electromagnetic field is represented in the
circularly polarized Gaussian profile. Laplace transformation and convolution theorem are
used to obtain the final evolution equation of our theoretical model