Schrodinger Equation for Mobility Problem in a N-Channel MOSFET by GNU Octave

This paper aims to develop a numerical method to solve the Schrodinger equation in a time-dependent dimension for mobility problem in a N-MOSFET using the finite difference method. The proposed method is implemented using the GNU Octave tool and the fsolve function to solve nonlinear algebraic equations. This method is expected to provide an accurate and efficient solution to the mobility problem in a N-MOSFET, which could have applications in fields such as quantum physics and electronic engineering.