The Schrödinger and Riccati Equations

The linear Schrodinger equation is central to quantum chemistry. It is presented within the context of relativistic quantum mechanics and analyzed both in time-dependent and time-independent forms. The Riccati equation is used to study the one-dimensional Schrodinger equation. The authors develop the Schrodinger Riccati equation as an approach to determine solutions of the time-independent, linear Schrodinger equation.