The Schroedinger and Riccati Equations

The linear Schroedinger equation is central to Quantum Chemistry. It is presented within the context of relativistic Quantum Mechanics and analysed both in time-dependent and time-independent forms. The Riccati equation is used to study the one-dimensional Schroedinger equation. The authors develop the Schroedinger-Riccati equation as an approach to determine solutions of the time-independent, linear Schroedinger equation.