The linear Schr�dinger 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 Schr�dinger equation.
The authors develop the Schr�dinger-Riccati equation as an approach to determine solutions of the time-independent, linear Schr�dinger equation.

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The linear Schr�dinger equation is presented in the context of relativistic Quantum Mechanics. It is analysed in time-dependent and time-independent forms and its local and global properties are inspected. The authors develop the Schr�dinger-Riccati equation as an approach to determine solutions of the time-independent, linear Schr�dinger equation.

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