Relativistic Dynamical Quantum Mechanics introduces a powerful and groudbreaking extension to relativistic quantum mechanics, while having the quality of being grounded and applied. The text first establishes the fourth dimension through the theory of relativity and using additional principles of mathematics. Using the 4th dimension, a four-dimensional relativistic quantum mechanical framework is developed. From this, a more general time-dependent quantum description is born. Several examples are given to demonstrate the improvement in describing time-dependent quantum behavior. For example, the harmonic oscillator generalizes to a damped harmonic oscillator, and many other problems are treated with 4D relativistic quantum mechanics. Also, spintronics is given a fully time + spatially dependent description. Superconductors find their true origins as well as the quantum operators required to predict superconducting materials. The book contains cutting edge content, treated very thoroughly.