Principles of Quantum Mechanics: Theory Formalism, and applications for scientists and engineers
What actually happens inside a transistor at the moment it switches, or inside a hospital scanner as it images soft tissue? In both cases the honest answer is quantum mechanics, applied through mathematics that most treatments of the subject never quite connect back to the device. A physics-only course typically builds the full formalism and stops there; an engineering-only course reaches the devices quickly but skips the derivations that explain why the mathematics works. Anyone who wants both is usually left assembling several different books and rarely feels equally confident in both directions.
This book is built as a single, continuous, complete reference that serves both audiences honestly, without diluting either. It opens with the historical experiments that broke classical mechanics, builds the full mathematical language and postulates the theory requires, works through every standard exactly solvable system, develops both major approximation frameworks used when no exact solution exists, and extends into the density matrix, quantum information, the path integral formulation, and the relativistic wave equation for the electron. A closing chapter then traces the mathematics built across the entire book directly back to the specific technology it makes possible.
What you will be able to do after working through this book:
Derive and apply the postulates of quantum mechanics to real, solvable systems rather than only stating them.Solve one-dimensional potential problems, including quantum tunneling, and connect the same exponential formula to modern transistor and flash-memory design.Apply variational and semiclassical approximation methods to systems with no exact solution, and carry perturbation theory calculations through to atomic transitions and spontaneous emission.Trace angular momentum and spin directly to the physical operation of a magnetic resonance imaging scanner.Build and apply the density matrix formalism to describe entanglement, decoherence, and the qubits underlying quantum computing and quantum cryptography.Evaluate the relativistic wave equation for the electron and its prediction of antimatter.Every one of these skills rests on a worked example carried through to a complete, unit-checked numerical answer, reinforced by end-of-chapter practice problems whose full reasoning is shown, so a reader working independently receives the same feedback a classroom would provide. The chapter ordering is deliberate throughout: new mathematics is introduced only after the physical problem requiring it has been established, so nothing is learned in the abstract.
This book is written for upper-level undergraduate and graduate physics students; for electrical engineering, materials science, and applied physics students who need a rigorous quantum foundation for coursework or research; and for self-directed readers with a background in calculus and differential equations who want to move from reading about quantum mechanics to actually using it.
Add this dependable, Book to your library and start applying the principles, methods, and calculations covered inside.
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This is an independent educational publication. It is not sponsored by, endorsed by, published by, affiliated with any company, manufacturer, standards organizations, or trademark holder whose products, technologies, or terminologies maybe reference within these pages.
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