Description
Book SynopsisThis book consists of a series of lectures introducing what the author believes to be the theoretical minimum for the understanding of nuclear spin dynamics, the branch of physics underpinning magnetic resonance techniques such as NMR and MRI. Spin dynamics ultimately concern the study of the state and time evolution of systems made by a large collection of particles possessing spin, one of the most subtle and indeed fascinating concepts in relativistic quantum mechanics and whose understanding requires a mix of quantum mechanics, Hamiltonian dynamics and advanced mathematics. Written in the concise and direct style appropriate for university lectures, this book is addressed to both undergraduate and postgraduate students who are approaching magnetic resonance studies and want to reach the theoretical minimum required to understand the wider topic and its main applications. The book is suitable for researchers who work in the field of magnetic resonance and want to know more about its theoretical fundamentals. Finally, built as a complete set of 12 lectures and 4 workshops, the book can act as a solid reference to lecturers of magnetic resonance university modules. Trained in a world-leading research laboratory internationally recognised for its contributions to the NMR field, the author has a track record in theoretical and methodological developments of nuclear spin dynamics. In this book, he tries to merge his passion for the understanding of physics through its mathematical rendering with his personal quest for the elegance of a clean, clear and satisfactory explanation.
Table of ContentsLecture 1: Operator and Superoperator Algebra; Lecture 2: Spin; Lecture 3: The Quantum Description of an Isolated Spin-1/2; Lecture 4: Irreducible Spherical Tensors; Lecture 5: Perturbation Methods; Lecture 6: The Spin Hamiltonian; Lecture 7: The Radiofrequency Hamiltonian and the Rotating Frame; Lecture 8: The Dynamics of an Isolated Spin-1/2; Lecutre 9: The Density Operator; Lecture 10: The Dynamics of a Single Spin-1/2 Ensemble; Lecture 11: The Dynamics of an Ensemble of Coupled Spin-1/2 Pairs; Lecture 12: A Relaxation Theory of Nuclear Spin States; Workshop 1: Spin States and Operators; Workshop 2: Spherical Tensors and Spin Hamiltonians; Workshop 3: The Dynamics of Single Spin-1/2 Systems; The Dynamics of an Ensemble of Spin-1/2 Pairs and Spin Relaxation
