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About Spin - From Basic Symmetries to Quantum Optimal Control
This monograph is a fundamental reference for scientists and engineers who encounter spin processes in their work. The author, Ilya Kuprov, derives the concept of spin from basic symmetries and gives an overview of theoretical and computational aspects of spin dynamics: from Dirac equation and spin Hamiltonian, through coherent evolution and relaxation theories, to quantum optimal control, and all the way to practical implementation advice for parallel computers.From the preface:It is reasonable to assume that reality is causal, uniform, and isotropic. Theseassumptions lead to the conservation of energy, linear momentum, and angularmomentum. When Lorentz invariance is also assumed, the resulting symmetrygroup (translations, rotations, inversions, and now space-time boosts) yields onlytwo conserved quantities. One is the invariant mass; the other is a sum of angularmomentum and something else, which appears because boost generators commuteinto rotation generators: special relativity has more ways of rotating things thanNewtonian physics. That extra quantity is called spin.Common interpretations of spin are smoke and mirrors, born of futile attempts tovisualise the Lorentz group in three dimensions. I decided here to let the algebraspeak for itself, but also to ignore mathematicians, chie fl y Cartan, who had gen-erated much fog around spin physics. Illustrations are drawn from magnetic reso-nance, where real-life applications had served to keep the formalism elegant andclear.This book breaks with the harmful tradition of taking analytical derivationsbelow matrix level — there are too many papers and books that painstakingly discussevery eigenvector. The same applies to perturbation theories, total spin represen-tations, propagators, … In all those cases, numerical methods in matrix notation areten lines of text and five lines of MATLAB. In this book, I pointedly avoid mathematical spaghetti: derivations only proceed to a point at which a computer can takeover.
Detailed Information
| Author: | Ilya Kuprov |
|---|---|
| Publication Year: | 2023 |
| ISBN: | 9783031056079 |
| Pages: | 400 |
| Language: | English |
| File Size: | 12.999 |
| Format: | |
| Price: | FREE |
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