Titlebook: Spin; From Basic Symmetrie ILYA KUPROV Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Natur

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Notes on Software Engineering,icular with the challenge of simulating simultaneous spatial and spin dynamics. The principal difference with DMRG-like methods is that state vector compression is rarely a good idea for long-range dissipative dynamics of real-life spin systems—a halfway point is advocated instead, wherein the evolu

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and consistent notation.Builds the mathematical framework ofThis 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 computati

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Optimal Control of Spin Systems,e functions, system trajectory and pulse shape analysis, as well as pertinent aspects of optimisation theories, such as convergence acceleration using quasi-Newton and Newton–Raphson methods. An overview of pertinent matrix calculus and spin dynamics simulation derivative calculation methods is also provided.

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What Exactly Is Spin?,nt mass. Angular momentum is obtained from the rotation group, and then Lorentz group is used to derive the concept of spin. Invariants of Poincare group yield Dirac equation, from which spin interactions Hamiltonians are obtained by eliminating the negative energy subspace.

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Other Degrees of Freedom,adratures used for powdered samples, diffusion and flow (including sample spinning as a special case), static and dynamic distributions in spin Hamiltonian parameters, and chemical reactions—both spin-independent and spin-selective. Concise derivations are provided for spin-rotation, spin-lattice, and spin-cavity coupling Hamiltonians.

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Neuromodulation Therapiesine treatment options for depressive disorders and other common psychiatric conditions in geriatric patients. This chapter discusses their advantages and how these are consistent with an . approach. NiBS and TBSM can minimize polypharmacy in treatment-resistant geriatric patients, provide an alterna

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