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,tion generator is compressed but the state vector is not. Miscellaneous wisdom on the logistical minutiae of spin dynamics simulations (efficient norm estimation, recycling of expensive matrix functions, semi-analytical methods, etc.) is given, as well as a discussion of parallelisation modalities.

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onal 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.978-3-031-05609-3978-3-031-05607-9

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Bestiary of Spin Hamiltonians,ture theory, nuclear magnetogyric ratios and electric quadrupole moments are derived and discussed. An empirical extension of Dirac equation to multi-particle systems yields operator derivatives that occur in the expressions for nuclear and electron spin interactions created or mediated by the elect

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Coherent Spin Dynamics,bation and effective Hamiltonian theories (Waugh, Rayleigh-Schrodinger, Van Vleck, Dyson), Floquet theory, etc. The effective Hamiltonian section includes matrix logarithms, Lie group methods (Magnus, Fer, Suzuki-Trotter, Zassenhaus, Campbell-Baker-Hausdorff, etc.), as well as their combinations and

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Other Degrees of Freedom,nical degrees of freedom: rotations, vibrations, and electromagnetic cavity modes. The treatment of classical degrees of freedom includes spherical quadratures used for powdered samples, diffusion and flow (including sample spinning as a special case), static and dynamic distributions in spin Hamilt

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Optimal Control of Spin Systems, discussed in this chapter are implemented in . library of which the author is the principal developer. A concise derivation of the GRAPE method is given, followed by derivation and practical implementation advice for recent enhancements and additions to GRAPE: dead time prephasing, keyhole states a