001461472 000__ 05656cam\a2200625\i\4500
001461472 001__ 1461472
001461472 003__ OCoLC
001461472 005__ 20230503003354.0
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001461472 008__ 230320s2023\\\\sz\a\\\\ob\\\\001\0\eng\d
001461472 019__ $$a1373342420
001461472 020__ $$a9783031056079$$qelectronic book
001461472 020__ $$a3031056078$$qelectronic book
001461472 020__ $$z303105606X
001461472 020__ $$z9783031056062
001461472 0247_ $$a10.1007/978-3-031-05607-9$$2doi
001461472 035__ $$aSP(OCoLC)1373231891
001461472 040__ $$aYDX$$beng$$erda$$cYDX$$dGW5XE$$dEBLCP$$dYDX$$dOCLCF
001461472 049__ $$aISEA
001461472 050_4 $$aQC133$$b.K87 2023
001461472 08204 $$a531/.34$$223/eng/20230324
001461472 1001_ $$aKuprov, Ilya,$$eauthor.
001461472 24510 $$aSpin :$$bfrom basic symmetries to quantum optimal control /$$cIlya Kuprov.
001461472 264_1 $$aCham, Switzerland :$$bSpringer,$$c[2023]
001461472 300__ $$a1 online resource (xiii, 395 pages) :$$billustrations (some color)
001461472 336__ $$atext$$btxt$$2rdacontent
001461472 337__ $$acomputer$$bc$$2rdamedia
001461472 338__ $$aonline resource$$bcr$$2rdacarrier
001461472 504__ $$aIncludes bibliographical references and index.
001461472 5050_ $$aIntro -- Preface -- Contents -- 1 Mathematical Background -- 1.1 Sets and Maps -- 1.2 Topological Spaces -- 1.3 Fields -- 1.4 Linear Spaces -- 1.4.1 Inner Product Spaces -- 1.4.2 Linear Combinations and Basis Sets -- 1.4.3 Operators and Superoperators -- 1.4.4 Representations of Linear Spaces -- 1.4.5 Operator Norms and Inner Products -- 1.4.6 Representing Matrices with Vectors -- 1.5 Groups and Algebras -- 1.5.1 Finite, Discrete, and Continuous Groups -- 1.5.2 Conjugacy Classes and Centres -- 1.5.3 Group Actions, Orbits, and Stabilisers -- 1.5.4 Matrix Representations of Groups
001461472 5058_ $$a1.5.5 Orthogonality Theorems and Characters -- 1.5.6 Algebras and Lie Algebras -- 1.5.7 Exponential and Tangent Maps -- 1.5.8 Ideals, Simple and Semisimple Algebras -- 1.5.9 Matrix Representations of Lie Algebras -- 1.5.10 Envelopes, Complexifications, and Covers -- 1.5.11 Cartan Subalgebras, Roots, and Weights -- 1.5.12 Killing Form and Casimir Elements -- 1.6 Building Blocks of Spin Physics -- 1.6.1 Euclidean and Minkowski Spaces -- 1.6.2 Special Orthogonal Group in Three Dimensions -- 1.6.2.1 Parametrisation of Rotations -- 1.6.2.2 Euler Angles Parametrisation
001461472 5058_ $$a1.6.2.3 Angle-Axis Parametrisation -- 1.6.2.4 Irreducible Representations -- 1.6.3 Special Unitary Group in Two Dimensions -- 1.6.3.1 Parametrisation -- 1.6.3.2 Irreducible Representations -- 1.6.3.3 Normalisation-Commutation Dilemma -- 1.6.4 Relationship Between SU(2) and SO(3) -- 1.7 Linear Time-Invariant Systems -- 1.7.1 Pulse and Frequency Response -- 1.7.2 Properties of the Fourier Transform -- 1.7.3 Causality and Hilbert Transform -- 2 What Exactly Is Spin? -- 2.1 Time Translation Group -- 2.2 Full Translation Group -- 2.3 Rotation Group -- 2.4 Lorentz Group -- 2.4.1 Boost Generators
001461472 5058_ $$a2.4.2 Irreps of Lorentz Group -- 2.4.3 Irreps of Lorentz Group with Parity -- 2.4.4 Poincare Group and the Emergence of Spin -- 2.5 Dirac's Equation and Electron Spin -- 2.5.1 Dirac's Equation -- 2.5.2 Total Angular Momentum and Spin -- 2.5.3 Total Angular Momentum Representation-Numerical -- 2.5.4 Total Angular Momentum Representation-Analytical -- 2.5.5 Benefits of the Individual Momentum Representation -- 2.6 Weakly Relativistic Limit of Dirac's Equation -- 2.6.1 Zitterbewegung -- 2.6.2 Negative Energy Subspace Elimination -- 2.6.3 Zeeman Interactions and Langevin Susceptibility
001461472 5058_ $$a2.6.4 Spin-Orbit Coupling -- 2.6.5 Spinning Charge Analogy -- 2.6.6 Spin as a Magnetic Moment -- 2.6.7 Spin Hamiltonian Approximation -- 2.6.8 Energy Derivative Formalism -- 2.6.9 Thermal Corrections -- 3 Bestiary of Spin Hamiltonians -- 3.1 Physical Side -- 3.1.1 Nuclear Spin and Magnetic Moment -- 3.1.2 Nuclear Electric Quadrupole Moment -- 3.1.3 Electronic Structure Derivative Table -- 3.1.4 Spin-Independent Susceptibility -- 3.1.5 Hyperfine Coupling -- 3.1.6 Electron and Nuclear Shielding -- 3.1.7 Nuclear Shielding by Susceptibility -- 3.1.8 Inter-nuclear Dipolar Interaction
001461472 506__ $$aAccess limited to authorized users.
001461472 520__ $$aThis 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.
001461472 588__ $$aDescription based on online resource; title from digital title page (viewed on April 18, 2023).
001461472 650_0 $$aRotational motion.
001461472 655_0 $$aElectronic books.
001461472 77608 $$iPrint version: $$z303105606X$$z9783031056062$$w(OCoLC)1310618267
001461472 852__ $$bebk
001461472 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-05607-9$$zOnline Access$$91397441.1
001461472 909CO $$ooai:library.usi.edu:1461472$$pGLOBAL_SET
001461472 980__ $$aBIB
001461472 980__ $$aEBOOK
001461472 982__ $$aEbook
001461472 983__ $$aOnline
001461472 994__ $$a92$$bISE