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Chemistry, Physical and theoretical --- Density matrices. --- Mathematics.
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This book bridges a gap between introductory optics texts and the vanguard of optical science, where light is used as a tool to probe the properties of new materials. A single mathematical tool is introduced that enables readers to understand laser tweezers, laser cooling, optical magnetism, squeezed light, and many other advanced topics.
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Density matrices --- Electron distribution --- Matrices densité --- Électrons --- Distribution --- Density matrices. --- Electron distribution. --- Matrices densité. --- Distribution.
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Density matrices --- Quantum chemistry. --- Chimie quantique --- Density matrices. --- Matrices densité. --- Chimie quantique. --- Matrices densité.
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Product formulas (Operator theory) --- Nuclear magnetic resonance --- Density matrices
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Density functionals --- Density matrices --- Congresses --- Congresses --- Coleman, A. John
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Renormalization group theory of tensor network states provides a powerful tool for studying quantum many-body problems and a new paradigm for understanding entangled structures of complex systems. In recent decades the theory has rapidly evolved into a universal framework and language employed by researchers in fields ranging from condensed matter theory to machine learning. This book presents a pedagogical and comprehensive introduction to this field for the first time. After an introductory survey on the major advances in tensor network algorithms and their applications, it introduces step-by-step the tensor network representations of quantum states and the tensor-network renormalization group methods developed over the past three decades. Basic statistical and condensed matter physics models are used to demonstrate how the tensor network renormalization works. An accessible primer for scientists and engineers, this book would also be ideal as a reference text for a graduate course in this area.
Renormalization group. --- Tensor products. --- Tensor algebra. --- Density matrices.
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