Table of Contents: “...1Introduction -- 2Classical entropy and divergence -- 3Classical majorization -- 4Classical thermodynamics -- 5Quantum entropy and divergence -- 6Quantum majorization -- 7Approximate and asymptotic majorization and divergence -- 8Quantum thermodynamics...”

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Table of Contents: “...Chapter 1: Entanglement spectra of spin chains -- Chapter 2: Detecting quantum phase transitions in spin chains -- Chapter 3: Entanglement entropy in critical quantum spin chains with boundaries and defects -- Chapter 4: Entanglement entropy...”

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Table of Contents: “...Background -- Holographic Entanglement Entropy in a Finite System at Finite Temperature -- One Loop Partition Function -- Holographic Entanglement Entropy in a General System -- Conformal Block and the Holographic Description -- Conclusion and Outlook....”

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Table of Contents: “... and Total Environmental Disentanglement -- Dynamics of Dissipative Quantum Systems: From Path Integrals to Master Equations -- Quantum Entropies in a Classical Context -- Foundational Aspects of Irreversible Quantum Dynamics -- Irreversibility and the Foundations...”

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Table of Contents: “... -- A.2 Nernst’s Theorem and its Thermodynamic Consequences -- A.3 Residual Entropy, Metastability, etc. -- B. The Classical Limit and Quantum Corrections -- B.1 The Classical Limit. -- B.2 Calculation of the Quantum-Mechanical Corrections -- C...”

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Table of Contents: “... Solvable Models? -- Summational Invariants -- Relative Entropy Estimates in Statistical Mechanics and Field Theory -- Partial *-Algebras: A Retrospective -- Banach Partial *-Algebras and Quantum Models -- Supersymmetry and Quantum Deformations -- New...”

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Table of Contents: “...State vector reduction in relativistic quantum mechanics: An introduction -- Quantum measurements, open systems and dynamical entropy -- EEQT — A way out of the quantum trap -- Stochastic unraveling of relativistic quantum measurements -- Some lessons...”

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Table of Contents: “...Entropy, fragility, “landscapes”, and the glass transition -- Computer simulation of models for the structural glass transition -- Microscopic dynamics in glasses in relation to that shown by other complex systems -- Microscopic dynamics of A1C60...”

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Table of Contents: “...Triangulations -- Dynamical Triangulations -- Moduli Spaces for Dynamically Triangulated Manifolds -- Curvature Assignments for Dynamical Triangulations -- Entropy Estimates -- Analytical vs. Numerical Data....”

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Table of Contents: “... and Dynamics of Decompositions -- Decoherence and Quantum-Classical Correspondence in Chaotic Systems -- Spectral Decomposition and Extended Formulation of Unstable Dynamical Systems -- Dynamical Entropy in Dynamical Systems -- Nonlocality in Quantum Dynamics...”

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Table of Contents: “... chaotic systems -- Classical and quantum chaotic scattering -- From fractals to stochastic differential equations -- Dissipative structures and weak turbulence -- Entropy and quantum characteristic exponents. steps towards a quantum pesin theory -- Rigorous...”

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Table of Contents: “...1 Introduction -- 2 Classical Ergodic Theory -- 2.1 Irreversibility -- 2.2 Entropy -- 2.3 Topological Properties of Dynamical Systems -- 3 Algebraic Approach to Classical Ergodic Theory -- 3.1 Abelian C* Dynamical Systems -- 3.2 Abelian W* Dynamical...”

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Table of Contents: “... Thermodynamic Systems and Distribution Functions -- 7.2 Entropy -- 7.3 Temperature, Pressure, and Chemical Potential -- 7.4 The Gibbs Equation and the Forms of Energy Exchange -- 7.5 The Canonical Ensemble and the Free Energy -- 7.6 Thermodynamic Potentials -- 7.7...”

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Table of Contents: “...The Scattering Transformation -- Regularization -- Periodic Orbits -- Existence of an Invariant Cone Field -- Symbolic Dynamics -- Topological Entropy -- The Distribution of the Closed Orbits -- Fractional Dimension -- Time Delay -- Measure of the Bound...”

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Table of Contents: “... -- The uncertainty principle in a QND measurement of photon number -- Some remarks on the phase operator in quantum optics -- Quantum state control and nonlinear schr?dinger equation -- Quantum entropy and quantum measurements -- Information dynamics and its applications...”

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Table of Contents: “... -- Spectrum and character formulae of so(3, 2) unitary representations -- Quantum theory of single events -- Symmetry, entropy and complexity -- Steps in the philosophy of quantum theory....”

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Table of Contents: “...I Dynamic Chaos -- Dimensions and Entropies in Multidimensional Systems -- Measurement Methods for Correlation Dimensions -- Quantum Localization of Dynamic Chaos -- Randomness and Predictability in Dynamic Chaos -- Stochastic Vibrational Dynamics...”

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Table of Contents: “...Contents: S. Diner: Introduction. From Quantum Physics to Quantum Technology -- Quantum Information, Probability and Symmetry: L.B. Levin: Information Theory for Quantum Systems. F. Fer: Thermodynamical and Informational Entropies in Quantum Mechanics...”

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Table of Contents: “... external fields. Determination of relaxation parameters from first principles. Entropy and irreversibility. Conclusion -- Appendices -- References....”

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