Table of Contents: “... Ising model and entanglement -- Chapter 6: Variational Algorithms, Quantum Approximation Optimization and Neural Network Quantum States with two-qubits -- Chapter 7: Phase space representation -- Chapter 8: States as a neural networks and gates as pullbacks...”

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Table of Contents: “...: the Nonadiabatic Nonlinear Dimer -- Chapter 8. Thermal Effects: Phase-Space and Langevin Formulations -- Chapter 9. Microscopic Origin Issues about the DNLSE for Polarons -- Chapter 10. Bose-Einstein Condensate Tunneling: the Gross-Pitaevskii Equation -- Chapter 11...”

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Table of Contents: “...Invitation: gravity, point particles, and group-valued momenta -- Gravity in 2+1 dimensions as a Chern-Simons theory -- Gravity in 3+1 dimensions, particles and topological limit -- Deformed classical particles: phase space and kinematics -- Hopf algebra...”

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Table of Contents: “...8. Wigner functions and their symmetries -- 8.1. Symmetries and the uncertainty principle in the Wigner phase space -- 8.2. Four-dimensional phase space -- 8.3. Canonical transformations -- 8.4. SL(4, r) symmetry -- 8.5. Dirac matrices for O(3, 3) -- 8.6...”

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Table of Contents: “...Introduction -- Background and Motivation -- Systems with Bounded Phase Spaces: Equilibrium Properties -- Langevin Equation (also) at Negative Temperature -- Negative Temperature Out of Equilibrium -- Computational and Technical Aspects -- Conclusions....”

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Table of Contents: “... -- Kinetic Theory of a Dense Simple Fluid Mixture -- Classical Scattering Theory in Phase Space -- Generalized Hydrodynamics and Transport Processes -- II Essays on Equilibrium Theories -- Molecular Theory of Liquid Mixtures: Equilibrium Properties -- Equilibrium...”

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Table of Contents: “...Equilibrium -- Stationary Nonequilibrium -- Discrete phase space -- Fluctuations -- Applications -- Historical comments -- Appendices -- References -- Index....”

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Table of Contents: “... functions in phase space -- Anderson and dynamical localization -- Universal level statistics -- Concluding remarks -- Appendix -- Problems -- References -- Index....”

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Table of Contents: “...Preface to the first edition -- Preface to the second edition -- Discrete and continuous models -- Separatrix chaos -- The phase space of chaos -- Nonlinearity versus perturbation -- Fractals and chaos -- Poincaré recurrences and fractal time -- Chaos...”

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Table of Contents: “...Principles and Physical Interpretation of Quantum Geometries -- The Fibre Bundle Framework for Classical General Relativity -- Stochastic Quantum Mechanics on Phase Space -- Nonrelativistic Newton-Cartan Quantum Geometries -- Relativistic Klein-Gordon...”

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Table of Contents: “... space -- On the confinement of magnetic poles -- SU(3) and SU(4) as spectrum-generating groups -- The phase space for the Yang-Mills equations -- Instantons in nonlinear ?-models, gauge theories and general relativity -- Gauge-theoretical foundation of color...”

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Table of Contents: “... representations and their applications -- Phase space representations of the Poincaré group & their applications to relativistic particle dynamics -- On subgroups of physical symmetry groups and their invariant “electromagnetic” fields and potentials -- Covariant...”

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