Table of Contents: “... and Chaos -- 16.1 Determinism vs Predictability -- 16.2 Linear and Nonlinear Differential Equations -- 16.3 Phase Space -- 16.4 A Forced, Damped Nonlinear Oscillator -- 16.5 Liapunov Exponents -- 16.6 Chaos in the Solar System -- 16.7 Problems -- Appendix...”

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Table of Contents: “... methods in perturbation theory -- Eigenfunction expansions for time dependent hamiltonians -- Strange attractors in higher-dimensional phase space -- Mathematical classification of complete chaos -- Anomalous diffusion and Lévy statistics in intermittent...”

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Table of Contents: “...Theory -- Observables -- Measurements -- Uncertainty -- Phase Space -- Experiments....”

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Table of Contents: “... -- Nonlinear Quantum Optics with Few Atoms -- Dissipative Environments: Quantum Jumps or Phase-Space Localization? -- Ponderomotive Control of Quantum Noise -- Quantum Soliton Collisions: Logic and QND -- Nonlinear and Quantum Dynamics of an Optical Cavity...”

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Table of Contents: “... Limit, KMS-Condition -- 2. Modular Automorphisms and Modular Conjugation -- 3. Direct Characterization of Equilibrium States -- 4. Modular Automorphisms of Local Algebras -- 5. Phase Space, Nuclearity, Split Property, Local Equilibrium -- 6. The Universal...”

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Table of Contents: “... Systems -- III Stochastic Systems -- 10. Stochastic Systems -- IV Appendices -- A. Classical Mechanics -- A.1 Newton’s Equations -- A.2 Lagrange’s Equations -- A.3 Hamilton’s Equations -- A.4 The Poisson Bracket -- A.5 Phase Space Volume Conservation -- A.6...”

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Table of Contents: “..., Resonances and Tunneling -- Phase Space Dynamics -- 20 Nonstationary Oscillator in Quantum Mechanics -- 21 Symmetry and Dynamical Lie Algebras in Classical and Quantum Mechanics -- 22 Canonical Transformations in Mechanics vis-à-vis Those in Optics -- Round Table...”

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Table of Contents: “... Dynamics in Nematics Under the Action of Magnetic Fields -- The Action of Effects of Dissipation, Dispersion and Nonstationary Kerr Nonlinearity on the Propagation of Solitons in Resonant Media -- Two-Dimensional Classical Attractors in the Spin Phase Space...”

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Table of Contents: “...The Woodward Bequest -- I Theoretical Aspects -- Paraxial Wave Equations and Absorbing Boundary Conditions -- Numerical Method for Solving 3D Inverse Problems with Complete and Incomplete Data -- Wave Propagation in Random Media -- Phase Space...”

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Table of Contents: “...Self-Adjointness -- Lp-Properties of Eigenfunctions, and All That -- Geometric Methods for Bound States -- Local Commutator Estimates -- Phase Space Analysis of Scattering -- Magnetic Fields -- Electric Fields -- Complex Scaling -- Random Jacobi Matrices...”

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Table of Contents: “... Entropy of Quantum Systems -- Hamiltonian Approach to the Theory of Anomalies -- Phase Space Expansions in Quantum Field Theory -- Berezin’s Pseudodifferential Forms -- Classical Non-Linear ?-Models on Grassmann Manifolds -- On Relativistic Irreducible Quantum...”

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Table of Contents: “... oscillator -- Operator averages and orthogonalities -- Advances in the theory of collective motion in nuclei -- Quantum effects in classical phase space: Symplectic structures associated to the scattering of nuclear fragments -- Gamow states in momentum...”

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Table of Contents: “...2-particle interactions produced by transformations of phase space -- Translation, dilation, Lorentz invariant two-particle interactions -- Spontaneous predictivisation -- Forms of relativistic quantum dynamics -- Relativistic-particle quantum mechanics...”

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Table of Contents: “... and kinematical forms of Newtonian systems -- 2.3 Reformulation of the conditions of self-adjointness within the context of the calculus of differential forms -- 2.4 The problem of phase space formulations -- 2.5 General and normal forms of the equations of motion...”

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