Table of Contents: “... -- Chapter 13: Infinite-dimensional vector spaces -- Chapter 14: Linear operators on a vector space -- Chapter 15: Operator algebras and identities -- Chapter 16: Orthogonal polynomials -- Chapter 17: Fourier series -- Chapter 18: Fourier integrals -- Chapter 19...”

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Table of Contents: “... Quantum Physics Require a New Logic? -- Experimental Approach to Quantum-Logical Connectives -- From Semantics to Syntax: Quantum Logic of Observables -- An Unsharp Quantum Logic from Quantum Computation -- Quantum Logic and Quantum Probability -- Operator...”

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Table of Contents: “... and Ket Algebra -- 13: Angular Momentum II Using Bra and Ket Algebra -- 14: Experiments with Spin Half Particles The Stern-Gerlach Experiment, Larmor Precession and Magnetic Resonance -- 15: Angular momentum III Eigenfunctions Using Operator Algebra -- 16...”

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Table of Contents: “...1. Critical Phenomena: a Reminder -- 2. Conformal Invariance -- 3. Finite-Size Scaling -- 4. Representation Theory of the Virasoro Algebra -- 5. Correlators, Null Vectors and Operator Algebra -- 6. Ising Model Correlators -- 7. Coulomb Gas Realization...”

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Table of Contents: “... of Isospectral and Nonisospectral Hierarchies -- 4.3 The Lax Operator Algebra -- 5. Soliton Particles -- 5.1 General Aspects -- 5.2 Algebraic Structure of Linear Systems -- 5.3 Algebraic Structure of Multi-Soliton Representation -- 5.4 Multi-Soliton Perturbation...”

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Table of Contents: “... Approximations for Time-Dependent Problems -- 1.7 Angular Momentum -- 1.8 Group Theory -- 1.9 Operator Algebra of the Harmonic Oscillator -- 1.10 Suggested Reading -- 2. Bulk Semiconductor Bandstructure -- 2.1 The One-Electron Approximation -- 2.2 Bloch’s Theorem...”

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Table of Contents: “... Generalized Hubbard Model -- A Renormalization Procedure for the Hubbard Model -- New Operator Algebra for the Hubbard Chain -- Exact Results and Conjectures on the Adiabatic Holstein-Hubbard Model at Large Electron-Phonon Coupling -- Ferromagnetism in Correlated...”

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Table of Contents: “...Critical Phenomena: a Reminder -- Conformal Invariance and the Stress-Energy Tensor -- Finite Size Scaling -- Representation Theory of the Virasoro Algebra -- Operator Algebra and Correlation Functions -- The Ising Model Correlation Functions -- Coulomb...”

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Table of Contents: “... automorphism invariance: a generalization of general relativity -- Differential forms in geometric calculus -- Clifford valued convolution operator algebras on the Heisenberg group -- Classical solutions of the Dirac equation: bound Coulomb states in Aharonov-Bohm...”

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Table of Contents: “... Davey-Stewartson Equation -- Volterra Operator Algebra for Zero Curvature Representation Universality of KP -- Calculation of All Commutation Relations Among Scattering Data Without Using the R-Matrix Approach -- Fluctuating Solitons of the KdV Hierarchy...”

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Table of Contents: “... of the Massive Thirring (Sine-Gordon) Model -- The Operator Algebra of the Discrete State Operators in 2D Gravity with Non-vanishing Cosmological Constant -- Hidden Goemetrical Structures in Integrable Models -- Picard-Fuchs Equations and Low Energy Couplings...”

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Table of Contents: “... Expansion -- The Free-energy Theorem -- Dynamical Entropy of Quasi-local Algebras -- The Weak Coupling Limit for a Fermi Gas in a Random Potential -- The Gap Labelling Theorem: the Case of Automatic Sequences -- Operator Algebra Approach to Soluble Models...”

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Table of Contents: “... of formal deformations of Lie algebras -- On the rigidity of solvable Lie algebras -- Triangular algebras -- B. Perturbations of algebras in functional analysis and operator theory -- Deformation theory for algebras of analytic functions -- Close operator...”

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Table of Contents: “...I -- 1. Introduction -- 2. Conventional Magnetism Diagrams and Their Limitations. Present State of the Art -- 3. Tensor Operator Algebra for Point Groups -- 4. The Weak-Field Method -- 5. The Intermediate-Field Method -- 6. Description of Programs -- 7...”

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Table of Contents: “... of phases in one component ferromagnets -- A survey of local cohomology -- Operator algebras and statistical mechanics -- Foundations of equilibrium quantum statistical mechanics -- Unbounded derivations of C*-algebras and corresponding dynamics -- to the flow...”

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