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Table of Contents: “...Chapter 1. What is quantum? -- Chapter 2. Brief history of quantum mechanics -- Chapter 3. Classical mechanics and old quantum theories -- Chapter 4. Complex number and linear algebra -- Chapter 5. Quantum entanglement and Bell's inequality -- Chapter 6...”

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Table of Contents: “... Cayley{Klein Geometries -- Chapter 16.Zernike system stems from free motion on the 3-sphere -- Chapter 17.W-algebras via Lax type operators -- Chapter 18.Color Algebraic Extension of Supersymmetric Quantum Mechanics -- Chapter 19.The Racah algebra and sln...”

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Table of Contents: “... Algebras and Quantum Logic....”

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Table of Contents: “... Modules -- References -- Moving Frames and Coframes -- References -- The Fibonacci-Deformed Harmonic Oscillator -- About Strictly Increasing Sequences of Positive Numbers -- Quantum Algebra Associated with the Spectrum ? = xn -- The ?-Natural Spectrum...”

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Table of Contents: “...From the Foundations of Quantum Theory to Quantum Technology — an Introduction -- Quantum Information Theory — an Invitation -- Quantum Communication -- Quantum Algorithms: Applicable Algebra and Quantum Physics -- Mixed-State Entanglement and Quantum...”

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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: “... Representation of Observables by Matrices -- A.4 The Factorization Method -- A.5 Continuous Eigenvalues -- A.6 Parafermion Representations of Lie Algebras....”

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Table of Contents: “... Homogeneous spaces, quasi-invariant, and invariant measures -- 4.2 Induced representations and systems of covariance -- 4.3 An extended Schur’s lemma -- 4.4 Harmonic analysis on locally compact abelian groups -- 4.5 Lie groups and Lie algebras: A reminder -- 5...”

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Table of Contents: “...I First Quantization and Path Integrals -- 1 Path Integrals and Point Particles -- 2 Nambu—Goto Strings -- 3 Superstrings -- 4 Conformal Field Theory and Kac-Moody Algebras -- 5 Multiloops and Teichmüller Spaces -- II Second Quantization and the Search...”

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