Note: Intro -- Preface -- Organization -- Contents -- Fundamentals -- Fundamental Physics and the Mind - Is There a Connection? -- 1 Introduction -- 2 Weak and Strong Quantum Cognition in 1951: Bohm's Early Discussion -- 3 Comparison with Contemporary Philosophy of Mind and Cognitive Science -- 4 Fundamental Physics and the Mind in Kant's Critical Philosophy -- 5 Concluding Remarks: Extending or Traversing the Bounds of Sense? -- Literature -- What is Quantum? Unifying Its Micro-physical and Structural Appearance -- 1 Introduction -- 2 The Micro-physical Quantum Appearance -- 3 The Structural Quantum Appearance -- 4 Unifying Micro-physical and Structural Appearance -- References -- Feedback Loops: A Fundamental Ingredient of Information Processing -- 1 Introduction -- 2 Types of Information -- 3 Potential Information -- Change of State -- 4 Feedback: Five Examples -- 5 Potential Information as a Quantum State: Quantum Interaction -- 6 The Brain, The Universe -- References -- Semantics and Memory -- Semantic Composition Inspired by Quantum Measurement -- 1 Introduction -- 2 States -- 2.1 Density Operators -- 2.2 Learning Lexical Density Operators -- 3 Composition via Measurement -- 3.1 Formalisms -- 3.2 Semantic Composition -- 4 Entropy -- 5 Experiments -- 6 Results and Conclusions -- References -- Expansion-by-Analogy: A Vector Symbolic Approach to Semantic Search -- 1 Introduction -- 2 Expansion-by-Analogy -- 3 Mathematical Structure and Methods -- 3.1 Circular Holographic Reduced Representations -- 3.2 Predication-Based Semantic Indexing (PSI) -- 3.3 Document Vector Construction -- 3.4 Pseudo-Relevance Feedback -- 4 Evaluation -- 4.1 Methods and Materials -- 4.2 Results and Discussion -- 5 Conclusion -- References -- Subadditivity of Episodic Memory States: A Complementarity Approach -- 1 Introduction -- 2 Episodic Subadditivity. , 3 The Quantum Episodic Model -- 4 The Complementarity Model -- 5 Conclusion -- References -- A Vector Field Approach to Lexical Semantics -- 1 Introduction -- 2 A Tale of Two Planes -- 2.1 Aristotle and QI -- 2.2 Working Hypothesis -- 3 Word Semantics as a Vector Field: Experiment Design -- 3.1 Energy-Like Objectives in Machine Learning -- 3.2 Implementing a Potential Field with Lexical Gaps -- 4 Emergent Self-organizing Maps for Semantic Interpolation -- 5 Results and Evaluation -- 6 Conclusions and Future Work -- References -- Decision Making -- Quantum(-like) Formalization of Common Knowledge: Binmore-Brandenburger Operator Approach -- 1 Introduction -- 2 Set-Theoretic Model of Common Knowledge -- 3 Quantum(-like) Scheme -- 4 Possible Generalization to Multi-question Information Representations -- References -- Quantum(-Like) Decision Making: On Validity of the Aumann Theorem -- 1 Introduction -- 2 Quantum(-Like) Approach to Common Knowledge -- 3 Quantum(-Like) Viewpoint on the Aumann's Theorem -- 3.1 Common Prior Assumption -- 3.2 Quantum Probability Update -- 3.3 Interference Prevents Agreement -- 3.4 Sufficient Conditions of Validity of the Quantum(-Like) Version of the Aumann Theorem -- 4 Conclusion -- References -- Modelling Attitudes to Climate Change --- An Order Effect and a Test Between Alternatives -- 1 Modelling Attitude Change in a Social Context -- 1.1 A Quantum-Like Model of Attitude Change -- 1.2 Alternative Quantum Inspired Models -- 2 Attitudes to Climate Change, Science and Politics -- 2.1 An Australian 2013 Election Survey -- 2.2 An Order Dependency for Climate Change Belief -- 3 An Quantum Approach: The QQ Model -- 4 A Three-Way Scenario -- 4.1 Limitations of the QQ Model -- 5 Conclusions -- References -- Towards a Quantum Probability Theory of Similarity Judgments -- 1 Introduction -- 1.1 Background -- 1.2 Asymmetry. , 1.3 Diagnosticity -- 1.4 Discussion -- 2 The Quantum Model of Similarity Judgments -- 2.1 Outline of the Model -- 2.2 Comments -- 2.3 Asymmetry -- 2.4 Diagnosticity -- 3 Open Questions and Areas for Further Work -- 3.1 How Do We Fix the Initial State? -- 3.2 Can We Model Asymmetries Due to Frequency/Prototypicality? -- 3.3 Is There Genuine Contextuality in Similarity Judgments? -- 3.4 Are There Novel Quantum Predictions? -- 3.5 Can the Quantum Similarity Model Be Extended? -- 3.6 Can We Frame Quantum Similarity as a Process Theory? -- 4 Conclusions -- References -- Positive Operator-Valued Measures in Quantum Decision Theory -- 1 Introduction -- 2 Operationally Testable Events -- 3 Operationally Uncertain Events -- 4 Composite Non-entangled Prospects -- 5 Composite Entangled Prospects -- 6 Uncertainty in Standard Lotteries -- 7 Conclusion -- References -- Games, Politics, and Social Aspects -- Aesthetics as Incentive: Privacy in a Presence Culture -- 1 Introduction -- 2 Privacy in a Meaning Culture -- 3 Presence or Why Quantum Concepts are not Metaphorical -- 4 Privacy in a Presence Culture -- 5 Conclusion -- References -- A Quantum Formalization for Communication Coordination Problems -- 1 Introduction -- 1.1 Statement of the Problem -- 1.2 Motivating Example and Analysis -- 1.3 Organization of the Paper -- 2 Related Work -- 2.1 The Grounding Model of Communication -- 2.2 Order Effect -- 2.3 Category to Instance Adjustment -- 3 Properties of Quantum Models and Hilbert Spaces -- 3.1 Unitary Transformation Matrices -- 4 A Formal Model for Perspective Taking -- 5 Conclusion and Future Research -- References -- Financial Payoff Functions and Potentials -- 1 Introduction -- 2 Financial Payoff Function and the Potential Function -- 3 Private Information and the Wave Function -- 4 Why Quantum Mechanics? -- 5 Tunnelling -- 6 Conclusion -- References. , Quantum Like Modelling of the Nonseparability of Voters' Preferences in the U.S. Political System -- Abstract -- 1 Introduction -- 2 U.S. Political System and the Nonseparability Phenomenon -- 2.1 Nonseparability in Quantum Framework -- 3 Non Separability Phenomenon and Violation of Classical Probabilistic Framework: Empirical Evidence -- 3.1 Law of Total Probability: Test for ``Classicality'' of Obtained Frequencies -- 4 Generalized Quantum Representation of Voters' Belief State -- 4.1 Reconstruction of the Belief State by a Generalized Born Rule -- 5 Concluding Remarks -- Acknowledgements -- Appendix -- References -- Transparency in Public Life: A Quantum Cognition Perspective -- 1 Learning by Non-classically Minded Agents -- 1.1 The Basic Model -- 1.2 Analysis: The Value of New Information -- 2 Application: Transparency in Public Life -- 3 Concluding Remarks -- References -- Games with Type Indeterminate Players -- 1 Introduction -- 2 Types as Superpositions in a Hilbert Space -- 3 Games with TI Players -- 4 Example -- 5 Discussion -- References -- Non-Locality and Entanglement -- Temporal Non-Locality: Fact or Fiction? -- 1 Introduction -- 1.1 Non-Locality -- 2 Consistent Quantum Theory (CQT) -- 2.1 Frameworks -- 2.2 Quantum Histories -- 3 Weak Measurements -- 4 Realism -- 4.1 Pair-Correlations and Sum Rules -- 4.2 Inequalities -- 5 The Standard Bell Inequalities -- 5.1 Quantum Implementation -- 5.2 Violation of Inequalities -- 5.3 Classical Statistical Simulation -- 6 Temporal Bell Inequalities -- 6.1 Quantum Implementation -- 6.2 Violation of Inequalities -- 7 Alternative Approaches -- 7.1 Temporal Bell for Weak Measurements -- 7.2 Quantum Entanglement in Time -- 8 Summary and Remarks -- References -- Intentional Quantum Dynamics: Entangling Choices and Goals -- 1 Introductory Remark -- 2 Ecological Laws as Analogous to Quantum Laws. , 3 Background -- 4 Introduction -- 5 The Intentional Black Hole -- 6 Moved by Applied Forces or by Choosing Best Next Step -- 7 A Pox on both of Your Houses -- 8 Deriving Hamilton's Principle from the Sum over Histories -- 9 Ecosystems Have Current States Entangled with Goal-States -- 10 Interference, Complex Numbers, and the Origins of Entanglement -- 11 Gauge Forces and Cascade of Entanglements -- 12 A Peroration -- References -- Towards an Empirical Test of Realism in Cognition -- 1 Introduction -- 2 Realism in Cognitive Models -- 3 Realism Part 1: Cognitive Realism -- 4 Realism Part 2: Cognitive Completeness -- 5 Interlude: The Empirical Test and Some Experimental Considerations -- 6 What Should We Conclude if `Realism' Fails? -- 7 Conclusion -- References -- Author Index.

Note: Cover -- Half Title -- Title Page -- Copyright Page -- Preface -- Table of Contents -- Introduction to Models on Constant Negative Curvature Surfaces -- Cavity Quantum Electrodynamics -- Coherent Interactions of Two Trapped Ions -- Two-Photon Decay of Metastable Atomic Hydrogen and Bell's Inequality -- Quantum Localisation -- Studies of Fundamental Interactions Using Molecules -- Quantum Fluctuations and Applications of Squeezed Light -- Quantum Superpositions in Dissipative Environments: Decoherence and Deconstruction -- Optical Physics of Quantum Wells -- Simple Quantum Dynamics -- Atomic Hydrogen in Magnetostatic Traps -- Poster Abstracts -- Participants' Addresses -- Index.

Note: Cover -- Contents -- List of participants -- 1 Basics on Bose-Einstein condensation -- 1.1 Introduction -- 1.2 Ideal Bose-Einstein condensates -- 1.3 Mean-field theory -- 1.4 Beyond mean-field theory -- 1.5 Bimodal condensates -- Notes -- Acknowledgments -- References -- 2 Degenerate Fermi gases -- 2.1 Introduction -- 2.2 Ideal Fermi gas -- 2.3 Two-component Fermi gas -- Appendix A: The renormalization procedure -- Notes -- Acknowledgments -- References -- 3 Quantum information: primitive notions and quantum correlations -- 3.1 Quantum theory -- 3.2 Primitives of quantum information (I) -- 3.3 Primitives of quantum information (II) -- 3.4 Quantum correlations (I): the failure of alternative descriptions -- 3.5 Quantum correlations (II): the mathematics of no-signalling -- 3.6 Quantum correlations (III): the power of Bell -- Notes -- References -- 4 Quantum computing and entanglement -- 4.1 Introduction -- 4.2 Quantum networks -- 4.3 Quantum algorithms -- 4.4 Quantum error correction -- 4.5 Entanglement: introduction and basic definitions -- 4.6 Entanglement and quantum algorithms -- 4.7 One-way quantum computing -- Acknowledgments -- References -- 5 Quantum computation with trapped ions and atoms -- Preface -- 5.1 Ion (and atom) quantum logic -- 5.2 Scalability -- 5.3 Qubit interfacing -- Note -- References -- 6 Quantum Hall effects -- Preface -- 6.1 Introduction -- 6.2 Landau quantization -- 6.3 Integer quantum Hall effect -- 6.4 Strong correlations and the fractional quantum Hall effect -- 6.5 Brief overview of multicomponent quantum Hall systems -- Appendix A: Electronic band structure of graphene -- Appendix B: Landau levels of massive Dirac particles -- Notes -- References -- 7 Quantum phase transitions -- 7.1 Introduction -- 7.2 Quantum Ising model -- 7.3 Hubbard model -- 7.4 Conclusions -- 7.5 Appendix: The Jordan-Wigner transformation. , References -- 8 Interactions in quantum fluids -- 8.1 Introduction -- 8.2 Fermi liquids -- 8.3 Beyond Fermi liquid -- 8.4 One-dimensional systems -- 8.5 Conclusions -- Acknowledgments -- References -- 9 Disorder and interference: localization phenomena -- 9.1 Introduction -- 9.2 Transfer-matrix description of transport and Anderson localization in 1D systems -- 9.3 Scaling theory of localization -- 9.4 Key numerical and experimental results -- 9.5 Microscopic description of quantum transport -- 9.6 Coherent backscattering (CBS) -- 9.7 Weak localization (WL) -- 9.8 Kicked rotor -- Notes -- References -- 10 Quantum information processing and quantum optics devices -- 10.1 Basic field quantization - the foundations -- 10.2 A silly question: what is a photon? -- 10.3 Parametric-down conversion: a common workhouse -- 10.4 Quantum information with photons -- Notes -- References.

Note: Intro -- Preface -- Organization -- Organizing Committee -- International Advisory Board -- QTS Conference Board -- Plenary Speakers -- Session Organizers -- Sponsors -- Statement of Principles -- Contents -- Part I Special Session in Honour of Decio Levi: Integrability: Continuous and Discrete, Classical & -- Quantum -- Spin Chains of Haldane-Shastry Type: A Bird's Eye View -- 1 Introduction -- 2 Calogero-Sutherland Models -- 2.1 The Calogero Model -- 2.2 The Sutherland Model -- 3 Spin Dynamical Models -- 3.1 The AN-1 Spin Calogero Model -- 4 Spin Chains of Haldane-Shastry Type -- 4.1 The Chain Sites -- 4.2 The Partition Function -- 5 Supersymmetric Spin Chains -- 5.1 The su(m|n) Supersymmetric Exchange Operator -- 5.2 Chemical Potential -- 5.3 Partition Function -- 6 Associated Vertex Models -- 7 Thermodynamics -- 7.1 Example: The su(1|1) Case -- 8 Conclusions -- References -- Features of Discrete Integrability -- 1 Introduction -- 2 What Is a Quad Equation? -- 3 A Few Standard Features of Integrable Quad Equations -- 3.1 Discrete Lax Pairs -- 3.2 Consistency Around the Cube (CAC) -- 3.3 Lax Pair from the Consistency Around the Cube -- 3.4 Symmetries -- 3.5 Singularity Analysis -- 3.6 Complexity Analysis: Algebraic Entropy -- 3.7 What About Quad Equations? -- 4 A Case Study -- 4.1 Symmetries -- 4.2 A Lax Pair -- 4.3 What About Singularities? -- 4.4 What About Entropy? -- 5 Comments and Perspectives -- References -- Darboux-BäcklundTransformationsforSpin-ValuedLinearProblems -- 1 Introduction -- 2 Clifford Algebras, Spin Groups, and Isometries of Rp,q -- 3 Spin-Valued Linear Problems -- 3.1 Geometric Interpretation: Soliton Surfaces Approach -- 4 Darboux-Bäcklund Transformations -- 4.1 The Darboux-Bäcklund Transformation in the Case of Spin Groups -- 5 Conclusions and Open Problems -- References. , Painlevé IV Transcendents Generated from the Complex Oscillator -- 1 Introduction -- 2 Supersymmetric Quantum Mechanics -- 3 Polynomial Heisenberg Algebras -- 3.1 Second-Degree PHA -- 4 Complex Oscillator -- 5 SUSY Partners of the Complex Oscillator -- 6 PIV Transcendents -- 7 Conclusions -- References -- The Veronese Sequence of Analytic Solutions of the CP2s Sigma Model Equations Described via Krawtchouk Polynomials -- 1 The CP2s Sigma Model -- 2 Projective Formalism -- 3 Solutions of the CP2s Sigma Model -- 4 The su(2) Spin-s Representation -- 5 Geometrical Aspects of Surfaces -- References -- A Novel Integrable Fourth-Order Difference Equation Admitting Three Invariants -- 1 Introduction -- 2 Integrability of Difference Equations -- 3 A Novel Example -- 4 Final Remarks -- References -- Weighted Hurwitz Numbers, τ-Functions, and Matrix Integrals -- 1 Hurwitz Numbers: Classical and Weighted -- 1.1 Geometric Meaning of Classical Hurwitz Numbers -- 1.2 Weighted Hurwitz Numbers GH1, HO1, H1, GH2 -- 2 Hypergeometric τ-Functions as Generating Functions for Weighted Hurwitz Numbers GH1, HO1, H1, GH2 -- 3 Wronskian and Matrix Integral Representation of τ(G,β)([X]) -- 3.1 Adapted Basis, Recursion Operators, Quantum Spectral Curve -- 3.2 Quantum and Classical Spectral Curve -- Rational Weighting Case -- Mellin-Barnes Integral Representation: Meijer G-Functions BH, HR -- Quantum Case Expressed as Mellin-Barnes Integrals HR -- 3.3 Determinantal Representation of τ(G,β)(t) -- Eulerian Wronskian Representation -- 3.4 Matrix Integral Representation of τ(G,β)([X]) BH, HR -- Wronskian Representation: Rational Case -- Matrix Integral Representation of τ(G,β)([X]): Rational Case -- Wronskian Representation: Quantum Case -- Matrix Integral Representation of τ(G,β)([X]): Quantum Case -- References. , Constant Curvature Holomorphic Solutions of the Supersymmetric G(2,4) Sigma Model -- 1 Introduction -- 2 CCH Solutions of the Susy G(M,N) σ-Model -- 2.1 Susy Invariant Solutions -- 3 CCH Solutions of the Susy G(2,4) σ-Model -- 3.1 The Case of Z1 -- 3.2 The Case of Z2 -- 3.3 The Case of Z3 -- 3.4 The Case of Z4 -- 4 Conclusions and Final Comments -- References -- How to Deal with Nonlocality and Pseudodifferential Operators. An Example: The Salpeter Equation -- 1 The Spinless Salpeter Equation: An Introduction -- 2 Solutions of the Salpeter Equation -- 3 A Recursive Solution: Nonlocality via Laplace Transform -- References -- A New Approach to Analysis of 2D Higher Order Quantum Superintegrable Systems -- 1 Introduction -- 2 The Canonical Form for a Symmetry Operator -- 3 Third Order Superintegrability -- 4 Some Examples (Mostly New) -- References -- Ladder Operators and Rational Extensions -- 1 Introduction -- 2 Maya Diagrams -- 3 Rational Extensions -- 4 Categorical Structure -- 5 Ladder Operators -- 6 Examples -- References -- Tachyons and Representations of Sp(2,R) -- 1 Introduction -- 2 SO0(2,3), Sp(2,R), the Poincaré Group and Their Lie Algebras -- 3 Algebraic Results -- 4 Representations -- References -- A Confined Quasi-Maximally Superintegrable N-dimensional System, Classical and Quantum, in a Space with Variable Curvature -- 1 The Classical Model: General Features -- 1.1 Metrics and Scalar Curvature -- 1.2 Solution of the Radial Equation of Motion -- 2 The Quantum Model -- 3 Concluding Remarks and Future Perspectives -- References -- Conditional Discretization of a Generalized Reaction-DiffusionEquation -- 1 Introduction -- 2 Case 1 -- 2.1 Symmetry Reduced Equations and Solutions -- 2.2 Construction of the Discretized Equation -- 3 Case 4 -- 3.1 Symmetry Reduced Equations and Solutions -- 3.2 Construction of the Discretized Equation. , 4 Conclusions -- References -- Discrete Curve Flows in Two-Dimensional Cayley-Klein Geometries -- 1 Introduction -- 2 Cayley-Klein Planes -- 3 Moving Frames -- 4 Recurrence Relations -- 4.1 Exterior Derivative -- 4.2 Shift Map -- 5 Invariant Linearization Operators -- 6 Geometric Flows -- References -- Zernike System Stems from Free Motion on the 3-Sphere -- 1 Introduction: The so(4) Algebra -- 2 Realization of SO(4) on the 3-Sphere -- 3 Two Coordinate Systems for S3 -- 4 Projection on the 2-Sphere S2 -- 5 Interbasis Expansion Coefficients -- 6 Concluding Remarks -- References -- Part II Algebraic and Non-perturbative Methods -- W-Algebras via Lax Type Operators -- 1 Introduction -- 2 What Is a W-Algebra? -- 2.1 Fundamental Physical Theories and Corresponding Fundamental Algebraic Structures -- (Poisson) Vertex Algebras -- Vertex Algebras -- 2.2 A Toy Model -- 2.3 Hamiltonian Reduction -- 2.4 From the Toy Model to W-Algebras -- Classical Finite W-Algebras -- Finite W-Algebras -- Classical Affine W-Algebras -- Quantum Affine W-Algebras -- 3 Linear Algebra Intermezzo -- 3.1 Set Up -- 3.2 The ``Identity'' Notation -- 3.3 Generalized Quasideterminants -- 4 Quantum Finite W-Algebras and (Twisted) Yangians -- 4.1 Lax Type Operators for Quantum Finite W-Algebras -- 4.2 The Generalized Yangian Identity -- 4.3 Quantum Finite W-Algebras and (Extended) Twisted Yangians -- 5 Classical Affine W-Algebras and Integrable Hierarchies of Lax Type Equations -- 5.1 Lax Type Operators for Classical Affine W-Algebras -- 5.2 Integrable Hierarchies of Lax Type Equation -- References -- Color Algebraic Extension of Supersymmetric Quantum Mechanics -- 1 Introduction -- 2 Z2n-Graded Color Superalgebra and Z22-Graded SQM -- 3 Extensions of Bruce-Duplij Model -- 3.1 From Superalgebra to Z22-Graded Color Superalgebra -- 3.2 N Extension of Z22-Graded SQM -- 3.3 Z22-Graded SCM. , 4 Z23-Graded SQM -- References -- The Racah Algebra and sln -- 1 Introduction -- 2 Definition of the Higher Rank Racah Algebra -- 3 Realizing sln in n-1 Variables -- 3.1 Some Operators in U(Dn) -- 4 Realization of Rn in n-2 Variables -- 4.1 The Differential Embedding -- 5 Conclusions -- References -- On Reducible Verma Modules over Jacobi Algebra -- 1 Introduction -- 2 Preliminaries -- 3 Case G2 -- 4 Verma Modules and Singular Vectors -- 4.1 Definitions -- 4.2 Case G2 -- Weight 2δ1 -- Weight 2δ2 -- Weight δ1+δ2 -- Weight δ1-δ2 -- Weight δ1 -- Weight δ2 -- Weight 3δ2 -- References -- Howe Duality and Algebras of the Askey-Wilson Type: An Overview -- 1 Introduction -- 2 General Framework -- 3 The Dual Presentations of the Racah Algebra -- 4 More Dual Pictures: An Overview -- 4.1 The Racah Family -- 4.2 The Bannai-Ito Ensemble -- 4.3 The Askey-Wilson Class -- 5 Conclusion -- References -- Second-Order Supersymmetric Partners of the Trigonometric Rosen-Morse Potential -- 1 Introduction -- 2 Supersymmetric Quantum Mechanics -- 3 Trigonometric Rosen-Morse Potential -- 4 SUSY Partners of the Trigonometric Rosen-Morse Potential -- 5 Conclusions -- References -- A Noncommutative Geometric Approach to the Batalin-Vilkovisky Construction -- 1 Introduction: Why Noncommative Geometry -- 2 Finite Spectral Triples and Induced Gauge Theories -- 3 The BV Construction in the Algebraic Context -- 4 BV-Spectral Triple: The Notion and the Relevance -- 5 Conclusions and Outlooks -- References -- A New Method for Constructing Squeezed States for the Isotropic 2D Harmonic Oscillator -- 1 Introduction -- 2 Squeezed States of the 1D Harmonic Oscillator -- 3 The 2D Oscillator -- 4 SU(2) Coherent States -- 5 2D Squeezed States -- 6 Conclusion -- References -- Electron in Bilayer Graphene with Magnetic Fields Associated with Solvable Potentials -- 1 Introduction. , 2 Bilayer Graphene: A Brief Overview.

Note: Book Cover -- Title -- Copyright -- Contents -- Preface -- The following abbreviations are used for the titles of Russian editions: -- 23-1 On Rayleigh's Pendulum -- 26-1 On Schr¨odinger's Wave Mechanics -- 26-2 On the Invariant Form of the Wave Equation and of the Equations of Motion for a Charged Massive Point -- 28-1 A Comment on Quantization of the Harmonic Oscillator in a Magnetic Field -- 28-2 On the Relation between the Integrals of the Quantum Mechanical Equations of Motion and the Schrodinger Wave Equation -- 28-3 Generalization and Solution of the Dirac Statistical Equation -- 28-4 Proof of the Adiabatic Theorem -- 29-1 On "Improper" Functions in Quantum Mechanics -- 29-2 On the Notion of Velocity in the Dirac Theory of the Electron -- 29-3 On the Dirac Equations in General Relativity -- 29-4 Dirac Wave Equation and Riemann Geometry -- 30-1 A Comment on the Virial Relation -- 30-2 An Approximate Method for Solving the Quantum Many-Body Problem -- 30-3 Application of the Generalized Hartree Method to the Sodium Atom -- 30-4 New Uncertainty Properties of the Electromagnetic Field -- 30-5 The Mechanics of Photons -- 32-1 A Comment on the Virial Relation in Classical Mechanics -- 32-2 Con.guration Space and Second Quantization -- 32-3 On Dirac's Quantum Electrodynamics -- 32-4 On Quantization of Electro-magnetic Waves and Interaction of Charges in Dirac Theory -- 32-5 On Quantum Electrodynamics -- 33-1 On the Theory of Positrons -- 33-2 On Quantum Exchange Energy -- 34-1 On the Numerical Solution of Generalized Equations of the Self-consistent Field -- 34-2 An Approximate Representation of the Wave Functions of Penetrating Orbits -- 34-3 On Quantum Electrodynamics -- 35-1 Hydrogen Atom and Non-Euclidean Geometry -- 35-2 Extremal Problems in Quantum Theory -- 36-1 The Fundamental Signi.cance of Approximate Methods in Theoretical Physics. , 37-1 The Method of Functionals in Quantum Electrodynamics -- 37-2 Proper Time in Classical and Quantum Mechanics -- 40-1 Incomplete Separation of Variables for Divalent Atoms -- 40-2 On the Wave Functions of Many-Electron Systems -- 43-1 On the Representation of an Arbitrary Function by an Integral Involving Legendre's Function with a Complex Index -- 47-1 On the Uncertainty Relation between Time and Energy -- 50-1 Application of Two-Electron Functions in the Theory of Chemical Bonds -- 54-1 On the Schr¨odinger Equation of the Helium Atom -- 57-1 On the Interpretation of Quantum Mechanics -- 59-1 On the Canonical Transformation in Classical and Quantum Mechanics -- Index.

Note: Intro -- Preface -- Organization -- Contents -- Contextuality and Correlations -- Quantum Correlations: Challenging the Tsirelson Bound -- 1 Mathematics Guides Understanding -- 2 Codes -- 3 Bounded Complexity -- 4 Critical Language Dynamics -- 5 Amount of Correlations -- 6 Conclusion -- References -- Contextuality-by-Default: A Brief Overview of Ideas, Concepts, and Terminology -- 1 Introduction -- 1.1 On the Name of the Theory -- 1.2 Notation -- 2 Contextuality-by-Default at a Glance -- 2.1 Measurements Are Labeled Contextually -- 2.2 Measurements in Different Contexts Are Stochastically Unrelated -- 2.3 All Possible Couplings for all Measurements -- 2.4 Connections and their Couplings -- 2.5 Maximally Connected Couplings for Binary Measurements -- 2.6 Definition of Contextuality -- 2.7 Measure and Criterion of Contextuality -- 3 The History of the Contextuality-by-Default Approach -- 4 Conceptual and Terminological Clarifications -- 4.1 Contextuality and Quantum Mechanics (QM) -- 4.2 Contexts and QM Observables -- 4.3 The Meaning of Being Measured ``together'' -- 4.4 The Meaning of a Noncontextual Description -- 5 Instead of a Conclusion: Generalizations -- 5.1 Beyond Objects and Subsets -- 5.2 Beyond Binary Measurements -- References -- Contextuality and the Weak Axiom in the Theory of Choice -- 1 Introduction -- 2 Mathematical Framework of Contextuality -- 2.1 Contextuality -- 3 Choice -- 4 Generalized Choice Contextuality -- 5 Choice Scenarios and the Theory of Choice -- 5.1 The Weak Axiom and Contextuality -- 5.2 The Weak Axiom and No-Signalling -- 6 Probabilistic Choices -- 7 Discussion -- References -- Measuring Observable Quantum Contextuality -- 1 Introduction -- 2 Negative Probabilities (NP) -- 3 Contextuality-by-Default (CbD) -- 4 Leggett-Garg -- 5 EPR-Bell -- 6 Final Remarks -- A Proofs of Statements. , A.1 EPR-Bell: Contextuality-by-Default -- A.2 EPR-Bell: Negative Probabilities -- A.3 Leggett--Garg: Contextuality-by-Default -- A.4 Leggett--Garg: Negative Probabilities -- References -- Fundamentals -- Age and Time Operator of Evolutionary Processes -- Abstract -- 1 Introduction -- 2 Time Operator of Processes -- 3 Age of Processes -- 4 Aging of the Baker Map -- 5 The Greek Elections in June 2012 as Innovations -- 6 Aging of Markov Chains -- 7 Networks Evolution -- 8 Aging of Web Navigation -- 9 Aging of Populations -- 10 Aging of Scale-Free Networks -- 11 Non-Commutativity of Knowledge Networks Operations -- Acknowledgements -- References -- Can Bohmian Quantum Information Help us to Understand Consciousness? -- 1 Introduction -- 2 Bohm's Mind-Matter Scheme Based on Quantum Theoretical Active Information -- 3 Consciousness in the Quantum Theoretical Active Information Scheme -- 4 Tononi et al.'s Integrated Information Theory of Consciousness -- 5 Integrated Information Theory of Consciousness and the Bohmian Mind-Matter Scheme: A Brief Comparison -- Acknowledgments -- References -- Non-Classical Probabilities from Pilot Wave Models -- 1 Introduction -- 2 Pilot Wave Models -- 2.1 Bohmian Mechanics and the General Ideas -- 2.2 Definition of Pilot Wave Models -- 2.3 Some Examples -- 3 Events -- 3.1 The Double-Slit Experiment -- 3.2 The Guppy Effect -- 3.3 Chladni Patterns -- 3.4 Events in Pilot Wave Models -- 3.5 Probabilities from Pilot-Wave Models -- 4 A Pilot Wave Model for Mental States -- 5 Summary -- References -- Why Linear? An Illustration Using a Geometric Model of Quantum Interaction -- 1 Introduction -- 2 A Geometric Model -- 3 The Linearized and Weak Forms of the Equations -- 4 The Schrödinger Equation -- 5 Quantum Interaction -- References -- On Incompatible Descriptions of Systems Across Scales of Granularity -- 1 Introduction. , 2 Observables and Partitions -- 3 Dynamics and Extended Measurements -- 4 Generating Partitions and Chaotic Behavior -- 5 Compatibility and Incompatibility of Partitions -- 6 Non-Commutativity Across Descriptive Levels -- 7 Conclusion -- References -- Applications in Decision Making -- The Relation Between Acausality and Interference in Quantum-Like Bayesian Networks -- 1 Introduction -- 2 What is Causation -- 3 Acausal Connectionist Principle -- 4 Quantum-Like Bayesian Networks: Combining Causal and Acausal Principles for Quantum Cognition -- 4.1 Classical Bayesian Networks -- 4.2 From Classical Bayesian Networks to Quantum-Like Networks -- 4.3 Quantum-Like Bayesian Network -- 4.4 Semantic Networks: Incorporating Acausal Connections -- 4.5 Setting Quantum Parameters According to the Synchronicity Principle -- 5 Example of Application -- 6 Conclusions -- References -- Do Preferences and Beliefs in Dilemma Games Exhibit Complementarity? -- 1 Introduction -- 2 New Insights from a Quantum-Like Perspective -- 2.1 Sequential-Move Prisoner's Dilemma Game Explained -- 2.2 About Beliefs and Judgments in Economics and Cognitive Science -- 2.3 Complementarity of Preferences and Beliefs is Truly a Non-classical Effect -- 3 A Tentative Approach Towards a QP& -- B Model -- 4 Discussion, Conclusion and Future Plans -- References -- Complementarity -- Generalized Quantum Theory, Contextual Emergence and Non-Hierarchic Alternatives -- 1 Introduction -- 2 Generalized Quantum Theory -- 3 Contextual Emergence -- 4 Alternatives to Emergence -- 5 Conclusions -- References -- Complementarity in Psychophysics -- Abstract -- 1 Introduction -- 2 Complementary Emotional Observables -- 3 Complementary Physiological Observables -- 4 Conclusion and Prospects -- References -- A Compositional Explanation of the `Pet Fish' Phenomenon -- 1 Introduction. , 2 A Compositional Distributional Approach to Meaning -- 2.1 Pregroup Grammars -- 2.2 Grammatical Reductions in Vector Spaces -- 2.3 Frobenius Algebras -- 3 A Compositional Distributional Account of the `Pet Fish' Phenomenon -- 3.1 Creating Adjectives -- 3.2 Toy Model Using Adjective Vectors -- 3.3 Toy Model Using Relative Pronouns -- 4 Modelling Attribute Combination -- 5 Discussion -- References -- Social and Cultural Applications -- Conceptual Machinery of the Mythopoetic Mind: Attis, A Case Study -- 1 Introduction -- 2 Background -- 2.1 The Ambiguity About Attis -- 3 Measurements in the Context of Mythological Texts -- 3.1 Material and Method -- 3.2 Incompatibility -- 4 Studying Correlations -- 5 Conclusion and Future Research -- References -- Preventing (Another) Lubitz: The Thermodynamics of Teams and Emotion -- Abstract -- 1 Introduction -- 2 Mathematical Model -- 2.1 Mathematical Model of Behavior and Beliefs -- 2.2 Mathematical Model of Bistability -- 2.3 Mathematical Model of Social Uncertainty -- 3 Entropy Production and Multitasking -- 4 Conclusions -- References -- Ideologies and Their Points of View -- 1 A Clash of Ideologies -- 2 Framings in Society -- 3 A Case in Point: Skepticism About Climate Change -- 4 A Subspace Model of Ideologies and Points of View -- 5 Scaling Up: A General Model of Skepticism and Rhetoric -- 5.1 Scenario 1: Different Results of an Action -- 5.2 Scenario 2: Aligning Incompatible Ideologies Using Different Points of View -- 5.3 A Toy Mathematical Model -- 6 Conclusions -- References -- Semantic Representations -- Graded Semantic Vectors: An Approach to Representing Graded Quantities in Generalized Quantum Models -- 1 Introduction and Outline -- 2 The Problem of Graded Representation -- 3 First Example: Encoding of Orthography in Semantic Vectors -- 4 A General Approach to Encoding Graded Attributes. , 4.1 Generalized Quantum or Quantum-Like Properties -- 5 Tabular Data and Continuous Quantities -- 6 Inferring Proximity -- 6.1 Proximal Dates -- 6.2 Proximal Terms -- 7 Summary and Technology Potential -- References -- Embedding Probabilities in Predication Space with Hermitian Holographic Reduced Representations -- 1 Introduction -- 2 Background -- 2.1 Distributional Semantics and Predication-Based Semantic Indexing -- 2.2 Quantum-Inspired Operations and Interpretations -- 3 Mathematical Structure and Methods -- 3.1 Circular Holographic Reduced Representations (CHRR) -- 3.2 Predication-Based Semantic Indexing (PSI)) -- 4 Embedding Probabilities in Predication Space -- 4.1 Estimating Probabilities -- 4.2 Disjunction and Negation -- 4.3 Logical Leaps -- 5 Evaluating HHRR -- 6 Discussion -- 7 Conclusion -- References -- Modelling Cued-Target Recall Using Quantum Inspired Models of Target Activation -- 1 Introduction -- 2 Activation Models -- 2.1 The PIER3 Memory Model -- 2.2 Modelling Target Activation in PIER3 -- 2.3 Entanglement Activation Model -- 2.4 Entanglement Binary V1 -- 2.5 Entanglement Binary V2 -- 2.6 Entanglement Binary V3 -- 3 Emprirical Analysis of Activation Models -- 3.1 Data -- 3.2 Procedure -- 3.3 Results -- 4 Discussion -- 5 Summary and Outlook -- References -- Operators and Operator Valued Measures -- Real-Orthogonal Projections as Quantum Pseudo-Logic -- 1 Introduction -- 2 Some Definitions and Properties -- 3 Properties of Real-Orthogonal Projections -- 4 A Partial Ordering on Real-Orthogonal Projections -- 5 An Interpretation of R-orthogonality on R2n -- 6 Potential Application Areas -- 7 Conclusion -- References -- Applying POVM to Model Non-orthogonality in Quantum Cognition -- 1 The Problem of Projective Measurements -- 2 Quantum Measurement -- 2.1 Projection-Valued Measure (PVM). , 2.2 Is Repeatability a Sensible Requirement?.