Preface |
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xi | |
Prologue I Synergetic Agents: Classical |
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xiii | |
Prologue II Synergetic Agents: Quantum |
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xxix | |
Color Plates |
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xlv | |
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Part One Classical Synergetic Agents |
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1 | (114) |
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1 Introduction: In Search for General Principles |
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3 | (20) |
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1.1 Physics: the Laser Paradigm - Self-Organization in Nonequilibrium Phase Transitions |
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4 | (3) |
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1.2 Biology: Movement Coordination |
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7 | (2) |
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1.3 Computer Science: Synergetic Computer as Neural Model |
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9 | (4) |
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1.3.1 Synaptic Strengths are Fixed by the Synergetic Computer via vk |
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10 | (1) |
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1.3.2 vk Learned by the Synergetic Computer |
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11 | (1) |
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1.3.3 Learning of Synaptic Strengths |
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12 | (1) |
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1.4 Synergetics Second Foundation |
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13 | (6) |
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1.4.1 A Reminder of Jaynes' Principle |
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13 | (2) |
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1.4.2 Application of the Maximum Information (Entropy) Principle to Nonequilibrium Systems and in Particular to Nonequilibrium Phase Transitions |
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15 | (4) |
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19 | (4) |
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20 | (3) |
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23 | (84) |
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2.1 Multirobot Systems and the Free Energy Principle: A Reminder of Chapter 1 |
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23 | (3) |
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2.2 Action Principle for a Multirobot System |
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26 | (1) |
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2.3 Generation of Order Parameter Fields |
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27 | (1) |
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28 | (1) |
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2.3.2 Limited Sensory and/or Computer Power |
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28 | (1) |
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2.4 Expected Final State of Total System |
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28 | (1) |
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2.5 Determination of Absolute Position |
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29 | (1) |
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2.6 How Can Robots Use the Information Provided by the Order Parameter Field? |
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30 | (2) |
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2.6.1 No Objects in Plane ("Free Robots") |
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30 | (1) |
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2.6.2 A Concave Object in Plane |
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30 | (1) |
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30 | (1) |
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2.6.4 Collective Motion through an Array of Obstacles in a Preferred Direction |
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31 | (1) |
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2.6.5 More Complicated Robot-Robot Interactions |
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31 | (1) |
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2.6.6 Formation of Letters? |
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31 | (1) |
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2.7 What have the Order Parameters ξ (Laser) and V (Robots) in Common? |
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32 | (2) |
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2.8 Is the Multirobot Potential V (χ) an Order Parameter? A Critical Discussion |
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34 | (1) |
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2.9 Information Field and Order Parameter Field |
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35 | (1) |
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2.10 Robots Minimize their Information: Haken-Levi Principle |
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36 | (7) |
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2.10.1 Non-Newtonian Dynamics |
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40 | (2) |
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2.10.2 The Nature of Fluctuations |
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42 | (1) |
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2.11 Information in Case of Several Modes of Action |
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43 | (1) |
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2.12 Probability Distributions and Slaving Principle |
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43 | (2) |
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2.13 Role of Information in Levy Flights |
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45 | (3) |
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2.13.1 Search for Objects |
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45 | (2) |
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2.13.2 LFG Model in Two Dimensions |
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47 | (1) |
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2.14 Equations of Motion in the Field of a Superposition of Harmonic Potentials |
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48 | (16) |
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2.14.1 Selection of Potentials |
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48 | (3) |
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2.14.2 Calculations of the Restriction of Motion Parameters |
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51 | (1) |
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2.14.2.1 General Derivation of Motion Restrictions |
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51 | (2) |
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2.14.2.2 Special Derivation of Restrictions of Motion |
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53 | (2) |
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2.14.3 Equations of Motion |
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55 | (1) |
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2.14.3.1 Complete Equations |
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55 | (7) |
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2.14.3.2 Overdamped Motion in 2D |
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62 | (2) |
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2.15 Calculation of Restrictions from Local Information of Motion |
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64 | (5) |
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2.15.1 Solution of the Fokker-Planck Equation for a Harmonic Potential |
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65 | (1) |
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2.15.2 Stationary Solution of Fokker-Planck Equation |
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65 | (4) |
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2.16 System Information: Expectation Value of Local Information of Individual Agents |
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69 | (7) |
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2.17 Docking of Robot at Object or Other Robot in Two Dimensions: Two Versions of a Case Study |
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76 | (6) |
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76 | (2) |
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2.17.2 Dynamics of Center of Gravity |
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78 | (1) |
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78 | (1) |
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79 | (1) |
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2.17.3 Collision Avoidance: Circumvention of Obstacle |
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80 | (1) |
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2.17.4 Langevin and Fokker-Planck Equations: Information |
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80 | (2) |
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2.18 Docking of Robot at Object or Other Robot in Two Dimensions. Center of Gravity Motion. Approach 3. Survey |
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82 | (4) |
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2.18.1 Requirements on the Sensors |
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86 | (1) |
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2.19 Dynamics of Center of Gravity. Approach 3. Equations of Motion |
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86 | (4) |
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2.20 Docking at an Object or Other Robot in Two Dimensions |
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90 | (2) |
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90 | (2) |
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2.21 Docking of Robot in Three Dimensions I |
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92 | (1) |
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92 | (1) |
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2.22 Docking of Robot in Three Dimensions II: Equations of Motion, Measurement of Position, and Determination of Desired Fixed Point |
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93 | (6) |
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2.23 Overview: Total Equations of Motion in Three Dimensions based on Local Information |
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99 | (8) |
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2.23.1 Equation of Motion of the Centers of Gravity |
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100 | (1) |
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2.23.2 Equation of Rotational Motion of the Approaching Process |
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101 | (1) |
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2.23.3 Complete Information of the Approaching Maneuver of Two Robots |
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102 | (1) |
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2.23.4 Equations of Motion of Center of Gravity to a Defined Docking Position |
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102 | (3) |
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2.23.5 Equation of Rotational Motion During the Alignment Process |
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105 | (1) |
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2.23.6 Complete Information of the Alignment Maneuver |
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105 | (1) |
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106 | (1) |
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3 Multirobot Action II: Extended Configurations |
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107 | (8) |
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3.1 Formation of Two-Dimensional Sheets |
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107 | (1) |
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3.2 Pattern Recognition: Associative Memory |
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108 | (1) |
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3.3 Pattern Recognition and Learning (Optical Arrangement) |
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108 | (2) |
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3.3.1 Other Recognition Tasks |
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110 | (1) |
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3.4 Formation of Buildings |
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110 | (1) |
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3.5 Macroscopic Locomotion and Movement |
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111 | (4) |
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113 | (2) |
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Part Two Quantum Synergetic Agents |
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115 | (158) |
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Introduction: Molecular Robotics and Quantum Field Theory |
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115 | (4) |
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4 Quantum Theory of Robotic Motion and Chemical Interactions |
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119 | (38) |
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4.1 Coherent Action and Synchronization: the Laser Paradigm |
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119 | (4) |
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123 | (2) |
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123 | (2) |
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4.2.2 Some General Remarks on Our Methodology |
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125 | (1) |
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125 | (3) |
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4.3.1 Schrodinger Representation |
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126 | (1) |
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4.3.2 Heisenberg Representation |
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127 | (1) |
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4.3.3 Interaction Representation |
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127 | (1) |
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4.4 Molecules: The Nanolevel |
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128 | (4) |
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132 | (5) |
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4.6 The Explicit Form of the Heisenberg Equations of Motion: A "Menu" |
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137 | (3) |
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4.7 The Complete Heisenberg Equations for the Coupling between a Fermi Field and a Bose Field, Including Damping, Pumping, and Fluctuating Forces |
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140 | (2) |
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4.8 The Explicit Form of the Correlation Functions of Quantum Mechanical Langevin Forces |
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142 | (4) |
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4.9 Heisenberg Equations of Motion for ψ(x) |
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146 | (2) |
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4.10 Solution to the Heisenberg Equation for Operator Wave Functions: Wave Packets |
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148 | (4) |
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4.11 Many-Partide Systems in Quantum Field Theory I: Noninteracting Particles |
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152 | (1) |
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4.12 Many-Particle Systems in Quantum Field Theory II: Interacting Particles |
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153 | (4) |
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154 | (3) |
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5 Applications to Molecular Processes |
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157 | (24) |
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5.1 Dynamics of the Transformation of a Molecule A into a Molecule B |
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157 | (2) |
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5.2 Correlation Function for the Incoherent Parts |
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159 | (4) |
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5.3 Dynamics of the Transformation of a Molecule A Into a Molecule B: the Initial State is a Coherent State |
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163 | (2) |
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5.4 Dynamics of the Transformation of a Molecule A into a Molecule B: Coherent Driving |
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165 | (2) |
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5.5 The Method of Adiabatic Elimination |
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167 | (1) |
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5.6 Adiabatic Elimination: a Refined Treatment |
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168 | (4) |
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5.7 Parametric Molecular Processes |
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172 | (4) |
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5.8 Parametric Oscillator |
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176 | (5) |
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6 Molecular Transport along One-Dimensional Periodic Structures |
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181 | (20) |
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181 | (10) |
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6.1.1 Transport in One-Dimensional Periodic Structures |
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181 | (1) |
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6.1.1.1 Examples of Such Structures |
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181 | (1) |
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6.1.1.2 Examples of Transported Objects |
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181 | (1) |
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6.1.1.3 Kinds of Transport |
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182 | (1) |
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6.1.1.4 The Basic Question |
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182 | (1) |
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6.1.1.5 Microtubuli and Actin Filaments |
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183 | (1) |
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6.1.1.6 Motor Proteins: Kinesin and Dynein |
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183 | (1) |
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183 | (1) |
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6.1.2 Basic Equations of Passive Molecular Transport: Noise-Free Solution |
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184 | (4) |
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6.1.3 The Impact of Quantum Fluctuations |
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188 | (2) |
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190 | (1) |
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6.2 Production and Transport of Molecules |
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191 | (5) |
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6.3 Signal Transmission by Molecules |
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196 | (5) |
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199 | (2) |
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7 A Topic in Quantum Biology |
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201 | (18) |
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7.1 Contraction of Skeleton Muscles |
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201 | (2) |
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7.1.1 Structure and Function of the Skeleton Muscle of Vertebrates |
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201 | (1) |
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7.1.2 Interaction between Myosin and Actin |
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202 | (1) |
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7.2 Details of the Movement Cycle |
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203 | (1) |
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7.3 The Model and Its Basic Equations |
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203 | (3) |
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7.4 Solution to Equations 7.7-7.15 |
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206 | (4) |
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207 | (2) |
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209 | (1) |
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7.5 The Steps (3) and (4) |
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210 | (1) |
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7.6 Discussion of Sections 7.4-7.5 |
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211 | (1) |
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7.7 The Skeleton Muscle: a Reliable System Composed of Unreliable Elements |
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212 | (4) |
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7.8 Detailed Derivation of (7.75) |
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216 | (3) |
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217 | (2) |
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219 | (14) |
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219 | (1) |
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8.2 The Maximum Information Principle |
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220 | (4) |
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8.3 Order Parameters and Enslaved Modes |
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224 | (1) |
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8.4 Haken-Levi Principle I: Quantum Mechanical |
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225 | (2) |
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8.5 Haken-Levi Principle II: Quantum Mechanical |
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227 | (6) |
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232 | (1) |
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233 | (40) |
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9.1 Construction Principles: The Basic Material |
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233 | (2) |
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235 | (5) |
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9.2.1 Step by Step: Glueing Together and Cleaving |
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235 | (5) |
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9.3 Goal (Road Map of the Following Chapter) |
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240 | (1) |
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9.4 Quantum Field Theory of Motion of a Molecular Robot: a Model |
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240 | (30) |
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9.4.1 A Molecule Moves on an "Energy-Rich" Substrate |
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240 | (1) |
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9.4.1.1 Molecular Quantum System |
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240 | (1) |
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240 | (1) |
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241 | (1) |
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9.4.1.4 Considered Scenario |
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241 | (1) |
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9.4.1.5 Labeling the Quantum States |
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242 | (1) |
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9.4.1.6 Labeling the States of Processes |
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243 | (1) |
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9.4.2 General Site l, Transitions, Hamiltonians |
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244 | (2) |
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9.4.3 Two Types of Solution |
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246 | (1) |
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9.4.3.1 "Grass Fire" Solution |
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246 | (10) |
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9.4.3.2 "Running Waves" Solution |
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256 | (7) |
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263 | (1) |
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9.4.4.1 Collective Motion of Several Robot Molecules: Equations of Motion |
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263 | (1) |
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9.4.4.2 Synchronization of Motion |
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264 | (1) |
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9.4.4.3 Derivation of Basic Equations of Coherent Motion |
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265 | (2) |
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267 | (3) |
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9.5 The Question of Molecular Quantum Waves |
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270 | (3) |
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271 | (2) |
Appendix: The Meaning of Expectation Values and Correlation Functions of Bose and Fermi Operators |
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273 | (4) |
List of Symbols |
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277 | (4) |
Index |
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281 | |