دانلود کتاب Quantum Tools for Macroscopic Systems

فهرست مطالب :

Preface
Introduction
Organization of the Book
References
Contents
1 Preliminaries
1.1 The Bosonic Number Operator
1.2 The Fermionic Number Operator
1.3 Dynamics for a Quantum System
1.3.1 Schrödinger Representation
1.3.2 Heisenberg Representation
1.4 From Operators to Functions
1.5 A Comment on Large Time Behavior and Equilibria
1.6 The (H,ρ)-Induced Dynamics
1.6.1 The Rule ρ as a Map from mathcalH to mathcalH
1.6.2 The Rule ρ as a Map in the Space of the Parameters of H
1.7 A Short Comment on H
1.8 Tutorial 1: A Two-Mode System
1.9 Tutorial 2: A First View to Open Systems
2 Dynamics with Asymptotic Equilibria
2.1 Introduction
2.2 Two-Mode Fermionic System and (H,ρ)-Induced Dynamics
2.3 A Generalized Hamiltonian Leading to Asymptotic Equilibria
2.4 Asymptotic Steady States and Parameters
2.5 Conclusions and Perspectives
3 Epidemics: Some Preliminary Results
3.1 Introduction
3.2 The Model and Its Dynamics
3.3 Applications
3.3.1 Lockdown Measures
3.4 Conclusions
4 Spreading of Information in a Network
4.1 Introduction
4.2 The Model and Its Dynamics
4.2.1 The Hamiltonian and Its Effect
4.2.2 The Effect of the Rule
4.3 Applications
4.3.1 A Simple Network with 3 Agents
4.3.2 A Network with 7 Agents
4.4 Conclusions
5 Population Dynamics in Large Domains
5.1 Introduction
5.2 The Mathematical Framework
5.2.1 Transport Operators
5.3 The Hamiltonian Operator
5.4 Application to Large Domain: The 2D Model
5.4.1 First Application: Prey-Predator Dynamics
5.4.2 Second Application: Marine Dynamics
5.5 Conclusions
6 Political Dynamics
6.1 Introduction
6.2 The Basic Model
6.2.1 Different Behaviors Depending on the Cross Interactions
6.3 The Advanced Model: Rule Induced Dynamics
6.4 A Case Study: The Dynamics of Turncoats in the Italian XVII Legislature
6.5 Conclusions
7 Phase Transitions and Decision Making
7.1 Introduction
7.2 Introducing the Framework
7.3 The Model
7.4 Conclusions
8 Conclusions
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