Quantum Tools for Macroscopic Systems 9783031302794, 9783031302800

Table of contents :
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
[DELETE]

Polecaj historie

Quantum Tools for Macroscopic Systems 9783031302800, 9783031302794, 303130280X

This book describes how complex systems from a variety of fields can be modeled using quantum mechanical ideas; from bio

150 10 22MB Read more

Quantum Tools for Macroscopic Systems 3031302796, 9783031302794

This book describes how complex systems from a variety of fields can be modeled using quantum mechanical ideas; from bio

224 89 3MB Read more

Microscopic to Macroscopic 0939950189

479 52 217MB Read more

Software Tools for the Simulation of Electrical Systems 9780128194171

616 80 30MB Read more

Languages and Tools for Hybrid Systems Design 193301928X, 9781933019284, 9781933019789

645 129 2MB Read more

Classical Systems in Quantum Mechanics 3030450694, 9783030450694

This book investigates two possibilities for describing classical-mechanical physical systems along with their Hamiltoni

138 38 4MB Read more

It Tools and Business Systems 0071077715, 9780071077712

606 50 24MB Read more

Quantum Computer Systems: Research for Noisy Intermediate-Scale Quantum Computers (Synthesis Lectures on Computer Architecture) 168173866X, 9781681738666

This book targets computer scientists and engineers who are familiar with concepts in classical computer systems but are

615 32 2MB Read more

Tools for Thought

160 64 31MB Read more

Complex Quantum Systems: Analysis Of Large Coulomb Systems : Analysis of Large Coulomb Systems 9789814460156, 9789814460149

This volume is based on lectures given during the program “Complex Quantum Systems” held at the National University of S

254 38 3MB Read more