A Journey Around the Different Scales Involved in the Description of Matter and Complex Systems A Brief Overview with Special Emphasis on Kinetic Theory Approaches /

This SpringerBrief covers the main scales of description of matter, starting at its finest level, the quantum scale, moving through ab-initio, molecular dynamics, coarse grained approaches, to finish at the scale of kinetic theory models that allows a nice compromise between the rich but expensive m...

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Bibliographic Details
Main Author: Chinesta, Francisco (Author)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:SpringerBriefs in Applied Sciences and Technology,
Subjects:
Mechanics.
Mechanics, Applied.
Quantum physics.
Materials science.
ISBN:9783319700014
ISSN:2191-530X
Online Access: Get full text
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Table of Contents:
  • 1 The Schrödinger equation
  • 1.1 The history of quantum mechanics in small bits
  • 1.2 Planck versus the ultraviolet catastrophe
  • 1.3 An intuitive approach to the Schrödinger equation
  • 1.4 The Feynman approach
  • 1.5 The Schrödinger equation
  • 1.6 Relations between position and momentum wavefunctions
  • 1.7 Heisenberg uncertainty principle
  • 1.8 Observable and its time evolution
  • 1.9 The Hellmann-Feynman theorem
  • 1.10 The Pauli exclusion principle
  • 1.11 On the numerical solution of the Schrödinger equation
  • 2 Ab-initio calculations
  • 2.1 The Hartree-Fock description
  • 2.2 Density Functional Theory
  • 2.3 Concluding remarks on the quantum scale
  • 3 Coarse-grained descriptions
  • 3.1 Molecular dynamics
  • 3.2 Brownian dynamics
  • 4 Kinetic theory models. 4.1 Motivation
  • 4.2 Kinetic theory description of simple liquids and gases
  • 4.3 Complex fluids
  • 4.4 The Chemical Master Equation
  • References.

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