Phase space crystals : condensed matter in dynamical systems /

This book aims to develop a general framework of condensed matter theory in phase space, instead of configuration space, of a dynamical system. Different from Euclidean real space, phase space is embedded with symplectic geometry in classical mechanics or noncommutative geometry in quantum mechanics...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Guo, Lingzhen (Author)
Format: Electronic eBook
Language:Inglés
Published: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2021]
Series:IOP (Series). Release 21.
IOP ebooks. 2021 collection.
Subjects:
Condensed matter.
Crystals.
Phase space (Statistical physics)
Condensed matter physics (liquid state & solid state physics)
Online Access:Texto completo
Table of Contents:
  • 1. Introduction
  • 2. Dynamical systems
  • 2.1. Canonical mechanics
  • 2.2. Weakly-chaotic dynamics
  • 2.3. Quantum mechanics
  • 3. Phase space lattices
  • 3.1. Lattice symmetry in phase space
  • 3.2. Quasinumber band theory
  • 3.3. Noncommutative geometry
  • 4. Many-body physics in phase space
  • 4.1. Classical many-body dynamics
  • 4.2. Quantum many-body effects
  • 5. Phase space crystal vibrations
  • 5.1. Lattice dynamics
  • 5.2. Topological phase space lattice waves
  • 6. Time crystals
  • 6.1. Wilczek's time crystal
  • 6.2. Floquet time crystals
  • 6.3. Time crystals and phase space crystals
  • Appendix A. Phase space lattices
  • Appendix B. Phase space interactions
  • Appendix C. Phase space crystal vibrations.

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