New Directions in Quantum Chaos.

The rapid progress of the research field of quantum chaos and its applications called for a book that keeps students abreast of the new developments and at the same time provides a solid basis in subjects which form the canon of the field. This book discusses the following topics: Spectral statistic...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Casati, G.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: IOS Press, 2000.
Colección:International School of Physics Enrico Fermi Ser. ; vol. 143.
Temas:
Quantum chaos > Congresses.
Chaos quantique > Congrès.
Quantum chaos
Conference papers and proceedings
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Title Page
  • Indice
  • Preface
  • Gruppo fotografico dei partecipanti al Corso
  • Classical and quantum zeta-functions and periodic orbits theory
  • Introduction
  • Escape rates, zeta-functions and determinants
  • The strange repeller and its escape rate
  • Topological aspects, cycle expansions
  • Convergence properties of cycle expansion
  • Spectra and spaces
  • General structure of cycle expansion
  • Curvatures
  • Symbolic dynamics tricky points
  • Dynamical averages in terms of zeta-functions
  • Averages and generating functions
  • A model average calculation.
  • Dynamical averages and deterministic diffusion
  • A cycle expansion for the diffusion constant
  • A piecewise linear example
  • The inclusion of marginal stability
  • One-dimensional intermittent maps
  • Anomalous diffusion
  • Zeta-functions without periodic orbits
  • Semiclassics: Gutzwiller trace formula
  • Density of states and Green's functions
  • The WKB ansatz
  • Van Vleck formula
  • The semiclassical Green's function
  • The short-time contribution to G
  • Gutzwiller trace formula
  • Quantum determinants
  • Appendix A
  • Manipulations on Van Vleck's determinant
  • Appendix B.
  • From action to monodromy matrix
  • Spectral twinkling
  • Introduction
  • Examples of singularity-dominated strong fluctuations
  • Smells in random winds, and the sex life of moths
  • van Hove singularities and kin
  • Twinkling starlight
  • Spectral twinkling for integrable systems: superpoisson fluctuations
  • Spectral twinkling for mixed systems
  • Chaos, dissipation and quantal Brownian motion
  • Introduction
  • Definition of the problem
  • Restricted versions of the problem
  • ""History"" of the problem
  • Fluctuations: intensity and correlation time
  • Fluctuations: time-dependent Hamiltonian.
  • Actual, parametric and reduced energy changes
  • The sudden and the adiabatic approximations
  • Ballistic and diffusive energy spreading
  • Energy spreading and dissipation
  • Application to the ""piston"" example
  • The route to stochastic behavior
  • The transition probability kernel
  • Limitations on quantal-classical correspondence (QCC)
  • The parametric evolution of P(n.
  • An improved perturbation theory
  • Consequences of the improved perturbative treatment
  • The quantum-mechanical sudden approximation
  • The quantum-mechanical adiabatic approximation
  • Classical Brownian motion
  • The DLD Hamiltonian
  • The white-noise approximation (WNA)
  • Consequences of the WNA
  • The reduced propagator
  • Master equation
  • Brownian motion and dephasing
  • The open question
  • Quantum chaos in extended systems: Spreading wave packets and avoided band crossings
  • Introduction
  • Avoided band crossings
  • Modeling avoided band crossings.

Ejemplares similares