| Description |
1 online resource |
| Series |
International School of Physics Enrico Fermi Ser. Vol. 143 |
|
International School of Physics Enrico Fermi Ser. ; vol. 143
|
| Contents |
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 |
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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 |
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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 |
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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 |
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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 |
| Summary |
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 statistics and their semiclassical interpretation in terms of the Gutzwiller trace formula, Quantum chaos and its applications in mesoscopic physics, Spectral statistics and conductance fluctuations and Quantum chaos in systems with many degrees of freedom. The book connects and continues past and present ac |
| Notes |
Print version record |
| Subject |
Quantum chaos -- Congresses
|
|
Quantum chaos
|
| Genre/Form |
Conference papers and proceedings
|
| Form |
Electronic book
|
| ISBN |
1299990568 |
|
9781299990562 |
|
9781614992288 |
|
1614992282 |
|
9781586030742 |
|
1586030744 |
|
