The DOI matches its Crossref record.
Quantum Chaos: An Introduction
Abstract
This book introduces the quantum mechanics of classically chaotic systems, or quantum chaos for short. The author's philosophy has been to keep the discussion simple and to illustrate theory, wherever possible, with experimental or numerical examples. The microwave billiard experiments, initiated by the author and his group, play a major role in this respect. Topics covered include the various types of billiard experiment, random matrix theory, systems with periodic time dependences, the analogy between the dynamics of a one-dimensional gas with a repulsive interaction and spectral level dynamics, where an external parameter takes the role of time, scattering theory distributions and fluctuation, properties of scattering matrix elements, semiclassical quantum mechanics, periodic orbit theory, and the Gutzwiller trace formula. This book will be of great value to anyone working in quantum chaos.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
Ultrasonics without a Source: Thermal Fluctuation Correlations at MHz Frequencies
Weaver, R. L., & Lobkis, O. I. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.134301 · Cited by 668
Observation of a Dirac point in microwave experiments with a photonic crystal modeling graphene
Bittner, S., Dietz, B., Miski-Oglu, M., Oria Iriarte, P., Richter, A., & Schäfer, F. (2010) · Physical Review B · doi:10.1103/physrevb.82.014301 · Cited by 127
Bittner, S., Dietz, B., Miski-Oglu, M., & Richter, A. (2012) · Physical Review B · doi:10.1103/physrevb.85.064301 · Cited by 58
Realization of discrete quantum billiards in a two-dimensional optical lattice
Krimer, D. O., & Khomeriki, R. (2011) · Physical Review A · doi:10.1103/physreva.84.041807 · Cited by 35
Escape behavior of quantum two-particle systems with Coulomb interactions
Taniguchi, T., & Sawada, S.-I. (2011) · Physical Review E · doi:10.1103/physreve.83.026208 · Cited by 30
Metadata
- Authors
- Stöckmann, H.-J.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1999-10-13
- OpenAlex
- W4232454247
- Cited by
- 959
- References
- 0
- FWCI
- 1.62
- Type
- book
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Quantum Chaos: An Introduction. https://app.cochat.ai/papers/10.1017/cbo9780511524622
- The paper
- Stöckmann, H.-J. (1999). Quantum Chaos: An Introduction. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9780511524622
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
