RECORD
Boundary contributions to the semiclassical traces of the baker's map
chao-dyn · Submitted 5 Mar 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Besides the usual Gutzwiller periodic orbit contribution, we identify boundary paths giving rise to anomalous log(hbar) terms.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
We evaluate the leading asymptotic contributions to the traces of the quantum baker's map propagator. Besides the usual Gutzwiller periodic orbit contribution, we identify boundary paths giving rise to anomalous log(hbar) terms. Some examples of these anomalous terms are calculated both numerically and analytically.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We evaluate the leading asymptotic contributions to the traces of the quantum baker's map propagator. | contribution 0.98 | 0.95 | 0.13 | asserted 0.99 |
| s1 | Besides the usual Gutzwiller periodic orbit contribution, we identify boundary paths giving rise to anomalous log(hbar) terms. | result 0.77 | 0.94 | 0.65 | asserted 1.00 |
| s2 | Some examples of these anomalous terms are calculated both numerically and analytically. | method 0.70 | 0.94 | 0.12 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We evaluate the leading asymptotic contributions to the traces of the quantum baker's map propagator. Besides the usual Gutzwiller periodic orbit contribution, we identify boundary paths giving rise to anomalous log(hbar) terms. Some examples of these anomalous terms are calculated both numerically and analytically.
Human review
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.