Pith. sign in

REVIEW

The Accuracy of Semiclassical Quantization for Integrable Systems

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv chao-dyn/9905037 v1 pith:5TTHPKJW submitted 1999-05-24 chao-dyn nlin.CD

classification chao-dynnlin.CD
keywords semiclassicalapproximationbilliardcalculatedeigenvaluesenergyfoundintegrable
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

The eigenvalues of the Hyperspherical billiard are calculated in the semiclassical approximation. The eigenvalues where this approximation fails are identified and found to be related to caustics that approach the wall of the billiard. The fraction of energy levels for which the semiclassical error is larger than some given value is calculated analytically (and tested numerically) and found to be independent of energy. The implications for other systems, in particular integrable ones, are discussed.

Discussion (0). Sign in to comment.

Pith tools