Emergence of Quantum Ergodicity in Rough Billiards
classification
❄️ cond-mat
keywords
billiardsergodicityroughanalyticalbanddiscussedeigenstateseigenvalue
read the original abstract
By analytical mapping of the eigenvalue problem in rough billiards on to a band random matrix model a new regime of Wigner ergodicity is found. There the eigenstates are extended over the whole energy surface but have a strongly peaked structure. The results of numerical simulations and implications for level statistics are also discussed.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.