NEW SPECTRAL STATISTICS FOR ENSEMBLES OF 2 × 2 REAL SYMMETRIC RANDOM MATRICES
dc.contributor.author | Kumar , Sachin | |
dc.date.accessioned | 2018-01-18T08:11:19Z | |
dc.date.available | 2018-01-18T08:11:19Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | Acta Polytechnica. 2017, vol. 57, no. 6, p. 418-423. | |
dc.identifier.issn | 1210-2709 (print) | |
dc.identifier.issn | 1805-2363 (online) | |
dc.identifier.uri | http://hdl.handle.net/10467/73718 | |
dc.description.abstract | We investigate spacing statistics for ensembles of various real random matrices where the matrix-elements have various Probability Distribution Function (PDF: f(x)) including Gaussian. For two modifications of 2 × 2 matrices with various PDFs, we derive the spacing distributions p(s) of adjacent energy eigenvalues. Nevertheless, they show the linear level repulsion near s = 0 as αs where α depends on the choice of the PDF. More interestingly when f(x) = xe−x2 (f(0) = 0), we get cubic level repulsion near s = 0: p(s) ~ s3e−s2.We also derive the distribution of eigenvalues D(ε) for these matrices. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | České vysoké učení technické v Praze | cs |
dc.publisher | Czech Technical University in Prague | en |
dc.relation.ispartofseries | Acta Polytechnica | |
dc.relation.uri | https://ojs.cvut.cz/ojs/index.php/ap/article/view/4481 | |
dc.rights | Creative Commons Attribution 4.0 International License | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | real symmetric matrices | en |
dc.subject | Wigner surmise | en |
dc.title | NEW SPECTRAL STATISTICS FOR ENSEMBLES OF 2 × 2 REAL SYMMETRIC RANDOM MATRICES | |
dc.type | article | en |
dc.date.updated | 2018-01-18T08:11:19Z | |
dc.identifier.doi | 10.14311/AP.2017.57.0418 | |
dc.rights.access | openAccess | |
dc.type.status | Peer-reviewed | |
dc.type.version | publishedVersion |
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