Quantum Ergodicity and Delocalization of Schrödinger Eigenfunctions
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| Title: | Quantum Ergodicity and Delocalization of Schrödinger Eigenfunctions |
|---|---|
| Description: | This book deals with various topics in quantum chaos, starting with a historical introduction and then focussing on the delocalisation of eigenfunctions of Schrödinger operators for chaotic Hamiltonian systems. It contains a short introduction to microlocal analysis, necessary for proving the Shnirelman theorem and giving an account of the author‘s work on entropy of eigenfunctions on negatively curved manifolds. In addition, further work by the author on quantum ergodicity of eigenfunctions on large graphs is presented, along with a survey of results on eigenfunctions on the round sphere, as well as a rather detailed exposition of the result by Backhausz and Szegedy on the Gaussian distribution of eigenfunctions on random regular graphs. Like the lecture series it is based on, the text is aimed at all mathematicians, from the graduate level onwards, who want to learn some of the important ideas in the field. |
| Authors: | Nalini Anantharaman |
| Resource Type: | eBook. |
| Categories: | MATHEMATICS / Calculus, MATHEMATICS / Probability & Statistics / General, MATHEMATICS / Mathematical Analysis |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Quantum Ergodicity and Delocalization of Schrödinger Eigenfunctions – Name: Abstract Label: Description Group: Ab Data: This book deals with various topics in quantum chaos, starting with a historical introduction and then focussing on the delocalisation of eigenfunctions of Schrödinger operators for chaotic Hamiltonian systems. It contains a short introduction to microlocal analysis, necessary for proving the Shnirelman theorem and giving an account of the author‘s work on entropy of eigenfunctions on negatively curved manifolds. In addition, further work by the author on quantum ergodicity of eigenfunctions on large graphs is presented, along with a survey of results on eigenfunctions on the round sphere, as well as a rather detailed exposition of the result by Backhausz and Szegedy on the Gaussian distribution of eigenfunctions on random regular graphs. Like the lecture series it is based on, the text is aimed at all mathematicians, from the graduate level onwards, who want to learn some of the important ideas in the field. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Nalini+Anantharaman%22">Nalini Anantharaman</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Calculus%22">MATHEMATICS / Calculus</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Probability+%26+Statistics+%2F+General%22">MATHEMATICS / Probability & Statistics / General</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Mathematical+Analysis%22">MATHEMATICS / Mathematical Analysis</searchLink> |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=3808248 |
| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English Titles: – TitleFull: Quantum Ergodicity and Delocalization of Schrödinger Eigenfunctions Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Nalini Anantharaman – PersonEntity: Name: NameFull: Nalini Anantharaman IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2022 Identifiers: – Type: isbn-print Value: 9783985470150 – Type: isbn-electronic Value: 9783985475155 Titles: – TitleFull: Quantum Ergodicity and Delocalization of Schrödinger Eigenfunctions Type: main |
| ResultId | 1 |
