A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds
Title | A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds PDF eBook |
Author | Yohann Le Floch |
Publisher | Springer |
Pages | 142 |
Release | 2018-09-19 |
Genre | Mathematics |
ISBN | 331994682X |
This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.
A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds
Title | A Brief Introduction to Berezin-Toeplitz Operators on Compact Kähler Manifolds PDF eBook |
Author | Yohann Le Floch |
Publisher | |
Pages | 140 |
Release | 2018 |
Genre | Kählerian manifolds |
ISBN | 9783319946832 |
This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.--
Toeplitz Operators on Kähler Manifolds
Title | Toeplitz Operators on Kähler Manifolds PDF eBook |
Author | Tatyana Barron |
Publisher | Springer |
Pages | 89 |
Release | 2018-07-24 |
Genre | Mathematics |
ISBN | 3319942921 |
The purpose of this Brief is to give a quick practical introduction into the subject of Toeplitz operators on Kähler manifolds, via examples, worked out carefully and in detail. Necessary background is included. Several theorems on asymptotics of Toeplitz operators are reviewed and illustrated by examples, including the case of tori and the 2-dimensional sphere. Applications in the context of multisymplectic and hyperkähler geometry are discussed. The book is suitable for graduate students, advanced undergraduate students, and any researchers.
Deformation Quantization of Compact Kähler Manifolds Via Berezin-Toeplitz Operators
Title | Deformation Quantization of Compact Kähler Manifolds Via Berezin-Toeplitz Operators PDF eBook |
Author | Martin Schlichenmaier |
Publisher | |
Pages | 2 |
Release | 1996 |
Genre | |
ISBN |
Berezin-Toeplitz Quantization and Berezin Symbols for Arbitrary Compact Kähler Manifolds
Title | Berezin-Toeplitz Quantization and Berezin Symbols for Arbitrary Compact Kähler Manifolds PDF eBook |
Author | Martin Schlichenmaier |
Publisher | |
Pages | 22 |
Release | 1999 |
Genre | |
ISBN |
Long Time Behaviour Of Classical And Quantum Systems - Proceedings Of The Bologna Aptex International Conference
Title | Long Time Behaviour Of Classical And Quantum Systems - Proceedings Of The Bologna Aptex International Conference PDF eBook |
Author | Sandro Graffi |
Publisher | World Scientific |
Pages | 299 |
Release | 2001-04-02 |
Genre | Science |
ISBN | 9814491535 |
This book is centered on the two minicourses conducted by C Liverani (Rome) and J Sjoestrand (Paris) on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis, respectively. The other contributions cover related topics of classical and quantum mechanics, such as scattering theory, classical and quantum statistical mechanics, dynamical localization, quantum chaos, ergodic theory and KAM techniques.
Long Time Behaviour of Classical and Quantum Systems
Title | Long Time Behaviour of Classical and Quantum Systems PDF eBook |
Author | Sandro Graffi |
Publisher | World Scientific |
Pages | 299 |
Release | 2001 |
Genre | Mathematics |
ISBN | 9810245556 |
This book is centered on the two minicourses conducted by C Liverani (Rome) and J Sjoestrand (Paris) on the return to equilibrium in classical statistical mechanics and the location of quantum resonances via semiclassical analysis, respectively. The other contributions cover related topics of classical and quantum mechanics, such as scattering theory, classical and quantum statistical mechanics, dynamical localization, quantum chaos, ergodic theory and KAM techniques.