책 이미지
eBook 미리보기
책 정보
· 제목 : Random Operators (Hardcover) (Disorder Effects on Quantum Spectra and Dynamics)
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9781470419134
· 쪽수 : 320쪽
· 출판일 : 2016-01-04
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 일반
· ISBN : 9781470419134
· 쪽수 : 320쪽
· 출판일 : 2016-01-04
목차
- Introduction
- General relations between spectra and dynamics
- Ergodic operators and their self-averaging properties
- Density of states bounds: Wegner estimate and Lifshitz tails
- The relation of Green functions to eigenfunctions
- Anderson localization through path expansions
- Dynamical localization and fractional moment criteria
- Fractional moments from an analytical perspective
- Strategies for mapping exponential decay
- Localization at high disorder and at extreme energies
- Constructive criteria for Anderson localization
- Complete localization in one dimension
- Diffusion hypothesis and the Green-Kubo-Streda formula
- Integer quantum Hall effect
- Resonant delocalization
- Phase diagrams for regular tree graphs
- The eigenvalue point process and a conjectured dichotomy
- Elements of spectral theory
- Herglotz-Pick functions and their spectra
- Bibliography
- Index
