Name: Analysis of certain random operators related to solid state physics (en Inglés)
Price: 1362.02 MXN
Availability: InStock
Author: Drabkin, Maxim
ISBN: 9783838152578

portada Analysis of certain random operators related to solid state physics (en Inglés)

Analysis of certain random operators related to solid state physics (en Inglés)

Formato

Libro Físico

Autor

Maxim Drabkin

Editorial

Sudwestdeutscher Verlag Fur Hochschulschrifte

Idioma

Inglés

N° páginas

116

Encuadernación

Tapa Blanda

Dimensiones

22.9 x 15.2 x 0.7 cm

Peso

0.18 kg.

ISBN13

9783838152578

Categorías

Probabilidad y estadística

Analysis of certain random operators related to solid state physics (en Inglés)

Maxim Drabkin (Autor) · Sudwestdeutscher Verlag Fur Hochschulschrifte · Tapa Blanda

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Reseña del libro "Analysis of certain random operators related to solid state physics (en Inglés)"

The presented book is about the random Kronig-Penney model and other related quantum mechanical models. The main objects in consideration are random mostly one dimensional and discrete Schrödinger operators and their spectral properties. From the physical point of view the most interesting objects in these models are conductivity and charge transport in disordered solid media. These show different behavior than the ordered systems. For the Kronig-Penney model lower bounds on the growth of the time-averaged q-th moment of the position operator X are obtained, as well as the perturbative analysis of the Lyapunov exponent and the integrated density of states. On the technical level the theory of the products of random matrices is used. It is known, that the products of random matrices exhibit Gaussian fluctuations around almost surely convergent Lyapunov exponents. For the 2x2 matrices the variance is calculated perturbatively. Furthermore for the random Bogoliubov-de Gennes model operators the localization in the spectral gap is proven.