Analysis of certain random operators related to solid state physics

Name: Analysis of certain random operators related to solid state physics
Brand: Sudwestdeutscher Verlag Fur Hochschulschriften AG
SKU: 9783838152578
Price: 282.24 RON
Availability: InStock

Autor: Maxim Drabkin

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Editura: Sudwestdeutscher Verlag Fur Hochschulschriften AG

Disponibilitate: În depozitul extern

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282.24 lei

The presented book is about the random Kronig-Penney model and other related quantum mechanical mode...

Informații despre carte

Autor

Maxim Drabkin

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2016

Pagini

116

EAN

9783838152578

Enbook ID

13504523

Editura

Sudwestdeutscher Verlag Fur Hochschulschriften AG

Greutate

181

Dimensiuni

152 x 229 x 7

Descriere completă

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.

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Analysis of certain random operators related to solid state physics

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