Spectral localization for quantum Hamiltonians with weak random delta interaction

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F18%3A50014838" target="_blank" >RIV/62690094:18470/18:50014838 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.crma.2018.04.023" target="_blank" >http://dx.doi.org/10.1016/j.crma.2018.04.023</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.crma.2018.04.023" target="_blank" >10.1016/j.crma.2018.04.023</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Spectral localization for quantum Hamiltonians with weak random delta interaction

Popis výsledku v původním jazyce

We consider a negative Laplacian in multi-dimensional Euclidean space (or a multi-dimensional layer) with a weak disorder random perturbation. The perturbation consists of a sum of lattice translates of a delta interaction supported on a compact manifold of co-dimension one and modulated by coupling constants, which are independent identically distributed random variables times a small disorder parameter. We establish that the spectrum of the considered operator is almost surely a fixed set, characterize its minimum, give an initial length scale estimate and the Wegner estimate, and conclude that there is a small zone of a pure point spectrum containing the almost sure spectral bottom. The length of this zone is proportional to the small disorder parameter. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

Název v anglickém jazyce

Spectral localization for quantum Hamiltonians with weak random delta interaction

Popis výsledku anglicky

We consider a negative Laplacian in multi-dimensional Euclidean space (or a multi-dimensional layer) with a weak disorder random perturbation. The perturbation consists of a sum of lattice translates of a delta interaction supported on a compact manifold of co-dimension one and modulated by coupling constants, which are independent identically distributed random variables times a small disorder parameter. We establish that the spectrum of the considered operator is almost surely a fixed set, characterize its minimum, give an initial length scale estimate and the Wegner estimate, and conclude that there is a small zone of a pure point spectrum containing the almost sure spectral bottom. The length of this zone is proportional to the small disorder parameter. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

COMPTES RENDUS MATHEMATIQUE

ISSN

1631-073X

e-ISSN

—

Svazek periodika

356

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

FR - Francouzská republika

Počet stran výsledku

6

Strana od-do

686-691

Kód UT WoS článku

000433239800016

EID výsledku v databázi Scopus

—