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pro vyhledávání: '"Shirley, Christopher"'
Autor:
Duerinckx, Mitia, Shirley, Christopher
This work is devoted to several translation-invariant models in non-relativistic quantum field theory (QFT), describing a non-relativistic quantum particle interacting with a quantized relativistic field of bosons. In this setting, we aim at the rigo
Externí odkaz:
http://arxiv.org/abs/2204.00557
Autor:
Duerinckx, Mitia, Shirley, Christopher
Motivated by the long-time transport properties of quantum waves in weakly disordered media, the present work puts random Schr\"odinger operators into a new spectral perspective. Based on a stationary random version of a Floquet type fibration, we re
Externí odkaz:
http://arxiv.org/abs/2004.12025
Publikováno v:
Communications in Mathematical Physics, Springer Verlag, 2021, 383 (2), pp.633-683
We study the long-time behavior of the Schr{\"o}dinger flow in a heterogeneous potential $\lambda$V with small intensity 0<$\lambda$$\ll$1 (or alternatively at high frequencies). The main new ingredient, which we introduce in the general setting of a
Externí odkaz:
http://arxiv.org/abs/1809.07106
Autor:
Shirley, Christopher
Dans cette thèse, nous allons prouver des estimations de décorrelation des valeurs propres pour plusieurs modèles d'opérateurs de Schrödinger aléatoires en dimension un, dans le régime localisé, tant que nous avons des estimations de Wegner.
Externí odkaz:
http://www.theses.fr/2014PA066434/document
Autor:
Shirley, Christopher
Publikováno v:
Criticism, 2021 Jan 01. 63(1-2), 107-120.
Externí odkaz:
https://www.jstor.org/stable/10.13110/criticism.63.1-2.0107
Autor:
Shirley, Christopher
The purpose of the present work is to establish decorrelation estimates at distinct energies for some random Schr{\"o}dinger operator in dimension one. In particular, we establish the result for some random operators on the continuum with alloy-type
Externí odkaz:
http://arxiv.org/abs/1505.06112
Autor:
Shirley, Christopher
The purpose of the present work is to establish decorrelation estimates at distinct energies for some random Schr\"odinger operator in dimension one. In particular, we establish the result for some random operators on the continuum with alloy-type po
Externí odkaz:
http://arxiv.org/abs/1409.8376
Autor:
Shirley, Christopher
The purpose of the present work is to establish decorrelation estimates for some random discrete Schrodinger operator in dimension one. We prove that the Minami estimates are consequences of the Wegner estimates and Localization. We also prove decorr
Externí odkaz:
http://arxiv.org/abs/1311.6036
Autor:
Shirley, Christopher
Publikováno v:
In Journal of Differential Equations 5 November 2017 263(9):5987-6024
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