Zobrazeno 1 - 10
of 483
pro vyhledávání: '"81Q15"'
Autor:
Gross, Leonard
A Schr\"odinger operator that is bounded below and has a unique positive ground state can be transformed into a Dirichlet form operator by the ground state transformation. If the resulting Dirichlet form operator is hypercontractive, Davies and Simon
Externí odkaz:
http://arxiv.org/abs/2412.20282
Autor:
Kondej, Sylwia, Ślipko, Kacper
Publikováno v:
J. Phys. A: Math. Theor. 57 2024 465205
In this paper we consider two dimensional quantum system with an infinite waveguide of the width $d$ and a transversally invariant profile. Furthermore, we assume that at a distant $\rho$ there is a perturbation defined by the Kato measure. We show t
Externí odkaz:
http://arxiv.org/abs/2412.12011
Autor:
Cornean, Horia D., Purice, Radu
We continue the study of the perturbation problem discussed in \cite{CP3} and get rid of the 'slow variation' assumption by considering symbols of the form $a\big(x+\delta\,F(x),\xi\big)$ with $a$ a real H\"{o}rmander symbol of class $S^0_{0,0}(\math
Externí odkaz:
http://arxiv.org/abs/2411.14824
We consider periodic (pseudo)differential {elliptic operators of Schr\"odinger type} perturbed by weak magnetic fields not vanishing at infinity, and extend our previous analysis in \cite{CIP,CHP-2,CHP-4} to the case {of a semimetal having a finite f
Externí odkaz:
http://arxiv.org/abs/2411.14171
We characterise regions in the complex plane that contain all non-embedded eigenvalues of a perturbed periodic Dirac operator on the real line with real-valued periodic potential and a generally non-symmetric matrix-valued perturbation V . We show th
Externí odkaz:
http://arxiv.org/abs/2410.12467
Autor:
Henheik, Joscha, Wessel, Tom
We introduce a notion of a \emph{local gap} for interacting many-body quantum lattice systems and prove the validity of response theory and Kubo's formula for localized perturbations in such settings. On a high level, our result shows that the usual
Externí odkaz:
http://arxiv.org/abs/2410.10809
Autor:
Baur, Matthias
We compute asymptotic expansions for the negative eigenvalues of the Pauli operator in two dimensions perturbed by a weakly coupled potential with definite sign. Whereas previous results were limited to the case of radial magnetic fields and potentia
Externí odkaz:
http://arxiv.org/abs/2409.17787
Autor:
Vladimirov, Igor G., Petersen, Ian R.
This paper is concerned with open quantum harmonic oscillators with position-momentum system variables, whose internal dynamics and interaction with the environment are governed by linear quantum stochastic differential equations. A recently proposed
Externí odkaz:
http://arxiv.org/abs/2409.15720
Autor:
Das, Soma, Sarkar, Jaydeb
We represent closed subspaces of the Hardy space that are invariant under finite-rank perturbations of the backward shift. We apply this to classify almost invariant subspaces of the backward shift and represent a more refined version of nearly invar
Externí odkaz:
http://arxiv.org/abs/2407.17352
In the present paper, motivated by point interaction, we propose a new and explicit approach to inverse Sturm-Liouville eigenvalue problems under Dirichlet boundary. More precisely, when a given Sturm-Liouville eigenvalue problem with the unknown int
Externí odkaz:
http://arxiv.org/abs/2407.17223