Results 101 to 110 of about 1,361,395 (332)
Generalised Dirac-Schrödinger operators and the Callias Theorem
Forum of Mathematics, SigmaWe consider generalised Dirac-Schrödinger operators, consisting of a self-adjoint elliptic first-order differential operator $\mathcal {D}$ with a skew-adjoint ‘potential’ given by a (suitable) family of unbounded operators.
Koen van den Dungen
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An application to Kato's square root problem
International Journal of Mathematics and Mathematical Sciences, 2002 We find all complex potentials Q such that the general Schrödinger operator on ℝn, given by L=−Δ+Q, where Δ is the Laplace differential operator, verifies the well-known Kato's square problem. As an application, we will consider the case where Q∈Lloc1(Ω)
Toka Diagana
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The Hopf Lemma for the Schrödinger Operator
Advanced Nonlinear Studies, 2020 We prove the Hopf boundary point lemma for solutions of the Dirichlet problem involving the Schrödinger operator -Δ+V{-\Delta+V} with a nonnegative potential V which merely belongs to Lloc1(Ω){L_{\mathrm{loc}}^{1}(\Omega)}. More precisely, if u∈W01,2(Ω)
Ponce Augusto C., Wilmet Nicolas
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Quantifications of strictly singular operators and strictly cosingular operators [PDF]
arXiv, 2016 We investigate possible quantifications of strictly singular operators, $l_{p}$-strictly singular operators, $c_{0}$-strictly singular operators, strictly cosingular operators, $l_{p}$-strictly cosingular operators. We prove quantitative, even strengthening versions of well-known results about relationships of these five classes of operators and ...
arxiv
An Update: Enzymatic Synthesis for Industrial Applications
Angewandte Chemie International Edition, Accepted Article.Supported by rapid technological advancements, biocatalytic applications have matured into a sustainable, scalable, and cost‐competitive alternatives to established chemical catalysis. This review presents the most recent examples of enzyme‐based solutions for the manufacturing of molecules with extended carbon‐carbon frameworks and multiple ...
Thomas Bayer +4 more
wiley +1 more source
k-bitransitive and compound operators on Banach spaces [PDF]
arXiv, 2015 In this this paper, we introduce new classes of operators in complex Banach spaces, which we call k-bitransitive operators and compound operators to study the direct sum of diskcyclic operators. We create a set of sufficient conditions for k-bitransitivity and compound. We show the relation between topologically mixing operators and compound operators.
arxiv
Unifying the theory of Integration within normal-, Weyl- and antinormal-ordering of operators and the s--ordered operator expansion formula of density operators [PDF]
, 2009 By introducing the s-parameterized generalized Wigner operator into phase-space quantum mechanics we invent the technique of integration within s-ordered product of operators (which considers normal ordered, antinormally ordered and Weyl ordered product of operators as its special cases). The s-ordered operator expansion formula of density operators is
arxiv +1 more source
Designer Fluorescent Redoxmer Self‐Reports Side Reactions in Nonaqueous Redox Flow Batteries
Batteries &Supercaps, EarlyView.A dimeric redoxmer, DGL‐N‐CH3, containing two 2,1,3‐benzothiadiazole units, provides ample opportunity for monitoring for nonaqueous flow batteries. Combined spectroscopic and electrochemical analyses revealed a degradation product, NHCH3‐BzNSN, with a unique optical signature (orange fluorescence) distinct from DGL‐N‐CH3 (blue‐green).
Lily A. Robertson +8 more
wiley +1 more source
Berichte zur Wissenschaftsgeschichte, EarlyView.Abstract Short‐lived, unobservable, and not subject to the usual rules of conservation of energy and momentum, virtual particles—an integral part of the conceptual framework of quantum field theory (QFT)—exhibit a number of curious characteristics which, in recent decades, have in part fueled important discussions about their ontological status ...
Jean‐Philippe Martinez
wiley +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2015 An error in Lemma 1.5 in "Weighted $L^p$ estimates for the elliptic Schrödinger operator" [Electron. J. Qual. Theory Differ. Equ. 33(2014) 1-13] is corrected.
Fengping Yao
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