Results 41 to 50 of about 1,361,395 (332)
Fractional integral associated with the Schrödinger operators on variable exponent space
Electronic Research Archive, 2023 Let $ \mathcal{L} = -\Delta+V $ be the Schrödinger operators on $ \mathbb{R}^n $ with nonnegative potential $ V $ belonging to the reverse Hölder class $ RH_q $ for some $ q \geq \frac{n}{2} $.
Huali Wang, Ping Li
doaj +1 more source
Euclidean operator radius inequalities of $d$-tuple operators and operator matrices [PDF]
arXiv, 2023 In this paper, we develop several Euclidean operator radius inequalities of $d$-tuple operators, as well as the sum and the product of $d$-tuple operators. Also, we obtain a power inequality for the Euclidean operator radius. Further, we develop Euclidean operator radius inequalities of $2\times 2$ operator matrices whose entries are $d$-tuple ...
arxiv
Strong Coupling Asymptotics for a Singular Schrödinger Operator with an Interaction Supported by an Open Arc [PDF]
, 2012 We consider a singular Schrödinger operator in L 2(ℝ2) written formally as − Δ − βδ(x − γ) where γ is a C 4 smooth open arc in ℝ2 of length L with regular ends.
Pavel Exner, Konstantin Pankrashkin
semanticscholar +1 more source
The Boundedness of Marcinkiewicz Integrals Associated with Schrödinger Operator on Morrey Spaces
Journal of Function Spaces, 2014 Let L=-Δ+V be a Schrödinger operator, where V belongs to some reverse Hölder class. The authors establish the boundedness of Marcinkiewicz integrals associated with Schrödinger operators and their commutators on Morrey spaces.
Dongxiang Chen, Fangting Jin
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The quantum Arnold transformation [PDF]
, 2010 By a quantum version of the Arnold transformation of classical mechanics, all quantum dynamical systems whose classical equations of motion are non-homogeneous linear second-order ordinary differential equations, including systems with friction linear in
Aldaya, Victor +3 more
core +1 more source
On the Definition of Chirality and Enantioselective Fields
Israel Journal of Chemistry, Volume 62, Issue 11-12, December 2022., 2022 Abstract In solid state physics, any symmetry breaking is known to be associated with emergence of an order parameter. However, the order parameter for molecular and crystal chirality, which is a consequence of parity and mirror symmetry breaking, has not been known since its discovery.
Jun‐ichiro Kishine +2 more
wiley +1 more source
Wannier functions and discrete NLS equations for nematicons
Mathematics in Engineering, 2019 We derive nonlocal discrete nonlinear Schrödinger (DNLS) equations for laser beam propagation in optical waveguide arrays that use a nematic liquid crystal substrate.
José Antonio Vélez-Pérez +1 more
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A note on the discrete Schrödinger operator with a perturbed periodic potential [PDF]
Opuscula Mathematica, 2010 The aim of this paper is to study the spectrum of the one-dimensional discrete Schrödinger operator with a perturbed periodic potential. We obtain natural conditions under which this perturbation preserves the essential spectrum of the considered ...
Beata Strack
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Green functions on product networks [PDF]
, 2018 We aim here at determining the Green function for general Schrödinger operators on product networks. The first step consists in expressing Schrödinger operators on a product network as sum of appropriate Schrödinger operators on each factor network ...
Arauz Lombardía, Cristina +3 more
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Subharmonic functions in scattering theory
Comptes Rendus. Mathématique, 2021 We present a method that uses the properties of subharmonic functions to control spatial asymptotics of Green’s kernel of multidimensional Schrödinger operator with rough potential.
Denisov, Sergey A.
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