Results 101 to 110 of about 112,078 (333)
The reaction of V atoms and small clusters with dinitrogen has been investigated by matrix‐isolation in solid Ne and by complementary quantum‐chemical calculations. The experiments disclose striking differences between the reactivity of V atoms, dimers, and trimers towards dinitrogen. Whereas V atoms react only by formation of complexes, both V2 and V3
Olaf Hübner, Hans-Jörg Himmel
wiley +1 more source
A boundary value problem for the wave equation
Traditionally, boundary value problems have been studied for elliptic differential equations. The mathematical systems described in these cases turn out to be “well posed”. However, it is also important, both mathematically and physically, to investigate
Nezam Iraniparast
doaj +1 more source
The boundary‐regulated distributed parameter system of an axial dispersion tubular reactor with delayed recycle is showcased, along with the optimal observer‐based control strategy developed using a late‐lumping method for its stabilization. Abstract The optimal control of an axial tubular reactor with a recycle stream is addressed as a key type of ...
Behrad Moadeli+2 more
wiley +1 more source
Analysis of density matrix embedding theory around the non‐interacting limit
Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès+4 more
wiley +1 more source
Ground State for the Schrödinger Operator with the Weighted Hardy Potential
We establish the existence of ground states on ℝ𝑁 for the Laplace operator involving the Hardy-type potential. This gives rise to the existence of the principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We also obtain a
J. Chabrowski, K. Tintarev
doaj +1 more source
The eigenfunction approach used for discrete symmetries is deduced from the concept of quantum numbers. We show that the irreducible representations (irreps) associated with the eigenfunctions are indeed a shorthand notation for the set of eigenvalues of
R. Lemus
semanticscholar +1 more source
On the Weak Localization Principle of the Eigenfunction Expansions of the Laplace-Beltrami Operator by Riesz Method [PDF]
In this paper we deal with the problems of the weak localization of the eigenfunction expansions related to Laplace-Beltrami operator on unit sphere. The conditions for weak localization of Fourier-Laplace series are investigated by comparing the Riesz ...
Ahmedov, Anvarjon+1 more
core +1 more source
A Comparison Theorem for Eigenfunctions [PDF]
A comparison theorem of Sturm's type is obtained for eigenfunctions of general linear elliptic partial differential operators of second order on bounded domains of n-dimensional Euclidean space. The proof is almost immediate from an earlier identity of the author. The theorem is shown to be stronger than some recent theorems of Kurt Kreith.
openaire +1 more source
Stock Return Prediction Based on a Functional Capital Asset Pricing Model
ABSTRACT The capital asset pricing model (CAPM) is readily used to capture a linear relationship between the daily returns of an asset and a market index. We extend this model to an intraday high‐frequency setting by proposing a functional CAPM estimation approach.
Ufuk Beyaztas+3 more
wiley +1 more source
One Radius Theorem For A Radial Eigenfunction Of A Hyperbolic Laplacian [PDF]
Let us fix two different radial eigenfunctions of a hyperbolic Laplacian and assume that both of them have the same value at the origin. Both eigenvalues can be complex numbers. The main goal of this paper is to estimate the lower bound for the interval (0,T], where these two eigenfunctions must assume different values at every point. We shall see that
arxiv