Results 1 to 10 of about 2,806 (244)

Weak convergence of the finite element method for semilinear parabolic SPDEs driven by additive noise

Results in Applied Mathematics, 2023
This paper aims to investigate the finite element weak convergence rate for semilinear parabolic stochastic partial differential equations(SPDEs) driven by additive noise.
Antoine Tambue, Jean Daniel Mukam
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Singularly perturbed rank one linear operators

Математичні Студії, 2021
The basic principles of the theory of singularly perturbed self-adjoint operators are generalized to the case of closed linear operators with non-symmetric perturbation of rank one.
M.E. Dudkin, O. Yu. Dyuzhenkova
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Investigation of the Spectral Properties of a Non-Self-Adjoint Elliptic Differential Operator

International Journal of Mathematics and Mathematical Sciences, 2021
Non-self-adjoint operators have many applications, including quantum and heat equations. On the other hand, the study of these types of operators is more difficult than that of self-adjoint operators.
Arezoo Ghaedrahmati, Ali Sameripour
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Canonical quantization on the half-line and in an interval based upon an alternative concept for the momentum in a space with boundaries

Physical Review Research, 2021
For a particle moving on a half-line or in an interval the operator p[over ̂]=−i∂_{x} is not self-adjoint and thus does not qualify as the physical momentum. Consequently canonical quantization based on p[over ̂] fails.
M. H. Al-Hashimi, U.-J. Wiese
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ON REPRESENTATION OF ONE CLASS OF SCHMIDT OPERATORS

Вестник КазНУ. Серия математика, механика, информатика, 2021
In this paper, unitary symmetrizers are considered. It is well known that using Newton operatoralgorithm, similar to the usual Newton algorithm, for extracting the square root, one can provethat for every Hermitian operator T 0, there exists a unique ...
I. Orazov, A. A. Shaldanbaeva
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Alternative momentum concept for a quantum mechanical particle in a box

Physical Review Research, 2021
For a particle in a box, the operator p[over ̂]=−i∂_{x} is not self-adjoint. We provide an alternative construction of a momentum operator p[over ̂]_{R}+ip[over ̂]_{I}, which has two self-adjoint components p[over ̂]_{R} and p[over ̂]_{I}.
M. H. Al-Hashimi, U.-J. Wiese
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Sifat Transformasi Linier Isometri, Operator Simetris, dan Teorema Spektral

Jurnal Matematika UNAND, 2019
Isometri adalah suatu transformasi linier dari ruang hasilkali dalam ke ruang hasilkali dalam yang memenuhi beberapa aksioma. Operator linier pada ruang hasilkali dalam V ke V yang memenuhi T(v), w = v, T(w) , ∀v, w ∈ V , disebut operator self adjoint.
Lathifah Mudhiani, I Made Arnawa, Nova Noliza Bakar   +2 more
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On operators of transition in Krein spaces [PDF]

Opuscula Mathematica, 2011
The paper is devoted to investigation of operators of transition and the corresponding decompositions of Krein spaces. The obtained results are applied to the study of relationship between solutions of operator Riccati equations and properties of the ...
A. Grod, S. Kuzhel, V. Sudilovskaya
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A note on Berezin-Toeplitz quantization of the Laplace operator

Complex Manifolds, 2015
Given a Hodge manifold, it is introduced a self-adjoint operator on the space of endomorphisms of the global holomorphic sections of the polarization line bundle.
Vedova Alberto Della
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On spectral stability for rank one singular perturbations [PDF]

Opuscula Mathematica
We study the embedded point spectrum of rank one singular perturbations of an arbitrary self-adjoint operator \(A\) on a Hilbert space \(\mathcal{H}\). These perturbations can be regarded as self-adjoint extensions of a densely defined closed symmetric ...
Mario Alberto Ruiz Caballero, Rafael del Río   +1 more
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