Results 1 to 10 of about 103,519 (218)

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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Self-adjoint boundary-value problems on time-scales [PDF]

Electronic Journal of Differential Equations, 2007
In this paper we consider a second order, Sturm-Liouville-type boundary-value operator of the form $$ L u := -[p u^{ abla}]^{Delta} + qu, $$ on an arbitrary, bounded time-scale $mathbb{T}$, for suitable functions $p,q$, together with suitable ...
Bryan P. Rynne, Fordyce A. Davidson
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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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Dilatations of Linear Operators

Современная математика: Фундаментальные направления, 2020
The article is devoted to building various dilatations of linear operators. The explicit construction of a unitary dilation of a compression operator is considered.
Yu. L. Kudryashov
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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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