Results 1 to 10 of about 2,056,373 (227)

On integral representation of thetranslation operator [PDF]

Mathematical Modelling and Analysis, 2012
The formulation in the explicit form of quantum expression of the one-dimensional translation operator as well as Hermitian operator of momentum and its eigenfunctions are presented.
Paulius Miškinis
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A New Translation Operator by Covariant Derivative in the Generalized Space

Advances in Mathematical Physics
In this paper, we substituted the ordinary derivative with the covariant derivative in simple translation, that is built by applying the ordinary derivative and we investigate the new display of the simple translation.
Mehdi Jafari Matehkolaee, Houshyar Noshad   +1 more
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GENERALIZATION OF TITCHMARSH’ S THEOREM FOR THE FIRST HANKEL-CLIFFORD TRANSFORM IN THE SPACE 𝑳(^𝑷 _𝝁) ((𝟎, + ∞))

Проблемы анализа, 2022
Using a generalized translation operator, we intend to establish generalizations of the Titchmarsh theorem ( [14], theorem 84) for the first Hankel-Clifford transform for certain classes of functions in the space 𝐿(^𝑝 _𝜇) ((0, + ∞)), where 1 < 𝑝 ⩽ 2.
M. El Hamma, A. Mahfoud
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Equivalence of K-functionals and modulus of smoothness generated by a Dunkl type operator on the interval $(-1, 1)$

Comptes Rendus. Mathématique, 2023
Our aim in this paper is to show that the modulus of smoothness and the $K$-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval $(-1,1)$.
Saadi, Faouaz, Daher, Radouan
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General Euler-Poisson-Darboux Equation and Hyperbolic B-Potentials

Современная математика: Фундаментальные направления, 2019
In this work, we develop the theory of hyperbolic equations with Bessel operators. We construct and invert hyperbolic potentials generated by multidimensional generalized translation. Chapter 1 contains necessary notation, definitions, auxiliary facts and
E L Shishkina
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A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces

Open Mathematics, 2021
In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
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Non-Markovian dynamics under time-translation symmetry

Physical Review Research, 2022
A dynamical symmetry is employed to determine the structure of the quantum non-Markovian time-local master equation. Such a structure is composed from two components: scalar kinetic coefficients and the standard quantum Markovian operator form.
Roie Dann, Nina Megier, Ronnie Kosloff
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Quantum Mechanics and Quantum Field Theory: Algebraic and Geometric Approaches

Universe, 2023
This is a non-standard exposition of the main notions of quantum mechanics and quantum field theory, including recent results. It is based on the algebraic approach in which the starting point is a star-algebra and on the geometric approach in which the ...
Igor Frolov, Albert Schwarz
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GENERALIZATION OF TITCHMARSH'S THEOREM FOR THE GENERALIZED FOURIER-BESSEL TRANSFORM [PDF]

International Journal of Mathematical Modelling & Computations, 2016
In this paper, using a generalized translation operator, we prove theestimates for the generalized Fourier-Bessel transform in the space L2 on certainclasses of functions.
S. El ouadih, R. Daher, M. El hamma
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Bessel Transform of -Bessel Lipschitz Functions

Journal of Mathematics, 2013
Using a generalized translation operator, we obtain an analog of Theorem 5.2 in Younis (1986) for the Bessel transform for functions satisfying the -Bessel Lipschitz condition in .
Radouan Daher, Mohamed El Hamma
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