Results 51 to 60 of about 71,879 (309)
Discrete Quantum Mechanics [PDF]
, 2011 A comprehensive review of the discrete quantum mechanics with the pure imaginary shifts and the real shifts is presented in parallel with the corresponding results in the ordinary quantum mechanics.
Odake, Satoru, Sasaki, Ryu
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Colossal Cryogenic Electro‐Optic Response Through Metastability in Strained BaTiO3 Thin Films
Advanced Materials, EarlyView.Utilizing the thermodynamic theory of optical properties, a colossal cryogenic electro‐optic response in BaTiO3 thin films is designed and demonstrated by stabilizing a low symmetry metastable monoclinic phase via epitaxial strain tuning with an electro‐optic response reaching ≈2516 pm V−1 at 5 K. This approach represents a new paradigm for engineering
Albert Suceava +16 more
wiley +1 more source
Advanced Optical Materials, EarlyView.A simple and efficient method for determining the stability of optical vortices via Fourier transform using a conventional spherical lens is presented. The theoretical and experimental results demonstrate a practical approach to directly and unambiguously measure the magnitude and sign of the topological charge of a beam without altering an ...
Elena Melnikova +5 more
wiley +1 more source
New Characterizations of Discrete Classical Orthogonal Polynomials
Journal of Approximation Theory, 1997 In this very nice paper, the authors consider (quasi)orthogonal polynomial sequences [\((Q)OPS\): see (i)] with respect to a regular moment functional \(\sigma\) [see (ii)]. (i) \(\{P_n\}_{n=0}^{\infty}\) polynomials in \(x\) with degree \(P_n=n,\;n\geq 0\) form a \(QOPS\) resp. \(OPS\) if \(\langle \sigma,P_nP_m\rangle = K_n\delta_{nm}\) with \(K_n\in{
Kwon, KH Kwon, Kil Hyun +2 more
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A Discrete Approach to Monotonicity of Zeros of Orthogonal Polynomials [PDF]
Transactions of the American Mathematical Society, 1991 We study the monotonicity with respect to a parameter of zeros of orthogonal polynomials. Our method uses the tridiagonal (Jacobi) matrices arising from the three-term recurrence relation for the polynomials. We obtain new results on monotonicity of zeros of associated Laguerre, Al-Salam-Carlitz, Meixner and Pollaczek polynomials.
Martin E. Muldoon, Mourad E. H. Ismail
openaire +2 more sources
Fractal Divergences of Generalized Jacobi Polynomials
Mathematics, 2023 The notion of entropy (including macro state entropy and information entropy) is used, among others, to define the fractal dimension. Rényi entropy constitutes the basis for the generalized correlation dimension of multifractals.
Răzvan-Cornel Sfetcu, Vasile Preda
doaj +1 more source
$q$-Classical orthogonal polynomials: A general difference calculus approach
, 2009 It is well known that the classical families of orthogonal polynomials are characterized as eigenfunctions of a second order linear differential/difference operator.
A.F. Nikiforov +26 more
core +4 more sources
Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
wiley +1 more source
پژوهشهای ریاضی, 2020 Introduction Despite wide applications of constant order fractional derivatives, some systems require the use of derivatives whose order changes with respect to other parameters.
Farideh Salehi +2 more
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Mathematical Modelling and Analysis, 2020 In the present paper we consider discrete versions of the modified projection methods for solving a Urysohn integral equation with a kernel of the type of Green’s function.
Rekha P. Kulkarni, Gobinda Rakshit
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