Results 71 to 80 of about 561,686 (251)
Digital Twin Simulations Toolbox of the Nitrogen‐Vacancy Center in Diamond
Advanced Quantum Technologies, EarlyView.The Nitrogen‐vacancy (NV) center in diamond is a key platform within quantum technologies. This work introduces a Python based digital‐twin of the NV, where the spin dynamics of the system is simulated without relying on commonly used approximations, such as the adoption of rotating frame. The digital‐twin is validated through three different examples,
Lucas Tsunaki +3 more
wiley +1 more source
Meta algebras and biorthogonal rational functions: The Hahn case
Forum of Mathematics, SigmaThe finite families of biorthogonal rational functions and orthogonal polynomials of Hahn type are interpreted algebraically in a unified way by considering the three-generated meta Hahn algebra and its finite-dimensional representations.
Satoshi Tsujimoto +2 more
doaj +1 more source
The su(2)α Hahn oscillator and a discrete Fourier-Hahn transform [PDF]
, 2011 We define the quadratic algebra su(2)(alpha) which is a one-parameter deformation of the Lie algebra su(2) extended by a parity operator. The odd-dimensional representations of su(2) (with representation label j, a positive integer) can be extended to ...
Jafarov, Elchin +2 more
core +3 more sources
On difference operators for symmetric Krall-Hahn polynomials [PDF]
Integral transforms and special functions, 2018 The problem of finding measures whose orthogonal polynomials are also eigenfunctions of higher-order difference operators have been recently solved by multiplying the classical discrete measures by suitable polynomials. This problem was raised by Richard
A. J. Durán, Manuel D. de la Iglesia
semanticscholar +1 more source
On Jacobi and continuous Hahn polynomials [PDF]
Proceedings of the American Mathematical Society, 1996 The inter-relation between the Jacobi polynomials and the continuous Hahn polynomials via the Fourier transform is exploited to deduce the orthogonality relation of the latter from that of the former and the use of Parseval's relation. This is an additional independent case of the proof of this important relation whereby the general theory of special ...
openaire +4 more sources
Acta Crystallographica Section D, EarlyView.Xtricorder is a tool for analysing crystallographic data, featuring a likelihood‐enhanced self‐rotation function and a novel `composite‐section diagram' thereof, which aids interpretation and enables a machine learning‐enhanced prediction of asymmetric unit content.Analysis of crystallographic diffraction data after collection and integration but ...
Airlie J. McCoy, Randy J. Read
wiley +1 more source
On 2-orthogonal polynomials of Laguerre type
International Journal of Mathematics and Mathematical Sciences, 1999 Let {Pn}n≥0 be a sequence of 2-orthogonal monic polynomials relative to linear functionals ω0 and ω1 (see Definition 1.1). Now, let {Qn}n≥0 be the sequence of polynomials defined by Qn:=(n+1)−1P′n+1,n≥0.
Khalfa Douak
doaj +1 more source
The Weyl algebra, spherical harmonics, and Hahn polynomials [PDF]
Banach Center Publications, 2002 13 pages, uses bcp01e ...
Gnatowska, Ewa, Strasburger, Aleksander
openaire +2 more sources
How Can Inflation Contracts Discipline Central Bankers When Agents Are Learning?
Bulletin of Economic Research, EarlyView.ABSTRACT This paper studies, in a new Keynesian model with a positive optimal output gap, how to design linear inflation contracts to shape the central bank's incentive structure when private expectations are based on adaptive learning. In this model, under rational expectations, inflation contracts could only partially deal with the time‐inconsistency
Marine Charlotte André, Meixing Dai
wiley +1 more source
Simplifying large spin bootstrap in Mellin space
Journal of High Energy Physics, 2018 We set up the conventional conformal bootstrap equations in Mellin space and analyse the anomalous dimensions and OPE coefficients of large spin double trace operators.
Parijat Dey, Kausik Ghosh, Aninda Sinha
doaj +1 more source