Results 81 to 90 of about 31,835 (251)
Multi‐Slit Diffraction in Scaled Space‐Time
Natural Sciences, EarlyView.A space‐time scaling is used to transform quantum wave packets describing free particle motion to packets moving in an effective harmonic oscillator potential that confines and directs the wave fronts along the classical phase space of the oscillator. The transformation is applied to multi‐slit diffraction and shown to characterize diffraction features
James M. Feagin
wiley +1 more source
Higher-Order Hermite-Fejér Interpolation for Stieltjes Polynomials
Journal of Applied Mathematics, 2013 Let and be the ultraspherical polynomials with respect to . Then, we denote the Stieltjes polynomials with respect to satisfying . In this paper, we consider the higher-order Hermite-Fejér interpolation operator based on the zeros of and the higher
Hee Sun Jung, Ryozi Sakai
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On the complex Hermite polynomials
Filomat, 2020 In this paper we use a set of partial differential equations to prove an expansion theorem for multiple complex Hermite polynomials. This expansion theorem allows us to develop a systematic and completely new approach to the complex Hermite polynomials.
openaire +2 more sources
Quantum Ghost Imaging by Sparse Spatial Mode Reconstruction
Advanced Quantum Technologies, EarlyView.Hermite–Gaussian spatial modes are used in quantum ghost imaging for enhanced image reconstruction, by exploiting modal sparsity. By leveraging structured light as a basis for imaging, time‐efficient and high resolution quantum ghost imaging is achieved, paving the way for breakthroughs in low‐light, biological science applications.
Fazilah Nothlawala +4 more
wiley +1 more source
DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS
Pesquimat, 2014 In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients.
Santiago César Rojas Romero
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Efficient Simulation of Open Quantum Systems on NISQ Trapped‐Ion Hardware
Advanced Quantum Technologies, EarlyView.Open quantum systems exhibit rich dynamics that can be simulated efficiently on quantum computers, allowing us to learn more about their behavior. This work applies a new method to simulate certain open quantum systems on noisy trapped‐ion quantum hardware.
Colin Burdine +3 more
wiley +1 more source
Wildlife Biology, EarlyView.We compared population trends for rock ptarmigan Lagopus muta densities (2003‒2019) derived from walked transects and driven road transects in Mosfellsheiði and Slétta in southwest and northeast Iceland, respectively. The walked transects were laid out according to a random rule.
Matteo Ferrarini, Ólafur K. Nielsen
wiley +1 more source
A generalization of Hermite polynomials [PDF]
International Journal of Contemporary Mathematical Sciences, 2014 In this paper, we introduce a simple set ( ) p n H x , which is a generalized form of Hermite polynomial ( ) n H x . We establish series form, basic recurrence relations, the pure recurrence relation and Rodrigues type formula for the generalized polynomial.
Sundas Shahzeen +2 more
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The combinatorics of associated Hermite polynomials
European Journal of Combinatorics, 2009 [v1]: 18 pages, 16 figures; presented at FPSAC 2007 [v2]: Some minor errors fixed (thanks Bill Chen, Jang Soo Kim) and text rearranged and cleaned up; no real content changes [v3]: fixed typos, to appear in European J ...
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Mathematics, 2015 The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
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