Estimating an Error of the Excitation-Field Model in the Form of a Delta Function in the Theory of Dipole Antennas
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DOI: 10.1007/s11141-020-10023-1
Abstract: We compare the values of the input impedance of a linear dipole antenna, which are obtained on the basis of solving integral equations by the exact and approximate methods. The expansions in terms of the… read more here.
Keywords: error excitation; field; model; estimating error ... See more keywords
Reaction-diffusion approach to electronic relaxation in solution: Simple derivation for delta function sink models
Sign Up to like & getrecommendations! Published in 2020 at "Chemical Physics Letters"
DOI: 10.1016/j.cplett.2020.137531
Abstract: Abstract We propose a very simple method for finding the exact analytical solution for the problem of electronic relaxation in solution, modelled by a particle undergoing diffusive motion under any arbitrary potential in presence of… read more here.
Keywords: electronic relaxation; function sink; solution; relaxation solution ... See more keywords
The variational method applied to the harmonic oscillator in the presence of a delta function potential
Sign Up to like & getrecommendations! Published in 2020 at "European Journal of Physics"
DOI: 10.1088/1361-6404/abf8c9
Abstract: The problem of the harmonic oscillator with a centrally located delta function potential can be exactly solved in one dimension, where the eigenfunctions are expressed as superpositions of the Hermite polynomials or as confluent hypergeometric… read more here.
Keywords: delta; function potential; harmonic oscillator; variational method ... See more keywords
Electromagnetic δ -function sphere
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DOI: 10.1103/physrevd.96.085010
Abstract: We develop a formalism to extend our previous work on the electromagnetic $\delta$-function plates to a spherical surface. The electric ($\lambda_e$) and magnetic ($\lambda_g$) couplings to the surface are through $\delta$-function potentials defining the dielectric… read more here.
Keywords: energy; function sphere; electromagnetic function; formalism ... See more keywords
Sharp Computational Images From Diffuse Beams: Factorization of the Discrete Delta Function
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DOI: 10.1109/tci.2020.3007549
Abstract: Discrete delta functions define the limits of attainable spatial resolution for all imaging systems. Here we construct broad, multi-dimensional discrete functions that replicate closely the action of a Dirac delta function for convolution under aperiodic… read more here.
Keywords: sharp computational; computational images; delta; delta function ... See more keywords
White noise delta functions and infinite-dimensional Laplacians
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DOI: 10.1142/s0219025720500289
Abstract: In this paper, we introduce a new white noise delta function based on the Kubo–Yokoi delta function and an infinite-dimensional Brownian motion. We also give a white noise differential equation induced by the delta function… read more here.
Keywords: noise delta; infinite dimensional; white noise; delta function ... See more keywords