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pro vyhledávání: '"Grzesik, J. A."'
Autor:
Grzesik, J. A.
We undertake herein to derive the Wigner-Wilkins [W-W] neutron/nucleus scattering kernel, a foundation stone in neutron thermalization theory, on the basis of a self-contained calculation in quantum mechanics. Indeed, a quantum-mechanical derivation
Externí odkaz:
http://arxiv.org/abs/2011.01743
Autor:
Grzesik, J. A.
We revisit the Fourier transform of a Hankel function, of considerable importance in the theory of knife edge diffraction. Our approach is based directly upon the underlying Bessel equation, which admits manipulation into an alternate second order di
Externí odkaz:
http://arxiv.org/abs/2001.11987
Autor:
Grzesik, J. A.
We revisit the electromagnetic problem of wave incidence upon a uniform, dissipative dielectric slab of finite thickness. While this problem is easily solved via interface field continuity, we treat it under the viewpoint of radiative self-consistenc
Externí odkaz:
http://arxiv.org/abs/1807.05828
Autor:
Grzesik, J. A.
Budden's energy nonconservation paradox is dispelled herein by recognizing that pole approach to the spatial origin from below in the complex plane can be resolved into a real principal value plus $-i\pi$ times a Dirac delta, the imaginary coefficien
Externí odkaz:
http://arxiv.org/abs/1801.01358
Autor:
Grzesik, J. A.
The celebrated Sommerfeld wedge diffraction solution is reexamined from a null interior field perspective. Exact surface currents provided by that solution, when considered as disembodied half-plane laminae radiating into an ambient, uniform space bo
Externí odkaz:
http://arxiv.org/abs/1610.04640
Autor:
Grzesik, J. A.
A growing acceptance of fiber reinforced composite materials imparts some relevance to exploring the effects which a predominantly linear scattering lattice may have upon interior radiant transport. Indeed, a central feature of electromagnetic wave p
Externí odkaz:
http://arxiv.org/abs/1607.05118
Autor:
Grzesik, J. A.
The nested Kholodenko-Silagadze quadrature \[ I_{n} = \int_{-\infty}^{\;\infty}ds_{1}\int_{-\infty}^{\;s_{1}}ds_{2}\int_{-\infty}^{\;s_{2}}ds_{3}\cdots \int_{-\infty}^{\;s_{2n-3}}ds_{2n-2}\int_{-\infty}^{\;s_{2n-2}}ds_{2n-1}\int_{-\infty}^{\;s_{2n-1}
Externí odkaz:
http://arxiv.org/abs/1410.5788
Autor:
Grzesik, J. A.
Publikováno v:
Real Analysis Exchange, Volume 41, Issue 2, Inroads section, 2016, pp. 351-366
One solution to a relatively recent American Mathematical Monthly problem [6], requesting the evaluation of a real definite integral, could be couched in terms of a contour integral which vanishes {\textit{a priori.}} While the required real integral
Externí odkaz:
http://arxiv.org/abs/1409.3328
Autor:
Grzesik, J. A. (AUTHOR) jan.grzesik@hotmail.com
Publikováno v:
College Mathematics Journal. Sep2024, Vol. 55 Issue 4, p346-348. 3p.
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