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pro vyhledávání: '"Gsponer, Andre"'
Autor:
Gsponer, Andre
The classical theory of radiating point-charges is revisited: the retarded potentials, fields, and currents are defined as nonlinear generalized functions. All calculations are made in a Colombeau algebra, and the spinor representations provided by t
Externí odkaz:
http://arxiv.org/abs/0812.4812
Autor:
Gsponer, Andre
The classical theory of radiating point-charges is revisited: the retarded potentials, fields, and currents are defined as nonlinear generalized functions and all calculations are made in a Colombeau algebra. The total rate of energy-momentum radiate
Externí odkaz:
http://arxiv.org/abs/0812.3493
Autor:
Gsponer, Andre
Electroweak unification is implied by the local structure theorem of distribution theory applied to the causal interval R=X-Z between two space-time points X and Z. Taking R as generating function, the potentials of the electromagnetic and weak inter
Externí odkaz:
http://arxiv.org/abs/0811.3895
Autor:
Gsponer, Andre
In arXiv:0806.4682 the self-energy and self-angular momentum (i.e., electromagnetic mass and spin) of a classical point-electron were calculated in a Colombeau algebra. In the present paper these quantities are calculated in the better known framewor
Externí odkaz:
http://arxiv.org/abs/0809.3611
Autor:
Gsponer, Andre
The electromagnetic scattering of a spin-0 charged particle off a fixed center is calculated in first-order quantum perturbation theory. This implies evaluating the square of a `Dirac delta-function,' an operation that is not defined in Schwartz dist
Externí odkaz:
http://arxiv.org/abs/0809.2576
Autor:
Gsponer, Andre
This is a gentle introduction to Colombeau nonlinear generalized functions, a generalization of the concept of distributions such that distributions can freely be multiplied. It is intended to physicists and applied mathematicians who prefer a `step-
Externí odkaz:
http://arxiv.org/abs/0807.0529
The unmodified Heisenberg-Pauli canonical formalism of quantum field theory applied to a self-interacting scalar boson field is shown to make sense mathematically in a framework of generalized functions adapted to nonlinear operations. The free-field
Externí odkaz:
http://arxiv.org/abs/0807.0289
Autor:
Gsponer, Andre
Publikováno v:
J. Math. Phys., Vol.49 (2008) 102901 (22 pages)
The electric and magnetic fields of a pole-dipole singularity attributed to a point-electron-singularity in the Maxwell field are expressed in a Colombeau algebra of generalized functions. This enables one to calculate dynamical quantities quadratic
Externí odkaz:
http://arxiv.org/abs/0806.4682
In 1929 Heisenberg and Pauli laid the foundations of QFT by quantizing the fields (method of canonical quantization). This general theory of quantized fields has remained undisputed up to now. We show how the unmodified Heisenberg-Pauli calculations
Externí odkaz:
http://arxiv.org/abs/0705.2396
Autor:
Gsponer, Andre
Publikováno v:
Eur. J. Phys. /28/ (2007) 1021-1042
Faraday's and Furry's formulas for the electromagnetic momentum of static charge distributions combined with steady electric current distributions are generalised in order to obtain full agreement with Poynting's formula in the case where all fields
Externí odkaz:
http://arxiv.org/abs/physics/0702016