A new operational argument in favor of the genuine asymmetric maxwell-minkowski tensor

1967 ◽  
Vol 48 (2) ◽  
pp. 293-300 ◽  
Author(s):  
O. Costa De Beauregard
Keyword(s):  
Minkowski Tensor

scholarly journals Minkowski tensor density formulas for Boolean models

2014 ◽  
Vol 55 ◽  
pp. 48-85 ◽  
Author(s):  
Julia Hörrmann ◽  
Daniel Hug ◽  
Michael Andreas Klatt ◽  
Klaus Mecke
Keyword(s):  
Boolean Models ◽  
Tensor Density ◽  
Minkowski Tensor

scholarly journals Application of the contour Minkowski tensor and D statistic to the Planck E -mode data

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Joby P. Kochappan ◽  
Aparajita Sen ◽  
Tuhin Ghosh ◽  
Pravabati Chingangbam ◽  
Soumen Basak
Keyword(s):  
Minkowski Tensor

Tenseurs d'impulsion–énergie asymétriques et moment angulaire à six composantes dans le problème des deux impulsions du photon et celui de l'effet magnétodynamique

1975 ◽  
Vol 53 (21) ◽  
pp. 2355-2368 ◽  
Author(s):  
O. Costa de Beauregard
Keyword(s):  
Energy Flux ◽  
Evanescent Wave ◽  
A Priori ◽  
Momentum Conservation ◽  
Momentum Density ◽  
Total Reflection ◽  
Refractive Indices ◽  
Energy Tensor ◽  
Covariant Formulation ◽  
Minkowski Tensor

When an asymmetrical momentum–energy tensor Tij is used in the relativistic covariant formulation of the six component angular momentum conservation, and when this formulation is particularized in Newtonian style (initial and final integrals at constant times t and t + dt, origin of point instants simultaneous with t), there is a compensation of terms which substitutes the energy flux T4α for the momentum density Tα4.Three applications of this general result are given.If Tij is the Maxwell–Minkowski tensor, the integrated momentum density D × B is fully replaced by the energy flux E × H, or in other terms, the Minkowski momentum of the photon nhv/c is replaced by the Abraham momentum hv/nrc (n and nr = n cos θ are the refractive indices of the diopter for the directions normal to the equiphase planes and parallel to the extraordinary ray). This is a general solution of the photon two momenta paradox for refringent media.An analogous problem exists for the Fresnel evanescent wave associated with total reflection, in relation to the Goos–Hänchen and Imbert shifts. The solution is identical, but uses the de Broglie and Géhéniau canonical tensor (the Maxwell–Minkowski tensor, being symmetrical in vacuum, cannot be used). A third similar problem is that of the momentum [Formula: see text] 'hidden' in an electric field E = ∂V (Penfield–Haus effect). In terms of densities, the energy flux Vj is seen to appear instead of momentum density qA expected a priori (A, iV: 4 potential, j, iq: current density). In this case, the paradox is solved by using the momentum–energy tensor Akjl or Akjl – (1/2)Aijiδkl. [Translated by the Journal]

About the equivalence of Abraham's and Minkowski's electrodynamics

1979 ◽  
Vol 57 (7) ◽  
pp. 1022-1026 ◽  
Author(s):  
Miroslav Kranyš
Keyword(s):  
Elastic Medium ◽  
Closed System ◽  
Energy Momentum Tensor ◽  
Symmetric Tensor ◽  
Momentum Tensor ◽  
Dynamical Equations ◽  
Minkowski Tensor

The old problem of the structure of the energy-momentum tensor of a polarized and magnetized elastic medium is investigated. It is shown that the Minkowski tensor in connection with Eckart's non-symmetric tensor—if one requires that the resulting tensor be symmetric—is equal to the sum of Eckart's symmetric tensor with the Abraham tensor. Both possibilities lead to the same energy-momentum tensor for a closed system. Consequently, the dynamical equations for both combinations are identical and the possibility of distinguishing between the two tensors by observing the Abraham force [Formula: see text] is out of the question.

scholarly journals papaya2: 2D Irreducible Minkowski Tensor computation

2020 ◽  
Vol 5 (54) ◽  
pp. 2538
Author(s):  
Fabian Schaller ◽  
Jenny Wagner ◽  
Sebastian Kapfer
Keyword(s):  
Minkowski Tensor

scholarly journals A novel probe of ionized bubble shape and size statistics of the epoch of reionization using the contour Minkowski Tensor

2018 ◽  
Vol 2018 (10) ◽  
pp. 011-011 ◽  
Author(s):  
Akanksha Kapahtia ◽  
Pravabati Chingangbam ◽  
Stephen Appleby ◽  
Changbom Park
Keyword(s):  
Bubble Shape ◽  
Minkowski Tensor ◽  
Shape And Size
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