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SUMMARY:Electromagnetic Stress-Energy tensor in a dispersive medium
DTSTART;VALUE=DATE-TIME:20200305T184800Z
DTEND;VALUE=DATE-TIME:20200305T190000Z
DTSTAMP;VALUE=DATE-TIME:20241010T105547Z
UID:indico-contribution-267@mosphys.ru
DESCRIPTION:Speakers: Carlos Heredia Pimienta (University of Barcelona)\nT
he main purpose of this work is to obtain the Electromagnetic Stress-Energ
y Tensor in a medium for a nonlocal theory. In order to get it\, we genera
lise Minkowski electrodynamics to dispersive media. As a consequence of th
is generalisation\, the Lagrangian density becomes non-local due to the no
n-local dependencies of the magnetic permeability and electric permittivit
y. This leads a convolution product in the Lagrangian where the field at p
oint 'x' depends on the values of the field at any point in spacetime. The
n\, we derive the field equations and\, applying the Noether's theorem\, t
he conserved energy-momentum tensor. Because non-local Lagrangians are sel
dom found in textbooks\, we devote a non-local formalism to outline the de
rivation of the field equations and Noether's theorem. For that\, the proc
edure is the following: First\, the non-local Lagrangian is converted into
an infinite order Lagrangian (that depends on derivatives of the field of
any order). Then\, the equations of motion and Noether's theorem are deri
ved as though it was an order-n Lagrangian. Finally\, we extend n to infin
ite and the outcomes that appear contain formal series that can be summed
by the techniques that we have developed. To conclude\, we study the obtai
ned Belinfante Stress-Energy Tensor for plane wave solutions for a dispers
ive medium.\n\nhttps://rich2018.org/indico/event/5/contributions/267/
LOCATION:HSE Study Center “Voronovo”
URL:https://rich2018.org/indico/event/5/contributions/267/
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