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Noether currents for incremental Lorentz transformation.
[Click here for a (CORRECTED) PDF of this sequence of posts with nicer formatting] Let’s assume that we can use the exponential generator of rotations to alter a Lagrangian density. In particular, that...
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(CORRECTED) Noether current for incremental Lorentz transformation.
Had logic errors in previous post on the same. Corrected here (replacing the pdf version, but retaining the previous mistaken notes). Guts [Click here for a PDF of this sequence of posts with nicer...
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On the existence of the symmetry for rotationally altered field Lagrangian
[Click here for a PDF of this sequence of posts with nicer formatting] General existence of the rotational symmetry. The previous example hints at a general method to demonstrate that the incremental...
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Existence of a symmetry for translational variation.
[Click here for a PDF of this sequence of posts with nicer formatting] Considering an example Lagrangian we found that there was a symmetry provided we could commute the variational derivative with the...
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Relating the canonical energy momentum tensor to the Lagrangian gradient.
[Click here for a PDF of this sequence of posts with nicer formatting] In [4] many tensor quantities are not written in index form, but instead using a vector notation. In particular, the symmetric...
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Relativistic classical proton electron interaction. (a start).
[Click here for a PDF of this sequence of posts with nicer formatting] Motivation The problem of a solving for the relativistically correct trajectories of classically interacting proton and electron...
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Electrodynamic field energy for vacuum.
[Click here for a PDF of this post with nicer formatting] Motivation. We now know how to formulate the energy momentum tensor for complex vector fields (ie. phasors) in the Geometric Algebra formalism....
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Electrodynamic field energy for vacuum (reworked)
[Click here for a PDF of this post with nicer formatting] Previous version. This is a reworked version of a previous post ([also in PDF] Reducing the products in the Dirac basis makes life more...
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Energy and momentum for assumed Fourier transform solutions to the...
[Click here for a PDF of this post with nicer formatting] Motivation and notation. In Electrodynamic field energy for vacuum (reworked) [1], building on Energy and momentum for Complex electric and...
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Fourier transform solutions and associated energy and momentum for the...
[Click here for a PDF of this post with nicer formatting]. Note that this PDF file is formatted in a wide-for-screen layout that is probably not good for printing. These notes build on and replace...
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