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anuttarasammyak's latest activity
anuttarasammyak
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Can one find a matrix that's 'unique' to a collection of eigenvectors?
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I admit that the cases of eigenvalue degeneration should be considered next. I am optimistic to expect that for an example degeneracy 2...
Aug 10, 2025
anuttarasammyak
replied to the thread
I
Can one find a matrix that's 'unique' to a collection of eigenvectors?
.
Say matrix A has sets of eigenvalues and eigenvectors as $$(\mathbf{A}-\lambda_i\mathbf{E})\mathbf{x}_i=0$$ Say there exists another...
Aug 10, 2025
anuttarasammyak
replied to the thread
I
Why are Maxwell's equations and the Lorentz force "so different"?
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Chapter 29 of General theory of relativity, P.A.M. Dirac, was informative for me. He stated the action principle ##\delta...
Aug 7, 2025
anuttarasammyak
reacted to
mma's post
in the thread
I
Why are Maxwell's equations and the Lorentz force "so different"?
with
Like
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You can call it a definition, but it is still a new equation in addition to Maxwell's equations.
Aug 7, 2025
anuttarasammyak
replied to the thread
I
Can one find a matrix that's 'unique' to a collection of eigenvectors?
.
My Bad! Thank you for your correction.
Aug 6, 2025
anuttarasammyak
replied to the thread
I
Can one find a matrix that's 'unique' to a collection of eigenvectors?
.
My 2X2 case study is an easy example to support it. Exchanging j=1,2 does not change the matrix elements. I suppose in n x n matrix...
Aug 5, 2025
anuttarasammyak
replied to the thread
A
Conflicting results about Stress tensor symmetry on EM field
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Now we know that the stress tensors T, T1, and T+T1 are all symmetric in post #17.
Aug 3, 2025
anuttarasammyak
replied to the thread
A
Conflicting results about Stress tensor symmetry on EM field
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You express one of stress tensor in surface integral and the other in volume integral. Then in angular momentum calculation you make the...
Aug 3, 2025
anuttarasammyak
replied to the thread
A
Conflicting results about Stress tensor symmetry on EM field
.
We know the whole tensor is symmetric. In mathematics no symmetric tensor is expressed as sum of symmetric tensor and non symmetric...
Aug 3, 2025
anuttarasammyak
replied to the thread
A
Conflicting results about Stress tensor symmetry on EM field
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Thank you so much for very kind explanation. I still do not find the evidence of this division. The microscopic view denies the...
Aug 3, 2025
anuttarasammyak
reacted to
Klaus3's post
in the thread
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Conflicting results about Stress tensor symmetry on EM field
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Microscopically speaking the distinction doesnt exist. ##T## is supposed to account for contact forces. So forces between particles...
Aug 3, 2025
anuttarasammyak
replied to the thread
A
Conflicting results about Stress tensor symmetry on EM field
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Say ##T_1## comes from EM, where does ##T##, which you say symmetric, come from ? I am not a specialist of materials at all so take it...
Aug 2, 2025
anuttarasammyak
replied to the thread
I
Example of complete set of operators
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Now I have got a right idea in the wording. Thanks.
Aug 2, 2025
anuttarasammyak
replied to the thread
I
Can one find a matrix that's 'unique' to a collection of eigenvectors?
.
##A## and ##D## do not share eigenvalues as posted #14. Even so, is diagonalization by ##P## useful ? In case that real A is a normal...
Aug 2, 2025
anuttarasammyak
replied to the thread
A
Conflicting results about Stress tensor symmetry on EM field
.
Can a body force have stress tensor part ? There seems to be contradiction in words. Maybe a contradiction causes another...
Aug 2, 2025
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