anuttarasammyak's latest activity
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anuttarasammyak replied to the thread I Commutator of x and p in quantum mechanics.Following your interest to find more profound idea in quantum mechanics, Heisenberg and Dirac observed that Poissson Bracket {A,B} which... -
anuttarasammyak replied to the thread Initial conditions for orbits around a wormhole.Thogh I am a poor layman in GR, I am interested in understanding the question. Initial position and magnitude of initial velocity of...
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anuttarasammyak reacted to bhobba's post in the thread I Modern View of Quantum Phenomena with
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This is not, strictly speaking, a discussion of interpretations per se. We often see discussions based on QM as it was understood... -
anuttarasammyak replied to the thread Most probable velocity from Maxwell-Boltzmann distribution.Formula in ( ) , I referred as F, has v^2 only, no single v. Try replacing v^2 with x in my proposal. The equation would become easier...
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anuttarasammyak replied to the thread I E field in a wire.Say you extend parallel wires from the ends of battery, plus minus charges distribute on their surface and change E, V around from what...
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anuttarasammyak replied to the thread Most probable velocity from Maxwell-Boltzmann distribution.From $$\frac{d}{dv} F = 2v \frac{d}{dv^2} F = 0 $$ It is easier to calculate.
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anuttarasammyak replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.P has more parameters. For example, a 2×2 rotation matrix A has complex eigenvalues $$ A= \begin{pmatrix} \cos\theta & -\sin\theta \\...
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anuttarasammyak replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.As for the diagonalization of n x n matrix A, $$A=PDP^{-1}$$ P has n real number parameters which decide length with plus-minus...
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anuttarasammyak reacted to mathwonk's post in the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors? with Like.
In post #28, what matters is that the vectors xj span. And that they are eigenvectors is irrelevant. Indeed the eigenvectors of a...
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anuttarasammyak reacted to renormalize's post in the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors? with Like.
What if the matrix ##A## has repeated eigenvalues and not all the eigenvectors are linearly independent?
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anuttarasammyak replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.I admit that the cases of eigenvalue degeneration should be considered next. I am optimistic to expect that for an example degeneracy 2...
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anuttarasammyak replied to the thread I Can one find a matrix that's 'unique' to a collection of eigenvectors?.Say matrix A has sets of eigenvalues and eigenvectors as $$(\mathbf{A}-\lambda_i\mathbf{E})\mathbf{x}_i=0$$ Say there exists another...
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anuttarasammyak replied to the thread I Why are Maxwell's equations and the Lorentz force "so different"?.Chapter 29 of General theory of relativity, P.A.M. Dirac, was informative for me. He stated the action principle ##\delta...
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anuttarasammyak reacted to mma's post in the thread I Why are Maxwell's equations and the Lorentz force "so different"? with Like.
You can call it a definition, but it is still a new equation in addition to Maxwell's equations.
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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.
