Recent content by Andrea B DG

Here are some of the books in my library that I have studied form 10% to 100%. Some are in french and one in italian but english translation exist. I have used italics fonts for the books that helped me the most in the study of physics. General Physics The Feynman Lectures on Physics I - III...

I have re-read our discussion, for which I thank you, and it seems to me that Maxwell's equations impose the following covariant formalism: For all Lorenz transformation Λ except for time reversal T J'μ = Λμν Jν F'μν = Λμγ Λνδ Fγδ → A'μ = Λμν Aν For time reversal T J'μ = -Tμν Jν F'μν = -Tμγ...

In the reference you mentioned I find: “Next let us consider the electric and magnetic fields. How do they transform under time reversal? Well, the standard procedure is simply to assume that classical electromagnetism is invariant under time reversal.” I think that time invariance is contained...

Thanks for the reply. Yes I have considered the signs flips you mentioned. Note that when considering space inversion (parity) Lorenz transformation Pμν = 0 if μ ≠ ν, -1 if μ = ν = 1..3 and 1 if μ = ν = 0 I obtains the same result of time reversal (but with the correct physical meaning).

Consider equation (2.7.8) page 42 in the book Gravitation and Cosmology by Weinberg F' αβ = Λαγ Λβδ Fγδ Now consider the time reversal Lorenz transformation Λμν = 0 if μ ≠ ν, 1 if μ = ν = 1..3 and -1 if μ = ν = 0 then F' 00 = 0 F' 0i = -F 0i F' ij = F ij Using equation (2.7.5) of the same book...

If you compute Int( exp(-ikx), x=-Infinity..Infinity) you get Infinity for k=0 and 2/k sin(k Infinity) that is undefined for k=/=0. To remove this ambiguity use the Residue theorem giving Int( exp(-ikz), z on C ) = 0 where C is the contour of a half-disk of radius R. Then using the...