A Error in Landau-Lifshitz Vol 2, equation (2), page 277

[shin1980]

I go on reading the Landau & Lifshitz Vol 2.
I guess that D_α in the equation (2) on p. 277 is a misprint.

Error?: D_α = E_α/√h + g^β H_αβ ⋅⋅⋅ (2)
Correct: ???

Would you correct a misprint ?

 

[renormalize]

I go on reading the Landau & Lifshitz Vol 2.
I guess that D_α in the equation (2) on p. 277 is a misprint.

Error?: D_α = E_α/√h + g^β * H_αβ ⋅⋅⋅ (2)
Correct: ???

Would you correct a misprint ?

Eq. (2) on page 277 of my copy of Landau and Lifshitz Vol. 2 The Classical Theory of Fields, Third Revised English Edition 1971 looks nothing like that. Can you post a scan of the equation from your copy?

 

[shin1980]

Eq. (2) on page 277 of my copy of Landau and Lifshitz Vol. 2 The Classical Theory of Fields, Third Revised English Edition 1971 looks nothing like that. Can you post a scan of the equation from your copy?

I'm reading the book whose version is Fourth Revised English Edition 1980.

 

[martinbn]

Instead of the page, you could give the name of the chapter ans section.

 

[julian]

I think this is the fourth edition:

https://archive.org/details/landau-l.-d.-lifshitz-e.-m.-course-of-theoretical-vol-2/page/n3/mode/2up

 

[renormalize]

I think this is the fourth edition:

Thanks for the link to the 4th edition of The Classical Theory of Fields (first published in 1975, not 1980). The only equations on pg. 277 in that edition are numbered (95.9) & (95.10). There is no eq. (2).
@shin1980 please post your equation of concern here in proper LaTeX or else post a scan of that equation from the book.

 

[TSny]

In the 4th edition (1975), the relevant page is 257, not 277.

I believe I was able to derive the equation for $D_{\alpha}$ in (2) by following the suggestions in the problem. I don't see any misprint or error here.

 

[shin1980]

Instead of the page, you could give the name of the chapter ans section.

I get it.
chapter: CHAPTER 10 PARTICLE IN A GRAVITATIONAL FIELD
section: $90. The equations of electrodynamics in the presence of a gravitational field

 

[shin1980]

Thanks for the link to the 4th edition of The Classical Theory of Fields (first published in 1975, not 1980). The only equations on pg. 277 in that edition are numbered (95.9) & (95.10). There is no eq. (2).
@shin1980 please post your equation of concern here in proper LaTeX or else post a scan of that equation from the book.

All right, but I can't post a scan of that equation from the book for a copyright.
In addition, I can't display the LaTeX code for that equation displayed in the forum by right-clicking under Windows on a computer (The cause of the failure is unknown).

So please excuse me for displaying a non-LaTeX code for that equation.

chapter: CHAPTER 10 PARTICLE IN A GRAVITATIONAL FIELD
section: $90. The equations of electrodynamics in the presence of a gravitational field

PROBLEM
E_α = F_0α, B_αβ = F_αβ,
D^α = -√g₀₀F^0α, H^αβ = √g₀₀F^αβ (1)

Solution:
F_0α = g_0lg_αmF^lm, F^αβ = g^αlg^βmF_lm,

D_α = E_α/√h + g^βH_αβ,
B^αβ = H^αβ/√h + g^βE^α - g^αE^β. (2)

B^α = -1/2√γ⋅e^αβγB_βγ,
H_α = -1/2⋅√γ e_αβγH^βγ (3)

D = E/√h + H×g, B = H/√h + g×E. (4)

 

[renormalize]

All right, but I can't post a scan of that equation from the book for a copyright.

Physics Forums is hosted in the USA, where copyright law allows limited "fair use" of protected materials for, among other reasons, teaching, scholarship and research. Posting a scan here of the equation and surrounding text from the book almost certainly is allowed by fair use.

 

[shin1980]

Physics Forums is hosted in the USA, where copyright law allows limited "fair use" of protected materials for, among other reasons, teaching, scholarship and research. Posting a scan here of the equation and surrounding text from the book almost certainly is allowed by fair use.

Thank you for your advise. I post a scan of that equation from the book.