Landau and lifshitz Definition and 24 Threads

I actually have worked through the solution just fine by taking the derivative of \vec{L}: \frac{d \vec{L}}{dt} = \dot{\vec{v}} \times \vec{M} - \alpha \left(\frac{\vec{v}}{r} - \frac{\left(\vec{v} \cdot \vec{r}\right)\vec{r}}{r^{3}}\right) I permuted the double cross product: \dot{\vec{v}}...

Hello, I have posted a similar thread on this question before, but I'd like to get some help to simplify the answers I've got so far in order to match the solutions provided. If anyone could help me, I would really appreciate it. Since (c) is quite similar to (b), I'll leave here what I've done...

Hello, I'm having some trouble understanding this solution provided in Landau's book on mechanics. I'd like to understand how they arrived at the infinitesimal displacement for the particles m1. I appreciate any kind of help regarding this problem, thank you!

So I've been studying classical mechanics and have come across a small doubt with the solution provided to the problem in question from Landau's book. My question is: why are the coordinates for the particle given as they are in the solution? I imagine it has something to do with the harmonic...

Let ##K## and ##K'## be two inertial frame, If K is moving with infinitesimal velocity relative to ##K'## , then ##v' = v + \epsilon##. Note that ##L(v^2) - L(v'^2)## is only a total derivative of a function of coordinate and time. (I understand this part) Because ##L' = L(v'^2) = L(v^2 +...

What types of math should a student be comfortable with going into a classical mechanics class at the level of Landau and Lifshitz? And are there any additional types of math that aren’t required, per se, but would be beneficial to know (for said course)?

Which textbook is better for an upper division course in classical mechanics - Goldstein’s book or L&L’s book?

I'm reading Mechanics by Landau and Lifshitz, chapter IV, and trying to understand how in a (closed) center of mass system, with randomly distributed and oriented particles that disintegrate, "the fraction of particles entering a solid angle element ##do_{0}## is proportional to ##do_{0}##, i.e...

In his book, Landau mentioned varying the relativistic lagrangian However, I do not understand how he got from varying the integral of ds to varying only the contravariant components. Would the general procedure not be varying $$\delta S = -mc\delta\int_a^b\frac{dx_idx^i}{\sqrt{ds}}$$ and...

Hi everyone. So I'm going through Landau/Lifshitz book on Mechanics and I read through a topic on inertial frames. So, because we are in an inertial frame, the Lagrangian ends up only being a function of the magnitude of the velocity only (v2) Now my question to you is, how does one prove that...

Homework Statement I think the in equation ##(28.2)##,##x^i## in ##\frac{dx^i}{dt}## and the ##x^i## decides ##\rho## is not the same,if they are equaivalent,##\rho## can not vary with position changing and time fixed, because ##\frac{dx^i}{dt}## indicate the ##x^i(t)## which means if position...

Hello everyone. In the 3rd edition of Mechanics by Landau and Lifshitz, paragraph 14, there is a problem concerning spherical pendulum. Calculations leading to the integral $$ t=\int \frac {d \Theta} {\sqrt{\frac{2}{ml^2}[E-U_{ef}(\Theta)]}},$$ $$...

<<Mentor's note: this is spin-off this thread>> One error I'm aware of in LL vol. I is the claim on integrability. But what's wrong with LL's treatment of anholonomous constraints (in sectin 38 in my German edition)? It just leads to the usual equations with Lagrange parameters you also get...

I'm studying from landau lifšits "mechanics". I had some troubles in section small oscillations-->forced oscillations, especially from eq 22.4 to eq 22.5 i searched the web and came across this: https://www.physicsforums.com/threads/forced-oscillations-and-ressonance.488538/#post-3236442 this...

I have starting working through section 134 of Landau and Lifshitz, vol 6, and it seems I have entered some kind of twilight zone where all my math/physics skills have left me :cry: The derivation starts with the energy-momentum tensor for an ideal fluid: ## T^{ik} = wu^i u^k - p g^{ik} ##...

Author: L.D. Landau, E.M Lifshitz Title: Course of Theoretical Physics Amazon Link: https://www.amazon.com/dp/0750628960/?tag=pfamazon01-20 https://www.amazon.com/dp/0750627689/?tag=pfamazon01-20 https://www.amazon.com/dp/0750635398/?tag=pfamazon01-20...

Is Landu & his student Lifgarbagez's all book really for a good read.Also can you give me details about the Level of Book Undergraduate or Graduate.

In page 28 of Mechanics by Landau and Lifgarbagez, there is the following equation. \int_0^\alpha \frac{T(E) dE}{\sqrt{\alpha-E}}=\sqrt{2m}\int_0^\alpha \int_0^E \left[ \frac{dx_2}{dU}-\frac{dx_1}{dU}\right] \frac{dU dE}{\sqrt{[(\alpha-E)(E-U)]}} Then, by changing the order of integration...

What are the mathematical prerequisites of these books? In particular, what are the mathematical prerequisites of volume I?

Hi everyone, I'm currently working through volume 1 - mechanics. I'm planning on doing the whole series over the course of the next few years, but there are a few topics I'd like to get to before others. I was just wondering if they are meant to be read one after the other, or if they were...

"Landau and Lifshitz" I was reading some other forum when I found word "spe******ts" - it took me some time to understand what I am seeing. Perhaps I should post it in brain teasers :smile:

Hi everyone, I'm trying to work through section 86 of Landau and Lifgarbagez volume 2 (The Classical Theory of Fields). Basically, I am unable to get equation (86.6) from equations (86.4) and (86.5). I've detailed my working/question in the attached jpg file. I would appreciate any inputs...

is this book good for studying e&m and general relativity?

i'm having major problems with mecanics because the recomended textbook mechanics by landau and lif****z is far too mathematical. can anyone recommend a book which covers similar material with less general equations etc? I'm willing to lower myself to using engineering books!