Landau Definition and 111 Threads

  1. I

    How about Why does the Landau notation for division work when h approaches 0?

    Why is it that, ## \frac{a+\mathcal{O}(h^2)}{b+\mathcal{O}(h^2)} = \frac{a}{b}+\mathcal{O}(h^2) ## as ##h\rightarrow 0##? It seems like the ##\mathcal{O}(h^2)## term should become ##\mathcal{O}(1)##.
  2. B

    Mastering Landau QM: A Comprehensive Guide to Chapters 1 & 2

    Having done a course in QM I still find the first two chapters of Landau Vol. 3 extremely dense. Is there any nice reference that closely parallel's Landau's development, just giving more details/examples? Literally just the first two chapters, but done almost the exact same way + details/examples.
  3. N

    Have you had any mind-blowing experiences with Landau and Lifschitz series?

    I was reading the volume on mechanics and I think the way they determine the dependence of the action function for a free particle to be on the velocity alone is just beautiful, how they rule out any dependence of the action function on the coordinates based solely on the isotropy of space, and...
  4. A

    Landau classical field theory question

    One page 24 of his book on classical field theory (4th edition), Landau derives the relativistic equation of motion for a uniformly accelarated particle. How does he get the differential equation that leads him to his result?
  5. H

    Landau and Lifschitz derivation question

    Greetings, On page 7 of Landau and Lifschitz Vol. 1 3rd. Ed, it says L(v'^2)=L(v^2+2\bf{v}\cdot\bf{ε}+\bf{ε}^2). They then Taylor expand in powers of ε, getting (ignoring second order terms and higher) L(v'^2)=L(v^2)+\frac{\partial L}{\partial v^2}2\bf{v}\cdot\bf{ε}. The...
  6. J

    Angular Momentum, Problem from Landau Lifshitz

    This is problem 3 from section 9 of Mechanics, Landau Lifgarbagez. I have been trying to understand the problem but I have no idea how to solve it. Can someone give me a hand please? any comment or suggestion is very welcome. Thanks for your time. Best regards.
  7. Z

    Riemann Curvature Scalar Differs in Landau & MTW

    hello For the same Friedmann metric, Landau (Classical theory of fields) finds a value for the Riemann curvature scalar which is given in section 107 : R = 6/a3( a + d2(a)/dt2) whereas in MTW , in box 14.5 , equation 6 , its value is : R = 6(a-1 d2(a)/dt2 + a-2 (1 + (d(a)/dt)2 ) ) The...
  8. G

    Understanding the Landau Pole Phenomenon in Quantum Field Theory

    I read on Wikipedia (and verified myself) that if the beta function is proportional to the coupling raised to a power greater than 1, then there is a Landau pole, i.e., the coupling blows up at high energy. Here is what I got, for β=gα, where 1∠α, where g is the coupling and μ is scale...
  9. diegzumillo

    Electrostatics - method of conformal mapping (from Landau)

    I'm studying Landau's Electordynamics of continuous media and, although I like how succinct it is, sometimes it is too succinct! I'm having trouble with a particular passage, so I'll just try to summarize the section up until the part I don't understand. The topic at hand is electrostatic field...
  10. S

    Mathematics Equivalent to Landau & Lifshitz

    Can one tell me about the Mathematical Equivalent to Landau & Lifgarbagez. or any other set that deal with all Graduate Level Mathematics. There is a Series by Springer, Springer Graduate Texts in Mathematics but they contains too many books. It would be great if they contain Max. 20 books...
  11. micromass

    Course of Theoretical Physics by Landau and Lifshitz

    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...
  12. N

    What level are Landau and Lifgarbagez books suitable for?

    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.
  13. A

    Period of a particle in a given potential (ex. from Mechanics Landau Lifshitz))

    Homework Statement Determine the period of oscillation, as a function of the energy, when a particle of mass ##m## moves in a field for which the potential energy is $$ U = U_0 \tan^2\alpha x.$$ Homework Equations The relevant equation is given by the general formula for the period...
  14. M

    London theory, Landau theory and Lorentz Einstein law

    London theory, Landau theory... and Lorentz Einstein law I am trying to learn all I can about superconductivity and discovered an interesting document in Internet. Does the Lorentz Einstein law hold true for the supercurrent : 1) of the London approach? js = ... ∂θ/∂r - A where θ is the...
  15. M

    Why are the coefficients of the Landau theory Taylor expansion even?

    Assume that we can expand the Helmholtz potential about T=T_c, M=0 in a standard Taylor series form of functions of the variables, A(T,M)=\sum^{\infty}_{j=0}L_j(T)M^j=L_0(T)+L_2(T)M^2+L_4(T)M^4+... Why A(T,M) must be even function of M? Coefficients can be expanded about T=T_c...
  16. O

    How to get this equation - Mechanics by Landau and Lifshitz

    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...
  17. O

    Landau Lifshitz - Total time derivative of the Lagrangian

    On page 13 in Landau-Lifgarbagez Mechanics, the total time time derivative of the Lagrangian of a closed system is given to be, \frac{d L}{d t} = \sum_i \frac{\partial L}{\partial q_i} \dot{q_i} + \sum_i \frac{\partial L}{\partial \dot{q_i}} \ddot{q_i} Why does this stop here? I mean, why...
  18. Peeter

    Typo in Landau mechanics pendulum problem?

    Homework Statement Attempting a mechanics problem from Landau's mechanics (3rd edition) I get a different answer, as shown below. Error by me, or typo in the textbook? I can't find any errata page for the text, but since it's an older book, perhaps no such page is maintained. Chapter 1...
  19. H

    Help understanding landau damping derivation

    I have been given a derivation describing the physics of landau damping, but i don't quite understand it. It starts with the equation for a charged particle in a 1d electric field varying as Eexp[i(kx-wt)] being determined by d2x/dx2=e/m Eexp[i(wt-kx)]. Since we are dealing with a linearized...
  20. Hunus

    Question on Landau and Lifshitz volumes

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

    Landau: Explaining the Definition of "Number of States with Energy

    Question about Landau: Definition of "Number of states with energy" in an interval Hey! I am currently reading Landau's Statistical Physics Part 1, and in Paragraph 7 ("Entropy") I am struggling with a definition. Right before Equation (7.1) he gives the "required number of states with...
  22. W

    What is the Landau pole and how does it relate to the coupling constant in QED?

    According to Wiki: "If a beta function is positive, the corresponding coupling increases with increasing energy. An example is quantum electrodynamics (QED), where one finds by using perturbation theory that the beta function is positive. In particular, at low energies, α ≈ 1/137, whereas at...
  23. I

    Landau theory: why does a m^3 term implies first order transition phase

    Hi, I am not sure it is the right subcategory to post a question on statistical physics. But anyway, I read a couple of times that adding a m^3 to the Landau free energy implies that we may observe a first order transition phase, but I don't see why. Maybe it does imply some discontinuity in...
  24. xaratustra

    Landau quantization of cyclotron orbit

    I don't know what the speed of light c is doing in the Hamiltonian for the Landau quantization. The term doesn't have dimensions of momentum anymore. :confused: \hat{H}=\dfrac{\hat{p}^2_x}{2m}+\dfrac{1}{2m}\left(\hat{p}_y-\dfrac{q|\vec{B}|}{c}\hat{x}\right)^2 Any ideas? thanks.
  25. N

    Problem Landau relativity special

    Hello!: My name is Camilo, i want answer one question about of special relativity, in Landau volumen II. the question is in doc attachments! is my first time, sorry.
  26. G

    Can the Bohr Model Accurately Predict Electron Energy in a Magnetic Field?

    hi i thought that if i try to derive the energy of an electron in a magnetic field, this could be done with the assumptions of the bohr model. L=n h/(2π) mv²/r=qvB => mvr=qBr²=>n h/(2π)=qBr² E=p²/(2m)=q²B²r²/(2m)=n h/(2π)qB/(2m) so i get the energy for the first level, but all transitions...
  27. M

    Understanding Landau Level Broadening in Magnetic Fields

    what is meant by landau level broadening in a magnetic field?
  28. planethunter

    Supplemental book for Landau (mechanics)

    Hello all, I know this might be a redundant question. I started my graduate mechanics course tonight and we will be using Landau's book. What does everyone recommend as a good supplemental book to Landau in order to understand the concepts better? One that has I would say more elaborate examples...
  29. O

    Landau and Lifshitz Course - any particular order?

    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...
  30. D

    A question on the action as a function of the co-ordinates in Landau 1

    A question on "the action as a function of the co-ordinates" in Landau 1 Landau Mechanics, volume 1, third edition, page 138-139 (section 43) I can understand equations (43.1) - (43.3), which talk about treating the ending point of the path as a variable. Then, they continue to treat the...
  31. marcus

    Dau-film about Russian physicist Lev Landau 1908-1968

    Dau--film about Russian physicist Lev Landau 1908-1968 The film-maker is Khrzhanovsky http://en.wikipedia.org/wiki/Ilya_Khrzhanovsky Here is the Cannes Film Festival page about the Landau film ("Dau") http://www.festival-cannes.com/en/cinefoundation/ficheFilmAtelier/id/4347979/year/2006.html...
  32. G

    Landau & Lifschitz, Classical Theory of Fields

    Landau & Lifschitz, "Classical Theory of Fields" The above titled book is useful in many regards, but occasionally I find what I think are errors in the text. I have the Third Revised English edition (1971). On p. 231, for example, an unnumbered equation E = J e. I have omitted the...
  33. G

    How Can You Calculate Landau Level Orbitals and Wavefunctions?

    hey, i am concerned with landau levels and wanted to ask you whether you have a link, where one can see the orbitals- just like the orbitals for the hydrogen atom- for at least a few electron states? otherwise it would be sufficient if you could give me a hint how to calculate them. i...
  34. G

    Graphene ribbon and Landau Energy Bands of Graphite

    hı ; Pleaseee help mee. My thesis subject is graphene ribbon and Landau Energy Bands of Graphite. I am trying to plot graphics in energy levels of tight-binding electrons in graphane in the presence magnetic field but I couldn't plot graphic exactly .Can you give me information how I can draw...
  35. S

    Landau Quantization: Classical Particle Motion in a Uniform Magnetic Field

    1. The problem statement Problem: "Consider a classical particle with charge q and mass m in 2 dimensions (xy-plane) moving in the presence of a uniform magnetic field B=B_z.'' There are a number of parts to this problem, but it's the first three that have me confused. "(a) Describe the...
  36. maverick_starstrider

    Fluctuation Terms in Landau Theory

    Alright, here is something that is driving me insane. I feel like I've looked through every stat mech book on the planet and not a one discusses this stuff properly. My difficulty is in the study of phase transitions when one applies Landau's approach of expanding the free energy about the...
  37. S

    How can you prove that x' ≠ x in Landau's Foundations of Analysis?

    Hi I'm reading this great book Foundations of Analysis by Edmund Landau, a really old book that aims to build the foundations of analysis from basic arithmetic. I'm not that strong on proofing yet but am trying, here is my problem. Using these 5 axioms for the Natural numbers; I) \ 1 \in...
  38. W

    How Can I Bridge the Gap Between Landau and Griffiths in Electrodynamics?

    Since I'm reading SR/GR now, I thought I'd complement it with a treatment of EM also. I am looking for a treatment of electrodynamics at the level of Landau, i.e. I want the covariant formulation and the Lagrangian formulation of the fields. My background is the level of Griffiths. Landau seems...
  39. B

    Landau Lifshitz's statement on Coordinates, velocity & acceleration

    In Landau-Lifgarbagez Classical Mech there is a statement - " Mathematically if all the coordinates 'q' and velocities 'qdot' are given at some instant, the accelerations 'q double-dot' at that instant is uniquely defined" on page 1 in Chapter - Equation of Motion. " However, I always thought...
  40. L

    Landau Lifshitz Course of Theoretial Physics

    Hello, Name is Lamont, new here. I am currently a graduate physics student. I have been looking for A Course of Theoretical Physics by Landau and Lifgarbagez. I can find the books individually but I cannot find the whole series together. I found one site, Flipkart.com, that does seem to...
  41. Borek

    Solving the Mystery of "spe******ts

    "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:
  42. M

    Landau quantization and magnetic translation

    I am trying to learn the integer quantum hall effect and have a pretty straightforward question. I understand that the normal translation group does not commute with the Landau Hamiltonian. Does this mean that if you have a state in the lowest Landau level (LLL) and apply the translation...
  43. B

    Understanding Zeroth Order Approximations in Landau Level Equations

    The hamiltonian is H=\frac{1}{2}(\vec{p}+\frac{\vec{A}}{c}). We investigate this problem at a polar coordinate (r,\theta). The radial equation is [-\frac{1}{2}\frac{d^2}{dr^2}+\frac{1}{2}(m^2-\frac{1}{4})\frac{1}{r^2}+\frac{1}{2}\omega_{L}r^2]u(r)=[E-m\omega_{L}]u(r) in order to find the...
  44. P

    Least action principle for a free relativistic particle (Landau)

    Reading the Landau's "The classical theory of fields" (chapter 2, section 9 ) I have some doubts in explaining the steps in derivig the formula for the variation of the action for the relativistic free particle...
  45. maverick280857

    Covariant divergence question from Landau and Lifshitz

    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...
  46. W

    Landau Lifshitz Texts: Self-Study Guide for Third Year Physics Students

    I am very interested in self study from these texts, the 10 volume set. I am a third year physics student. How approachable are these texts?
  47. T

    Landau fluid mechanics- mathematical passage

    In the book about fluid-mechanics Landau in the first pages in the isentropic case from dw=\frac{dp}{\rho} deduces \nabla w=\frac{\nabla p}{\rho} but I can't understand... in its derivation dw and dp are material differential (dw=w(x+vdt,t+dt)-w(x,t)) in my view) so writing it...
  48. F

    Landau Notation: Writing Functions in Terms of Other Functions

    I have a rather simple question which requires a direct answer: We have two functions, f(x) and g(x). I know that f(x) << g(x) is the same as f(x) = O(g(x)). But if f(x) >> g(x), how can I write f(x) in terms of g(x) using the one of the four Landau symbols (\Omega, \omega, o, or O)? I...
  49. R

    How Close Are We to Reaching the Landau Pole in QED?

    Has the energy scale (or cutoff) at which the electric charge goes to infinity (the landau pole) been calculated? I sometimes hear that QED has been probed to tiny distance scales, and I was curious how far away we are until we get to distances corresponding to the Landau pole, after which we...
  50. Advent

    Mechanics by Landau: Solving a Lagrangian Problem

    Hi! Just reading the first book by Landau in the theoretical physics course, and I need some guidance about one point (cf. 4, Lagrangian for a free particle.) Notations: L and L' are Lagrangians referred to different inertial frames of reference. e is a element of velocity between L and L'...
Back
Top