Jackson Definition and 103 Threads

  1. J

    Classical Griffiths or Jackson for Electrodynamics?

    I'm looking to brush up on my knowledge of electrodynamics and am trying to decide between Jackson and Griffiths. I have a fairly advanced math background and am comfortable with differential geometry, special and general relativity. I'm leaning toward Jackson but wanted to get input from...
  2. F

    A Jackson Sec 2.6 on "general solution" of charge near sphere

    Hi , I'd like a little bit of clarification about Section 2.6 from Jackson's classic book on E & M. Section 2.6 starts out with the problem of a "conducting sphere" near a point charge, but then it confusingly veers away to a problem where potential is prescribed to vary with azimuth and polar...
  3. Luke Tan

    I "Energy Type Functionals" in Jackson

    In section 1.12 Variational Approach to the Solution of the Laplace and Poisson Equations, Jackson mentions that in electrostatics, we can consider "energy type functionals". He gives, for Dirichlet Boundary Conditions, $$I[\psi]=\frac{1}{2}\int_{V}\nabla\psi\cdot\nabla\psi d^3x-\int_{V}g\psi...
  4. qnach

    Jackson Classical Electrodynamics: page 35 expansion of charge

    Could anyone explain how did Jackson obtain the Taylor distribution of charge distribution at the end of section 1.7 (version 3)?
  5. A

    A Solving Jackson's 3rd Ed. Equations Involving A, L and g

    In Jackson, (3rd edition p. 545), there are equations they are given as, $$A = e^L $$ $$det A = det(e^L) = e^{Tr L}$$ $$g\widetilde{A}g = A^{-1} $$ $$ A = e^L , g\widetilde{A}g = e^{{g\widetilde{L}g}} , A^{-1} = e^{-L}$$ $$ g\widetilde{L}g = -L $$ I have several doubts. 1) $$det(e^L) =...
  6. snatchingthepi

    Other Tips for Studying Graduate-Level EM and Statmech with Jackson and Pathria

    So this coming semester I'm taking my first courses in graduate level EM and statmech using Jackson and Pathria. My first term was softer academically, so I've taken the time to review certain mathematical subjects - vector calculus, DEs, and linear algebra. Does anyone have any particular...
  7. P

    Classical Discrepancies in Jackson, 3rd Edition

    I hope this is the right place to ask a question like this! I've seen two different versions of problem 1.14 in the third edition of Jackson's Classical Electrodynamics. Has anyone else noticed this? My friend has two PDF copies of the book, each of which has a different problem 1.14. We...
  8. dRic2

    Studying Preparing for Plasma Physics (Jackson)

    Hi, I've posted here several time because you all gave me very helpful suggestions. Let me recap briefly my situation. I apologize for the very long post. I have BS in chemical engineering but now I'm going through a MS degree in nuclear engineering. Although - given my background - I should...
  9. J

    Classical Using Zangwill for grad E&M instead of Jackson?

    I'm starting a physics PhD program in the fall. I asked a current student what textbooks are used, and was surprised that the textbook for electrodynamics was not Jackson. I got the impression that Jackson was the standard. E.g., My undergraduate institution (a top physics school) uses Jackson...
  10. I

    Jackson E&M: Power loss in waveguides for TE & TM modes

    Hi. I'm having trouble with calculating (8.59) from (8.58) (## \vec H_{//} ## is simply ## \vec H ## in Jackson, but that shouldn't matter.) in Jackson. Specifically I think I'm not sure about parallel component of H field here. For example, shouldn't I have two terms for the...
  11. P

    Courses Review Griffiths E/M before Jackson?

    Hello, I will be starting my junior year this August, I shall be having the dreaded advanced electromagnetism course that follows Jackson's book the coming semester. Unfortunately, I didn't work very hard during my freshman year e/m course (which uses Griffiths' book) and have a few gaps in my...
  12. Ron19932017

    I Why use velocity dispersion in Faber Jackson relation

    Hi all, Recently I am reading some online material about Tully-Fisher relation and Faber-Jackson relation which is describing the dynamical constrain on the mass of spiral/elliptical galaxies. In spiral galaxy, TF relation suggest Luminsoty ≈ (some const) (Vmax)^4 while in elliptical galaxy...
  13. B

    Jackson problem 5.4: Magnetic induction in a current-free region

    Homework Statement Homework EquationsThe Attempt at a Solution I think that is taylor series expansion, How that can be expanded right that? even b0, b1 ... is not a differential term. The solution just use b(z) = Bz(0,z)
  14. B

    Jackson, Problem 5.2 (b); solenoid currents and fields

    Homework Statement Homework EquationsThe Attempt at a Solution These are problem 5.1 (b) and the solution. I understood the gap between each loop is 1/N, but why does each loop have vertical direction current amount of I/N ?? [/B]
  15. A

    Classical Companion book for Electrodynamics by Jackson

    I am studying electrodynamics, in a few more months I have the qualification exam. The guide text is classical electrodynamics, Jackson. I find that book is higher my current level. I have the math tools, but what book do you recommend to use before the Jackson.
  16. R

    A Legendre Polynomials -- Jackson Derivation

    Hello all, I'm reading through Jackson's Classical Electrodynamics book and am working through the derivation of the Legendre polynomials. He uses this ##\alpha## term that seems to complicate the derivation more and is throwing me for a bit of a loop. Jackson assumes the solution is of the...
  17. Angelo Cirino

    I Laplacian in integration by parts in Jackson

    I am reviewing Jackson's "Classical Electromagnetism" and it seems that I need to review vector calculus too. In section 1.11 the equation ##W=-\frac{\epsilon_0}{2}\int \Phi\mathbf \nabla^2\Phi d^3x## through an integration by parts leads to equation 1.54 ##W=\frac{\epsilon_0}{2}\int |\mathbf...
  18. S

    Classical Purcell to Jackson: Is Griffith's Electrodynamics a Good Next Step?

    I heard that Griffith's Electrodynamics is at a similar level of Purcell's book on electricity; is it fine if someone goes into a graduate level electrodynamics book right after Purcell?
  19. P

    Jackson 3.7 Three point charges (q,−2q,q) are located in ....

    Homework Statement Hi, The question is " Three point charges (q,−2q,q) are located in a straight line with separation a and with the middle charge (−2q) at the origin of a grounded conducting spherical shell of radius b ..." I have found a solution for this problem but there is one step that...
  20. qnach

    Jackson classical electrodynamics section 9-6

    I am not sure what does Jackson want to talk in section 9-6? Is that just a review of something discussed previously? Chapter 9 is talking about radiation, and later about multipole expansion.
  21. Telemachus

    Remembering J. D. Jackson: A Tribute to a Physics Legend

    Sad day for science. I've used Jackson's Classical Electrodynamics as an undergraduate student. I had the feeling that it was kind of poetry, the whole composition of that book. Here it is: https://telescoper.wordpress.com/2016/05/23/r-i-p-john-david-jackson-1925-2016/
  22. qnach

    Why does the linear antenna radiate at k^2?

    I am reading Jackson's book on classical electrodynamics. It said in page 412 to 415 (3rd edition) that the total power radiated by a dipole is proportional to k^4 (equation 9.24) quadrupole is proportional to k^6 (equation 9.49) But why does the linear antenna at page 412, which is a dipole...
  23. Andreol263

    Classical Classical Eletrodynamics, Jackson

    I've started reading the book on the title, but exists so fuzz here about this book and it's scared me a bit, I'm in the middle of chapter 2 right now, and nothing difficult appeared to me in this moment, what are the requeriments to read this book smothly until the end?
  24. H

    Classical How many problems to do from Jackson EM?

    Ideally one would want to do every problem in the book. However, the problems just take too much time and I was wondering if anyone had a recommended problem sets that tests the essentials of each chapter. I am self-studying from the book and feel some problems are overkill. Thanks
  25. hideelo

    Q about Poisson eqn w/ Neumann boundary conditions as in Jackson

    I am reading Jackson Electrodynamics (section 1.10 in 3rd edition) and he is discussing the Poisson eqn $$\nabla^2 \Phi = -\rho / \epsilon_0$$ defined on some finite volume V, the solution using Greens theorem is $$\Phi (x) = \frac{1}{4 \pi \epsilon_0} \int_V G(x,x') \rho(x')d^3x' +\frac{1}{4...
  26. P

    Jackson Problem 3.12/3.18 -- Electric potential near two plates

    Homework Statement I need to solve a problem like Jackson 3.18. I need to find potential due to the same configuration but the position of two plates is opposite i.e. Plate at Z=0 contains disc with potential V and plate at Z=0 is grounded. Homework EquationsThe Attempt at a Solution I think...
  27. N

    Jackson 1.12 & 1.13: Prove Thomson's & Insulated Conductor Theorem

    Homework Statement 1.12 - Prove Thomson's theorem : If a number of conducting surfaces are fixed in position and a given total charge is placed on each surface, then the electrostatic energy in the region bounded by the surfaces is a minimum when the charges are placed so that every surface...
  28. K

    Classical EM Course Choices: Jackson or Schwinger?

    So, I'm taking a graduate course on EM and I don't know which textbook to take: Jackson's book or Schwinger's? Any suggestions?
  29. Mr. Rho

    Question about mathematical equality

    Hi there, I am reading Chapter 9 of Jackson Classic Electrodynamics 3rd edition, and I don't see why this equality is true, it says "integrating by parts", but I still don't know... any help? http://imageshack.com/a/img673/9201/4WYcXs.png
  30. moriheru

    Will Peter Jackson Adapt Tolkien's Silmarillion for the Big Screen?

    Does anybody know if Peter Jackson intends on making a film on the silmarillion or other works of Tolkien that have no relation to middle earth, as rare as they are?
  31. WannabeNewton

    Zangwill vs. Jackson: Comparing Textbooks for Advanced EM

    Hi guys. Zangwill's book on advanced EM, https://www.amazon.com/dp/0521896975/?tag=pfamazon01-20, looks to be a masterfully pedagogical and extremely well-written book on the subject. It has tons of non-trivial worked examples and applications in every section of each chapter, is quite thorough...
  32. T

    Jackson network in steady state

    Homework Statement Consider a network of n queues with a Poisson arrival process of parameter t from outside the network, and independent exponentially distributed service times of parameters r1 to rn. Customer that first arrived to the network initially join queue i with probability Pi...
  33. H

    Supplement to Jackson (also, 2nd vs 3rd Ed.)

    I am about to start using Jackson E&M, and I have consistently heard that it is a notoriously difficult textbook to use. Does anyone know of some good resources, textbooks or otherwise, to supplement it (other than Griffiths, which I already have)? More specifically, I have been told that the...
  34. M

    Jackson - Electrodynamics guidance (for the ones who used it)

    How did Jackson arrange his set of problems in this famous book Electrodynamics? I mean, does he move according to the course? Or the problems are mixed up?
  35. W

    So I'm going to take Jackson in the fall.

    I've heard many horror stories. Any tips? Any specific parts of Griffiths I should be extra keen on? Is the answer...*sigh*... "all of it backwards and forwards"?
  36. Greg Bernhardt

    Classical Classical Electrodynamics by John David Jackson

    Author: John David Jackson Title: Classical Electrodynamics Amazon Link: https://www.amazon.com/dp/047130932X/?tag=pfamazon01-20 Prerequisities: Contents:
  37. shounakbhatta

    Faber-Jackson Relation: Explained | Shounak

    Hello, What does the Faber Jackson relation tells? Does it establish the relation between: higher the Luminosity, higher the velocity dispersion? Does it calculate in Elliptical galaxies? What does Tully-Fisher relation explains? -- Shounak
  38. L

    How best to prepare for Jackson E&M?

    Hello all, Long story short, I am taking E&M course that uses Jackson, but in undergrad I only took 1 quarter of E&M (electrostatics). With classes about a month away, what would a good way to prepare. I realize that it is not enough time, but I figured some prep would be better that nothing...
  39. B

    Jackson Electrodynamics syllabus

    Hi Everyone, I'm trying to go through Jackson this summer after having finished Griffith. However, it doesn't seem feasible to do all the problems in Jackson. So I'm wondering if any of you have a electrodynamics syllabus (with problems number on it) with Jackson's book and can give me the...
  40. T

    Reading through Jackson: Gauss Theorem

    Homework Statement I'm reading through Jackson and ran into the following: An application of Gauss's theorem to ∇'^{2}G=-4πδ(x-x') shows that \oint(\partialG/\partialn')da'= -4∏ where G is a Green function given by 1/|x-x'| + F, and F is a function whose Laplacian is zero. (Sec. 1.10...
  41. C

    Schwartz vs. Jackson: Comparing EM Textbooks for Graduate Studies

    My M.S. school is using Schwartz for EM instead of Jackson. I've heard horror stories about Jackson so I'm very happy at this news right now. However, does this mean I'm "missing out" and would need to do Jackson for a 2nd round of EM if I were to go to PhD in Physics at a different school that...
  42. N

    No graduate level electromagnetism? (Oh Jackson where art thou)

    Next year I'm doing the one year master program at Perimeter Institute, and I was surprised to realize that there is no grad-level electrodynamics class (level Jackson, I would suppose?). I then checked the Math Tripos III (applied math, aka theoretical physics) course list (where I also...
  43. R

    Electrostatic interaction energy example (jackson)

    Homework Statement I am trying to follow a derivation in Jackson - Classical ElectrodynamicsHomework Equations In equation 1.58 (2nd/3rd edition) of Jackson - Classical Electrodynamics he says that by using the fact that \mathbf{\rho} \cdot (\mathbf{\rho} +\mathbf{n})/ | \mathbf{\rho +n|}^{3}...
  44. Demon117

    Orthogonality of Legendre Polynomials from Jackson

    Hello all! I am trying to work through and understand the derivation of the Legendre Polynomials from Jackson's Classical electrodynamics. I have reached a part that I cannot get through however. Jackson starts with the following orthogonality statement and jumps (as it seems) in his proof...
  45. C

    Books to help with math in Jackson and group theory

    So I'm currently self-studying Jackson's Electrodynamics. The math for my undergrad physics was no problem at all for me as I had a strong background in DEs, PDEs, linear algebra, etc. I haven't looked too much into Jackson so far, but it seems I'm having the most difficulty is just keeping up...
  46. W

    Even Hitler rants about Jackson EM book

    Guys, I found this Downfall parody video about how much Hitler hates Jackson EM book: Apparently, even he can't stand Jackson after one full semester of EM course. :D
  47. G

    Current Density of Circular Current Loop (Jackson)

    Hi, I was reading through Jackson's Electrodynamics trying to reason through example 5.5 for the vector potential of a circular current loop of radius a centered at the origin. I pretty much understand everything except when he defines the current density as J_{\phi} = I\sin \theta'...
  48. B

    Solving the Mystery of the 2: JD Jackson on Classical Electrodynamics

    On page 60 of his 3rd edition of Classical Electrodynamics, he discusses the method of images applied to a grounded conducting sphere with a single charge q outside it. Near the end of the problem, he calculates the force on a small patch of area da as (sigma^2/2epsilon_nought)da. Now, it...
  49. Y

    Math topics I need to study JD Jackson Classical Electrodynamics.

    I was told by a friend that I need to study Complex Analysis, Introduction to Analysis on top of PDE. My highest level of math is only PDE. I want to know what other math topics I need for self study in JD Jackson. I know people go to school will have instructor teaching the math in the...
  50. Y

    Need to find an EM book between Griffiths and Jackson.

    I am a self studyer and I studied "Field and Wave Electromagnetics" by David K Cheng and "Introduction to Electrodynamics" by david Griffiths. Cheng is more for EE where it put a lot of effort in phasor, transmission lines, Smith Chart. Griffiths is more on the physics side that cover in more...
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