Okay, an ##N## dimensional space is a lot bigger than a one dimensional space, to be clear (##N## is the number of degenerate eigenstates). That was my point in the post, I apologize if that was unclear. I was answering the question of OP's, which was "Why can't I use |2(0)⟩ and...
In ordinary, non-degenerate perturbation theory, the first order correction to the state is given by $$|n^{(1)}\rangle = -\sum_{k \not = n}\frac {|k^{(0)}\rangle H'_{kn}}{E^{(0)}_k -E^{(0)}_n}$$ where ##H'_kn =\langle k^{(0)}|H'|n^{(0)}\rangle##. You can see that if two or more eigenvalues are...
Thanks for the recommendation. I found Schwartz to be a little difficult to understand, particularly the section on capacitance, but I haven't read much beyond that to be honest.
Thank you for your recommendation. The outcome I desire is to learn and enjoy the physics that interests me, and I don't think you have enough information to judge whether I'll reach those goals or not. Whether the specific goal is QED, the classical theory of radiation, etc, I intend to learn...
Thanks everyone for the recommendations. I think I might go with Feynman, supplemented by Franklin's Classical Electromagnetism or Fulvio Melia's Electrodynamics, as both seem pretty good.
Look, I'm not trying to spend $90+ on a book that can hardly be read. I've heard terrible things about that book, which doesn't make me too keen on using it to learn a subject that I'm already struggling to learn. I am asking to recommend a book that people generally like and can generally learn...
From what I just gathered, undergrad E&M uses Griffiths, graduate uses Jackson, Landau & Lifshitz, and Schwinger. I've heard bad things about Feynman, particularly that I won't learn to solve any problems. Is Feynman together with a problem book a good strategy?
I haven't read it and don't intend to because it has a reputation of being a pedagogical nightmare and I'm not going to waste my money on something like that.
I'm currently studying quantum mechanics from MIT opencourseware, just about to finish 8.05, quantum physics 2. I have little knowledge of electrodynamics, but I want to learn enough to be comfortable studying quantum electrodynamics in the future. My math background is pretty strong, so I've...
No, that is the transformation law for the metric, what I have is the coordinate representation of the pull back of the metric by the conformal transformation.
Conformal field theory is way over my head at the moment, but I decided to "dip my toes into it," and I watched a little video talking about conformal transformations. Now, I know that in a conformal transformation, $$x^\mu \to x'^\mu ,$$ the metric must satisfy $$\Lambda (x) g_{\mu \nu} =...