Recent content by poophead

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    Help with Griffiths Electrodynamics

    How is Griffiths as a prof anyway? It's kind of cool having him be your professor... he's pretty much cornered the undergrad physics textbook market on QM ad E&M I think. I'm glad John David Jackson is retired though. I wouldn't want to take E&M from him! (That is, if I only wanted a high...
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    How Do Electric Fields Interact at Specific Points on the Y-Axis?

    You should ask yourself: what is the unit vector, r-hat, that points from the point charge to the coordinate in consideration? IE, for one point charge, what is the unit vector that points from (1.06, 0) to (0, 0.48)? Knowing this, you can express the unit vector r, in terms of cartesian...
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    How Do Electric Fields Interact at Specific Points on the Y-Axis?

    Both charges are positive. The electric field equation is given by Kq/r^2 * r-hat, which is a unit vector pointing radially away from the charge. If you draw a picture of the two e-fields, you'll see that the components don't add exactly (in fact, the x components cancel out), so you need...
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    Multipole moments using spherical harmonics

    Hello, My question is fairly simple. My instructor solved in class today Laplace's equation in spherical coordinates which resulted in spherical harmonics. I have not taken any quantum mechanics yet so this is my first exposure to spherical harmonics. What do the "l" and "m" terms in the...
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    Math Newb Wants to know what a Tensor is

    Ohhh... excellent. Thanks for the explanation, it's all starting to make sense now. :smile: EDIT: Oops, I had just one more question. What the heck is T^{\mu\nu} ? How exactly is that different from T^\mu_{\ \nu}? Are they basically the same thing or are we talking about differences...
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    Math Newb Wants to know what a Tensor is

    I'm a bit confused now about the commutivity (if such a thing exists) of tensors. I think part of my confusion stems from my lack of familiarity with this summation notation. For matrices, I know that AB != BA but what about for tensors? More specifically, I'm curious about when indices...
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    How do I prove that d^u(phi) is a contravariant 4-vector?

    Thanks a lot. I shall ponder on it some more.
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    How do I prove that d^u(phi) is a contravariant 4-vector?

    Thank you jcsd for your speedy replies and I apologize for taking up your time with my inexperience. I did express it all with the chain rule but ultimately, I'm still confused as to how this end result gives the proof I desire. After all, I'm concerned about \frac{\partial}{\partial...
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    How do I prove that d^u(phi) is a contravariant 4-vector?

    I'm sorry, I'm being dense. I still do not understand exactly how showing the relationship you stated above would show that \frac{\partial}{\partial x_{\mu}}} \phi would give me a contravariant 4-vector. From: x^{\prime\mu} = \Lambda^\mu_{ \ \nu} x^\nu I can sort of see that...
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    How do I prove that d^u(phi) is a contravariant 4-vector?

    I'm going to be completely unambiguous on this: the problem I am about to ask is an assigned homework problem so please, do NOT simply just reply with the answer. I have no intention to cheat. That said, the question I have is with regards to problem 12.55 in Griffith's Intro to...
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