Recent content by camron_m21

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    Potential at center of polyhedron = average of potential on surface

    I think I figured it out; I reread the section in Jackson on Green's functions. I won't write out the full solution, but the general way to solve this is to use the Dirichlet formula, and to break up the surface integral into a sum over all the individual faces. Then realize that G(0,x') is the...
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    Potential at center of polyhedron = average of potential on surface

    Homework Statement A closed volume is bounded by conducting surfaces that are the n sides of a regular polyhedron (n = 4,6,8,...). The n surfaces are at different potentials Vi, i = 1,2,3,...,n. Prove that the potential at the center of the polyhedron is the average of the potential on the n...
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    Recommended Semiconductor Optics Textbook

    I'm looking for a good semiconductor optics textbook. I have Klingshirn's text, which has problems, but no solutions. As I'm using the textbook outside of university, I need solutions to problems, since I won't know if I'm right or wrong otherwise. I've also looked into Semiconductor Optics and...
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    Free particle in Minkowski spacetime

    I was getting confused on this one as well; it seemed too easy. My solution turned out to be: t = τγ, and x = Vτ/γ, by using dx/dt = γ dx/dτ. Hopefully this is correct, helpful, or both.
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    Mathematica Mathematica: Putting an expression in terms of a specific variable

    My problem is this: I have an algebraic expression, and I want to express it in terms of one variable divided by another. It's a fairly large expression, and I'd like to do it in mathematica before attempting it by hand. I've tried Simplify, FullSimplify and Solve, but none of these have done...
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    Intro Quantum: Expanding infinite square well

    Yeah, sorry about that, that was just the formula for the general infinite square well. The formula I used replaces a with 2a, except in the t=0 function.
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    Intro Quantum: Expanding infinite square well

    Scratch that, I figured it out. For anyone else stuck on this, calculate c_{n} the regular way, but use [0,a] for the integration bounds rather than [0,2a], since the initial function at t=0 is 0 for x > a.
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    Intro Quantum: Expanding infinite square well

    Homework Statement Griffiths Intro to Quantum, problem 2.38: A particle of mass m is in the ground state of the infinite square well. Suddenly the well expands to twice its original size: the right wall moving from a to 2a, leaving the wave function (momentarily) undisturbed. The energy of...