Recent content by Mosis

  1. M

    What can the rest frame of a neutrino possibly mean?

    this thought was inspired by the recent news about FTL neutrinos. of course i suspect their instruments are broken and that no such thing happened, but regardless, the question stands: it's easy to talk about the rest frame of classical objects where the notion of "trajectory" applies and...
  2. M

    MHD equations - confused about derivation

    I am confused about the usual derivation of the ideal magnetohydrodynamic equations, as given for example here: http://theoretical-physics.net/dev/src/fluid-dynamics/mhd.html The problem is that there are a few different "currents" to consider. For example, in the momentum equation, the...
  3. M

    Poincare Conjecture: Understanding & Appreciating the Proof

    hello! i would like to be able to understand and appreciate the proof of the poincare conjecture. i have some idea of where to begin, and my supervisor is going to help me out (i'm starting a master's in pure math and my supervisor does geometric analysis), but i was wondering if anyone here...
  4. M

    Can All Vector Fields Be Represented by the Vector Laplacian?

    why do you think this should be true?
  5. M

    Will I Transfer to UIUC Engineering with a C in Physics?

    I got a 69 in physics 1, and last summer I won a scholarship that granted me a paid internship at the Perimeter Institute for Theoretical Physics + paid for my 4th year tuition costs. don't worry about it ;)
  6. M

    What's Your Spring 2010 Class Lineup?

    Electromagnetic Theory II Differential Geometry Measure Theory and Fourier Analysis Statistical Mechanics Interpretation and Foundations of Quantum Mechanics I'm a 4th year mathematical physics major at the University of Waterloo btw.
  7. M

    Improve Your Memory for Solving Engineering Problems - Tips and Solutions

    Nonsense. I have a "friend" who has a memory better than anyone else I know and yet also smokes more than anyone else I know ;)
  8. M

    How do you get passionate about physics/maths?

    The sooner you lose this attitude, the better. I recommend losing it right now. No matter who you are, your "talent" alone will not be sufficient. What you really need to develop is the habit of working hard. I recommend enrolling in a course in which you can barely succeed having worked your...
  9. M

    Anyone ever work with a DE like this?

    also, I'm not sure why you suggest plotting the solution to that equation - how can that help me?
  10. M

    Anyone ever work with a DE like this?

    why are you assuming Y is positive? also, exp(-r) is convex but decays as r goes to infinity. Of course, it blows up in the other direction, but in my case, Y = Y(r), and r > 0, so I'd really need some information about the first derivative to conclude all nontrivial solutions are unbounded.
  11. M

    Anyone ever work with a DE like this?

    I was thinking about that kind of perturbation scheme, but the fact that we have Y^1/3 makes that intractable i.e. what to do with \left(Y_0 + CY_1\right)^{1/3}?
  12. M

    Anyone ever work with a DE like this?

    wow, 46 views, no reply - is this really that uncommon?
  13. M

    Anyone ever work with a DE like this?

    This has come up in my research, and my supervisor and I don't really know how to proceed. It reads r^2\frac{d^2Y}{dr^2} + r\frac{dY}{dr} - \left(\frac{3}{2}\right)^2Y = Cr^3Y^{1/3} I know the RHS is an equidimensional DE which has the nice solution Y = r^{\pm 3/2}, but I have no idea...
  14. M

    Locally path connected implies path connected

    Homework Statement We say the metric space X is locally path connected (lpc) if all balls are path connected sets. Suppose X is lpc and that E is an open and connected subset of X. Prove that E is path connected. Homework Equations A set is open if every point is an interior point. A...
  15. M

    How Does the Wavefunction Differ for Photons Compared to Electrons?

    a summary of all the information you possesses (and can possess, in principle) about a system *ducks*
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