Recent content by Oreith

  1. O

    Fourier Series of a step function

    I'm sorry but I don't really see that?
  2. O

    Fourier Series of a step function

    Thanks! Is the choice completely arbitrary for the complex exponential Fourier Series since it has both sine and cosine components?
  3. O

    Fourier Series of a step function

    My function is only defined for 0 < x < 4. To make it periodic does my function become: f(x)=\left\{\begin{array}{cc} 0,&\mbox{ if } -4< x < -2\\ 1,&\mbox{ if } -2< x < 0\\ 0,&\mbox{ if } 0< x < 2\\1, & \mbox{ if } 2<x<4\end{array}\right.
  4. O

    Fourier Series of a step function

    I see, is this symmetrisation of the interval around x = 0 always necessary or does it depend on f(x)?
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    Fourier Series of a step function

    Homework Statement [/B] f(x)=\left\{\begin{array}{cc}0,&\mbox{ if } 0< x < 2\\1, & \mbox{ if } 2<x<4\end{array}\right. Show that the Cosine Fourier Series of f(x) for the range [0,4] is given by: A + B\sum^{\infty}_{n=0}\frac{(-1)^n}{(2m+1)}cos(\frac{(2m +1) \pi x}{2}) Homework Equations...
  6. O

    Graduate Pion Decay into Tau and Tau Neutrino: Energy Considerations

    This may be a silly question, but what prevents the decay of a Pion into a (anti) Tau and (anti)Tau neutrino. I can see the process for the electron but not for the tau.
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    Is f(q1, p1) an Integral of Motion in This Hamiltonian System?

    I have now, thanks =)
  8. O

    Is f(q1, p1) an Integral of Motion in This Hamiltonian System?

    I am stuck on a proof. I need to show that if a Hamiltonian only depends on q1 and p1 though a function f(q_1,p_1), that is; H(f(q_1, p_1), q_2, p_2, q_3, p_3, ... q_n, p_n) then f(q_1, p_1) is an integral of motion. My attempt at a solution is as rather simplistic but I'm stuck making the...