Recent content by jnazor

  1. J

    How can the method of residues be used to solve integrals?

    don't worry i worked it out. I didn't solve the quartic properly to get the poles before. I got my 4 poles two of which I am parts are more than 0. I evaluated the residues at those two poles and got the value. Since it's even I can divide that number by two to get the integral from 0 to inf...
  2. J

    How can the method of residues be used to solve integrals?

    [SOLVED] Integral using residues Homework Statement Show integral of 1/(x^4+x^2+1) from 0 to infinity equals (pi*sqrt(3))/6 using method of residues Homework Equations The Attempt at a Solution Tried to solve x^4+x^2+1=0. Don't get very useful numbers for poles.
  3. J

    Are the Eigenvalues of a Unitary Operator of the Form e^i(a)?

    Sorry I've never heard of isometry or the name spectral equation. I just know it as the eigenvalue equation.
  4. J

    Are the Eigenvalues of a Unitary Operator of the Form e^i(a)?

    Homework Statement A unitary operator U has the property U(U+)=(U+)U=I [where U+ is U dagger and I is the identity operator] Prove that the eigenvalues of a unitary operator are of the form e^i(a) with a being real. NB: I haven't been taught dirac notation yet. Is there a way i can do...