Recent content by hula

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    Graduate Inverse Fourier Transform of X(w): Real Values for x(t)

    I've found an answer from a book which states that x(t) = -2/hbar*heaviside(t)*sin(t/hbar*Ek)*exp(-2*pi/T2*t) I'm wondering how to get this answer, because it's a bit different from what I got from MATLAB (the difference is that the solution obtained from the book is in real values, and...
  2. H

    Graduate Inverse Fourier Transform of X(w): Real Values for x(t)

    X(w) = 1/(j*(w*hbar-Ek)+(hbar/T2)) - 1/(j*(w*hbar+Ek)+(hbar/T2)) The inverse Fourier transform of the above equation using MATLAB will obtain the following: x(t) = 2*j/hbar*heaviside(t)*sin(t/hbar*Ek)*exp(-t/T2) We can see that the values of x(t) are all imaginary values, however this...
  3. H

    Graduate Inverse Fourier Transform: Impact on Integration Limits

    an equation involves an integration. After an inverse Fourier transform of the equation, will the integration limits change? (maybe you can take a look at the attached file) Thanks!