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Home Assignment Y / Re: Problem 1
« on: November 11, 2012, 11:39:44 PM »In the last line, shouldn't the power to the second exponential be ikx instead of iky?
Yes, I think it is a small typo
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Yes, I think it is a small typo
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Home Assignment 6 / Re: Problem 2
« on: November 06, 2012, 06:11:27 PM »
I think I'm on the wrong track or this question just doesn't seem to be integrable!
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Home Assignment 6 / Re: Problem 1--simplified
« on: November 04, 2012, 07:04:04 PM »Does the condition "beta>0" matter in this question? Since it doesn't really enter the integral evaluation.
No, it does not (you may guess why).
We are worried about the possibility of the definite integrals values go to infinity.
When we evaluate the definite integrals, only the sign of the real part (alpha) matters, since beta is timed by i, its sign doesn't matter.
But then again, I think it's necessary to impose condition alpha and beta belongs to R
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Home Assignment 6 / Re: Problem 1--simplified
« on: November 04, 2012, 06:40:54 PM »
Does the condition "beta>0" matter in this question? Since it doesn't really enter the integral evaluation.
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Home Assignment 6 / Re: Problem 1--simplified
« on: November 04, 2012, 05:59:43 PM »
Sorry 
Also, just to clarify, the 1/2pi term in front of FT could be a part of either Fourier integral or Fourier transform, where should we usually put it?
Also, just to clarify, the 1/2pi term in front of FT could be a part of either Fourier integral or Fourier transform, where should we usually put it?
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Home Assignment 6 / Re: Problem 1--simplified
« on: November 04, 2012, 05:34:18 PM »
In part b and d, Does it matter if we change the trig into its complex form?
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Home Assignment 5 / Re: Problem 1
« on: October 30, 2012, 07:22:56 PM »
In part a and b, does the word "exceptional" just mean where the expansion is not defined?
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