### Author Topic: HA7-P4  (Read 2413 times)

#### Victor Ivrii

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##### HA7-P4
« on: November 01, 2015, 05:10:06 PM »

#### Yumeng Wang

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##### Re: HA7-P4
« Reply #1 on: November 04, 2015, 04:46:40 PM »
Solution for a(i) is attached. Please correct me if I am wrong.

#### Yumeng Wang

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##### Re: HA7-P4
« Reply #2 on: November 04, 2015, 04:54:46 PM »
a(ii)

#### Yumeng Wang

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##### Re: HA7-P4
« Reply #3 on: November 04, 2015, 05:05:43 PM »
Whole solution for part b is attached.

#### Yeming Wen

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##### Re: HA7-P4
« Reply #4 on: November 05, 2015, 04:20:34 PM »
Solution for a(i) is attached. Please correct me if I am wrong.

Maybe the transform for $e^{-\frac{ax^2}{2}}$ should be $\sqrt{\frac{2\pi}{a}}e^{-\frac{k^2}{2a}}$ instead of $\sqrt{\frac{2\pi}{a}}e^{-\frac{ak^2}{2}}$?

#### Victor Ivrii

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##### Re: HA7-P4
« Reply #5 on: November 05, 2015, 04:25:43 PM »
Maybe the transform for $e^{-\frac{ax^2}{2}}$ should be $\sqrt{\frac{2\pi}{a}}e^{-\frac{k^2}{2a}}$ instead of $\sqrt{\frac{2\pi}{a}}e^{-\frac{ak^2}{2}}$?
Indeed

#### Yumeng Wang

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##### Re: HA7-P4
« Reply #6 on: November 05, 2015, 04:49:45 PM »
I think I am also wrong for part d. But general formula is right, just do derivative to get final answer.