Fourier transforms and delta functions

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MIT OpenCourseWare

MIT OpenCourseWare

Күн бұрын

Пікірлер: 32
@CARLOSSAA-y6f
@CARLOSSAA-y6f 6 жыл бұрын
Professor Zwiebach, an angel from Heaven to help the mathematically and "physics-cally" destitute. Absolutely great lecturer
@yulinhu9087
@yulinhu9087 4 жыл бұрын
All the respect in the world to professor Barton Zwiebach, one of the greatest lecturers I have ever seen, thanks for the inspiration from this short 14 mins clip that helped me finish my homework.
@RadoslavFicko
@RadoslavFicko Жыл бұрын
The Dirac distribution is the Fourier transform of unity and a special case of convolution, where A*f=g, g(x)=d(x-y). f(y)dy , if we imagine the gravitational interaction as a function of g(x) and the electromagnetic interaction as a function of f(y), then these forces (i.e. the lines of force) only interact when x is equal to y ( the Dirac impulse).
@SeverSpanulescu
@SeverSpanulescu 2 жыл бұрын
Very well explained! However, you should mention at 9:20 that we may use the well-known sampling property of the Dirac function (known also as the shifting property). This is why that "strange integral" must equal δ().
@NotronSkillz
@NotronSkillz 6 жыл бұрын
Very clear explanation and great quality!
@BlackStarSeries
@BlackStarSeries 6 жыл бұрын
Fo sho!
@leophysics
@leophysics 3 жыл бұрын
If I ever be a professor I will try my best to dedicate myself like him ..
@midhunnair1344
@midhunnair1344 6 жыл бұрын
Benedict Cumberbatch
@ennamnazir2151
@ennamnazir2151 4 жыл бұрын
Yeah i was wondering that professor looks like somebody.
@rahuldhungel
@rahuldhungel 3 жыл бұрын
Harrison Ford, the Blade Runner ☺️
@ozzyfromspace
@ozzyfromspace 4 жыл бұрын
Thank you! This was VERY clear, 15 minutes well spent! 😊🙌🏽😁
@gurbakshsingh1364
@gurbakshsingh1364 4 жыл бұрын
been following you from 18.06! Good Work man!
@boxuanshi1100
@boxuanshi1100 4 жыл бұрын
but i have a question, which is how that strange integral equals to delta function. I've get an proof by fourier transformation of delta function but then how to prove the fourier transformation? I mean that during the proof of fourier transformtion we have admitted that strange integral is delta function...
@brainstormingsharing1309
@brainstormingsharing1309 3 жыл бұрын
Absolutely well done and definitely keep it up!!! 👍👍👍👍👍
@cafe-tomate
@cafe-tomate 2 жыл бұрын
I don't see how this still holds for the temporal Ψ ...
@tayyabahaider3872
@tayyabahaider3872 6 ай бұрын
Thank you
@not_amanullah
@not_amanullah 3 ай бұрын
Thanks ❤️🤍
@yacinebendaamouche19
@yacinebendaamouche19 6 жыл бұрын
Thanks a lot for the explanation
@hirvi1910
@hirvi1910 4 жыл бұрын
Thank you, it's great explanation
@not_amanullah
@not_amanullah 3 ай бұрын
This is helpful ❤️🤍
@yyc3491
@yyc3491 4 жыл бұрын
13:32 why it is an absolute value '|a|' rather than 'a' ?
@yyc3491
@yyc3491 4 жыл бұрын
Don't mind this question. Now I understand it.
@Krish_202
@Krish_202 Жыл бұрын
​@@yyc3491 btw why ?
@cafe-tomate
@cafe-tomate 2 жыл бұрын
Someone has the name of the math topic he is using to flip the order of the integrals ? I feel it is not very legit
@cafe-tomate
@cafe-tomate 2 жыл бұрын
According to my first year maths class notes (Fubini theorem for babies), we can flip the order of the integrals as far as the two variables function is continuous !
@frankthetank130
@frankthetank130 5 жыл бұрын
Great intuition but not very rigorous.
@farooq8897
@farooq8897 4 жыл бұрын
kzbin.info/aero/PL1955A15B7F282A7F
@anmolsubba7394
@anmolsubba7394 4 жыл бұрын
Hahahahaha Umar Farooq Shaik
@mohammadabdulla8601
@mohammadabdulla8601 4 жыл бұрын
@@farooq8897 It can get even more complicated 🤣🤣🤣🤣
@farooq8897
@farooq8897 4 жыл бұрын
@@mohammadabdulla8601 I know..!
@frankthetank130
@frankthetank130 4 жыл бұрын
@X X not here to discuss the point of *a* lecture just pointing out a fact about *this* lecture.
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