Fourier transforms and delta functions

[@CARLOSSAA-y6f]

Professor Zwiebach, an angel from Heaven to help the mathematically and "physics-cally" destitute. Absolutely great lecturer

[@yulinhu9087]

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]

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]

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]

Very clear explanation and great quality!

[@BlackStarSeries]

Fo sho!

[@ozzyfromspace]

Thank you! This was VERY clear, 15 minutes well spent! 😊🙌🏽😁

[@gurbakshsingh1364]

been following you from 18.06! Good Work man!

[@leophysics]

If I ever be a professor I will try my best to dedicate myself like him ..

[@midhunnair1344]

Benedict Cumberbatch

[@ennamnazir2151]

Yeah i was wondering that professor looks like somebody.

[@rahuldhungel]

Harrison Ford, the Blade Runner ☺️

[@brainstormingsharing1309]

Absolutely well done and definitely keep it up!!! 👍👍👍👍👍

[@yacinebendaamouche19]

Thanks a lot for the explanation

[@boxuanshi1100]

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...

[@tayyabahaider3872]

Thank you

[@not_amanullah]

Thanks ❤️🤍

[@hirvi1910]

Thank you, it's great explanation

[@cafe-tomate]

I don't see how this still holds for the temporal Ψ ...

[@not_amanullah]

This is helpful ❤️🤍

[@yyc3491]

13:32 why it is an absolute value '|a|' rather than 'a' ?

[@yyc3491]

Don't mind this question. Now I understand it.

[@Krish_202]

​@@yyc3491 btw why ?

[@cafe-tomate]

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]

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]

Great intuition but not very rigorous.

[@farooq8897]

kzbin.info/aero/PL1955A15B7F282A7F

[@anmolsubba7394]

Hahahahaha Umar Farooq Shaik

[@mohammadabdulla8601]

@@farooq8897 It can get even more complicated 🤣🤣🤣🤣

[@farooq8897]

@@mohammadabdulla8601 I know..!

[@frankthetank130]

@X X not here to discuss the point of *a* lecture just pointing out a fact about *this* lecture.