Uploaded September 2016 | Updated September 2026, 2 weeks ago
The wave-particle duality seems to used all the time to explain quantum mechanics to the public, but it is one of my pet peeves. It represents an outmoded way of thinking (old quantum theory), which is replaced by our current understanding of the wavefunction (new quantum theory). I explain how to use the wavefunction to explain one of the most important experiments in quantum mechanics: the double slit experiment.
Update on my life: I'm going to start a PhD! Same place as the masters, on quantum computing. Very very excited. But don't worry, I'm determined to make time for this channel throughout my remaining studies. In fact, expect some videos on quantum comp in the not too distant future (well, at least not too distant compared to the time scales I work on. Don't hold your breath or anything. That will end badly).
Understanding Quantum Mechanics series: https://www.youtube.com/playlist?list...
The wave-particle duality seems to used all the time to explain quantum mechanics to the public, but it is one of my pet peeves. It represents an outmoded way of thinking (old quantum theory), which is replaced by our current understanding of the wavefunction (new quantum theory). I explain how to use the wavefunction to explain one of the most important experiments in quantum mechanics: the double slit experiment.
Update on my life: I'm going to start a PhD! Same place as the masters, on quantum computing. Very very excited. But don't worry, I'm determined to make time for this channel throughout my remaining studies. In fact, expect some videos on quantum comp in the not too distant future (well, at least not too distant compared to the time scales I work on. Don't hold your breath or anything. That will end badly).
Understanding Quantum Mechanics series: https://www.youtube.com/playlist?list...









![Fourier Series
Fourier transform: https://youtu.be/Xxut2PN-V8Q
In this video, I explain what the Fourier series does, and why it is one of the most surprising results in mathematics.
All the plotted graphs in this video were done in Mathematica. If you dont have the program then you can use the free internet version called Wolfram Alpha. To find the nth order Fourier series of f(x) in either of these, use: FourierTrigSeries[f(x),x,n] or FourierSeries[f(x),x,n] for the exponential version.
If you want to know how to do something more specific (for example code up the Cantor function) then let me know, Ill send it to you. Thank me later when youre spending all your free time plotting graphs.
And finally if you want to see an application of this stuff, this was the first ever application:
http://en.wikipedia.org/wiki/Heat_equation#Solving_the_heat_equation_using_Fourier_series Fourier Series](https://i.ytimg.com/vi/kP02nBNtjrU/mqdefault.jpg)
