Integer and fractional quantum Hall effects: An Introduction

[@antoniorossi7178]

This lecture is so clear and precise. Thanks all of you for loading it.

[@davidwilks7437]

This lecture facilitates my 7th grader I am tutoring in applying Quantum mechanics to quantum computing for his Science project, Excellent resource

[@LimerickJim]

r/Iamverysmart

[@suvratrao2129]

Concise and well-explained, this is brilliant!

[@exciton007]

Brilliant lecture! A hard topic very intuitively explained!

[@17zty]

at 11:36, the wavefunction solution is slightly off, where the exp(-x^2/2lB^2) should also shift the x by xk.

[@brendawilliams8062]

Best wishes to your university. Thankyou

[@lizihutchinson1480]

Great video but who on Earth uses pi for momentum? That threw me until about 40 minutes in where it's labelled.

[@zhiqiandu3110]

To distinguish from regular sense momentum that does not contain magnetic field. pi the canonical momentum is conserved, p is not

[@sotirists990]

lol same. this should be considered a physics crime!

[@casey7411]

It's pretty standard notation in the field @@sotirists990

[@muhahaha153]

I don't really gt the argument at 19:14. Since the energy goes with the zyclotron frequency which stays the same no matter if the electrons only do half a cirlce. I don't understand how this explains the higher energies of the electrons in the edge states. I think it comes from the high potential, such that the electron gains potential energy but cannot lose kinetic energy since this is quantised as E_n=h_bar*omega_c*(n+1/2)

[@SquashyPan]

at around 13:00 , in the orthogonality condition, there is a minus sign missing at the exponential

[@chenerrera9158]

Thank you so much for this video! Well explained

[@helgsig]

M.A. Paalanen's paper was published in PRB, not PRL @ 23:18

[@arbab64]

How one finds the width of the plateau for each quantum number? Any formula that determines it?

[@jxchtajxbt53]

@48.52: I think the second case with 4 flux quanta and 2 electrons the fractional charge is 2/3 e .

[@skilstopaybils4014]

I had to look up the meaning of 'intuitive' after this lecture.

[@andremoreira2674]

Something that sounds logical or more probable.

[@danthewalsh]

What is the physical justification for choosing periodic boundary conditions along y (aside from mathematical convenience)? Why should the phase at the front of the sample have anything to do with the phase at the back? I don't see why there would physically be any quantization condition here, unless (say) the sample is formed into a ring, or perhaps if the magnetic field ends abruptly on either end of the sample.

[@SporeSpood]

This is done very often in solid state physics, the boundary effects are ignored when we do this but in the bulk where you are measuring the boundary does not really matter.

[@heisenhair]

The orthogonality condition is what matters: How can we set boundary conditions for the wavefunction at y = 0 and y = L, so that we only consider mutually orthogonal wavefunctions? The standard trick used here is to apply periodic boundary conditions. This is an easy way to guarantee that any two wavefunctions will be orthogonal.

[@XuanNguyen-le6xg]

so touching for an excellent video

[@danielyue3474]

Still don't understand why the Fermi energy can be in the n-th gap.

[@jacoblee7689]

Such a great lecture!

[@yangYang-df2zy]

The wave function and the neighboring xk and xq are fucking helpful!!!

[@marcofsw]

44:40, is it useful to think of the Coulomb minimization as the electrons "spinning in sync", so that they stay as far away from each other during the "revolutions"? Wouldn't that cause some kind of resonance effect?

[@brendawilliams8062]

125 divided by 11390625 in regards to 729 throws many wild cards

[@euanrjb9161]

This is interesting. Didn't understand a word of it but still...

[@qianhe3420]

excellent lecture!

[@evaschmid2583]

Thanks! Interesting and funny!

[@markfrost9826]

This is so interesting Thank you

[@iswarprasadkoirala1229]

Nice lecture

[@brendawilliams8062]

It’s been hanging around for nine years with merit

[@michaelduke1405]

The diaphragm on your microphone is busted. That is causing your output to vibrate. and crackle.

[@AppleberrySmith]

Is that... comic sans?!?!

[@annankldun4040]

pretty dumb to not show WHERE he is pointing with his laser

[@keithaprilrovero7955]

당신이 판촉하는 항목을 구입하는 방법

[@hunghoanghunghoang8953]

the sound is not good I am quite disappointed

[@4pharaoh]

Fine lecture, however… I assume the making of the video was a last second decision, since clearly there was no thought, planning, time or a single dollar spent on this. Far better production values have come from people doing cat videos . Come on please, act like you care.

[@RegistroDomini-l3y]

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[@manhpham4807]

so touching for an excellent video

[@naslunnaslun884]

the sound is not good I am quite disappointed

[@acildwiersa8593]

the sound is not good I am quite disappointed

[@thelmagwein7686]

the sound is not good I am quite disappointed