The CRAZIEST Quantum Effect You Haven't Heard Of | The Aharonov-Bohm Effect Explained

In this video, we dive into one of the most mind-bending phenomena in quantum mechanics: the Aharonov-Bohm effect. Discover how electrons behave in bizarre ways when influenced by magnetic fields, even in regions where the field is zero. This surprising quantum behavior challenges our classical intuitions and highlights the strange nature of the quantum world.
What You'll Learn:
- How the Aharonov-Bohm effect modifies the classic double-slit experiment and introduces magnetic fields
- The role of the vector potential in describing magnetic fields and its implications in quantum mechanics.
- How the Schrödinger equation is used to model electrons in magnetic fields.
- How the vector potential can be non-zero even in the absence of magnetic fields.
- How a far-away magnetic field can influence electrons.
If you have any questions or thoughts, drop them in the comments below! Don’t forget to like, share, and subscribe for more in-depth explorations of quantum phenomena.
Timestamps:
00:00 Intro
01:06 Double Slit Interference
01:53 The Experiment
03:40 Unraveling the Mystery
04:50 Mastering Magnets
06:12 Divergence and Curl
08:20 Vector Potential
10:35 Exploring Electrons
12:09 Schrödinger equation
15:03 The Synthesis
22:34 The Conclusion
25:06 A Puzzling Puzzle
Extras:
- A useful note on minimal coupling (Schrödinger equation for magnetic fields): physics.stackexchange.com/q/5...
Note that in the video, the field Φ in the above answer has been chosen to be 0 for simplicity, which is permitted due to gauge invariance.
#quantummechanics #AharonovBohmEffect #Physics #ScienceExplained #QuantumPhysics

Пікірлер: 40

  • @DoctorRockstarMD
    @DoctorRockstarMDКүн бұрын

    I don’t normally comment on KZread videos but I have to say this is an EXCELLENT video. You not only explain a very interesting effect that’s not often discussed but you also explain ancillary topics succinctly like gauge invariance, curl, line integrals etc. You’re using just the right level of mathematics to make it easily approachable to individuals with a college level of education without resorting to leaps due to having to dumb it down. Really an Incredible job. Please pick any topics for future videos and go at it! Looking forward to it.

  • @dragonbmgo
    @dragonbmgo2 күн бұрын

    Omggg!! This channel taught me alott just under 26 mins, Please Do Explain the Schrödinger's equation in one of your next videos 🙏✨️ All the best ❤️✨️

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    Күн бұрын

    Glad to hear that! Schrödinger equation is coming up in the next 2-3 videos😃

  • @daemeonation3018
    @daemeonation3018Күн бұрын

    I got a master's in physics in '99 and actually teach high school physics. You have cleared some things up for me that I didn't understand for many years. Thank you.

  • @YawnGod
    @YawnGodКүн бұрын

    It's almost like the lesson here is that you can't really enclose a magnetic field, so saying it was a closed magnetic field was wrong in the first place.

  • @dragonbmgo
    @dragonbmgo2 күн бұрын

    Honestly.. I have a question.. Won't that circle containing magnetic field affect the trajectories of electrons and mess with them through the double slit and maybe change the result too? Just curious. They don't seem to do so in the experiment. And also, it's amazing how Vector potentials do actually exists 👍 It's an amazing concept!! Please keep making more videos sir, I love your channel 🫶

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    Күн бұрын

    Thanks for the support💚 And yes, you are right. The circle/enclosure, which is there to keep the magnetic field confined will interact with the incoming electron. However, that is not a problem. In the first run of the experiment, we still have the circle, it’s just that the magnetic field is off. In the second run, we turn on the magnetic field and the circle is ofc present. So whatever effect the circle has on the experiment is present in both trials. In essence, we are comparing the result of having “double slit+circle” vs “double slit+circle+magnetic field”.

  • @brownie3454
    @brownie34542 күн бұрын

    bruh the music 😂

  • @JustinSmith-ie3vt
    @JustinSmith-ie3vt2 күн бұрын

    Thank you for creating this video. I would welcome a video explaining the Schrödinger equation and demonstrating how it can be used to calculate the amplitudes of various eigenstates of a system such ammonia.

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    2 күн бұрын

    Sure thing! I'll schedule that as one of the next videos. Btw, Ammonia??

  • @dennisbrown5313
    @dennisbrown53135 күн бұрын

    First off, a rather good overall explanation of this "paradox", a very clear discussion of the equations used, and excellent graphics (You can talk a bit faster, however ;) ). I'll simply add that the math really say's nothing about the 'A' field for any specific region (or enclosed by the line integral) except giving its total value. As you point out, the double slit electron experiment, certainly does prove that the vector potential cannot be zero in any region outside the enclosed/shielded 'B' field area. While Maxwell's equation for this situation doesn't account for this behavior (not too surprising since magnetic fields are just uncorrected electric fields in motion) it is obvious that this is where the error dwells. Certainly, this demonstrates a topic the two theoretical approaches provide rather dramatically different results.

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    3 күн бұрын

    Thanks! And yes, certainly, the AB effect exemplifies a bunch of physical principles at play. Another interesting discussion is that regarding the connection between Berry phase and the Aharonov-Bohm effect. This effect can also be approached in a different way: by analyzing the accumulated Berry phase as the wavefunction travels from the slits to the screen.

  • @LuisMailhos
    @LuisMailhos4 күн бұрын

    Great video, but for the music. Perhaps on picking the premises without great care you created the strange effect, much like a Zeno's paradox.

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    3 күн бұрын

    Thanks!

  • @adama8570

    @adama8570

    Күн бұрын

    @@WorldofQuantum6.62e-34 Any music is superflous and distracting!

  • @user-dl9lr8mq4l
    @user-dl9lr8mq4l2 күн бұрын

    ​@WorldofQuantum6.62e-34. Thank you! Loved the video. please show us the effects on an electron from various orientations of shelded magnets in similar situations. There must be photos somewhere !

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    2 күн бұрын

    Noted!

  • @JustNow42
    @JustNow423 күн бұрын

    The vector potential is there also without any quantum considerations. And for the love of God the word determine is not pronounced deter mine.

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    3 күн бұрын

    Yes! Thanks for mentioning that. I see that it may have been difficult to deter....mine that from the video😁

  • @samgordon9756

    @samgordon9756

    Күн бұрын

    @@WorldofQuantum6.62e-34 sorry my fellow English speaker is an ass. Some of do understand our language is absurdly inconsistent. It's said determin and rhymes with in, despite ending in mine and seeming like it should be said as it is written. That said, no one who understands this video was confused by your pronunciation.

  • @Worldpeace197

    @Worldpeace197

    Күн бұрын

    Careful your racist slip is showing.

  • @mk71b
    @mk71b2 күн бұрын

    Irritating and loud BGM. Please fix.

  • @saintpro9594
    @saintpro95945 күн бұрын

    It seems to me that it would be worthwhile to substantiate the applicability of Stokes’ theorem

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    2 күн бұрын

    That would have certainly made the treatment more complete, however it was dropped for the sake of conciseness of the video. Hopefully it didn't sacrifice the understandability

  • @saintpro9594

    @saintpro9594

    2 күн бұрын

    @@WorldofQuantum6.62e-34 Yes, I understand that all the necessary theory for a completely strict description will not fit even into a 3-hour video. It’s just that in this case, the statement of the problem “there is a magnetic field in this region, but in another region it is not” hints at the discontinuity of the magnetic field and therefore, in my opinion, it is still worthwhile to discuss in more detail the application of Stokes’ theorem. However, it's up to you to decide, overall the video is very good.

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    Күн бұрын

    @@saintpro9594 Ah! I now understand what you meant. Tbh, I just didn’t think about it deeply enough. I missed the significance of stating the applicability of Stoke’s theorem. So I really appreciate you bringing it to my attention.

  • @LightVibrationPresenseKindness
    @LightVibrationPresenseKindness2 күн бұрын

    great channel!!

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    Күн бұрын

    Thanks!

  • @adama8570
    @adama8570Күн бұрын

    Can magnetic shielding ever be complete?

  • @WackyJackyTracky

    @WackyJackyTracky

    23 сағат бұрын

    As fas as I know you cant shield it

  • @troyfrei2962
    @troyfrei2962Күн бұрын

    I have a problem with the double slit experiment. A laser in ONE hole makes interference pattern. WHY? Don't believe me? Google "laser interference pattern" Now in ONE hole can make interference pattern im sure 2 can a in interference pattern. So please tell my the double slit experiment is true if ONE HOLE can do the same?

  • @Khashayarissi-ob4yj
    @Khashayarissi-ob4yj5 күн бұрын

    With luck and more power for you.

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    3 күн бұрын

    Appreciate the kind words!

  • @thoughticality6044

    @thoughticality6044

    2 күн бұрын

    Great video! I had never heard of the effect until now and now I am very intrigued!

  • @ababababaababbba
    @ababababaababbba13 сағат бұрын

    the musics too disruptive

  • @JusticeNDOU
    @JusticeNDOU4 күн бұрын

    the whole reason to even have quantum mechanics is that humanity put too much value into cause and effect

  • @TomTom-rh5gk
    @TomTom-rh5gk2 күн бұрын

    You do not show what happens . You just talk about it. One of the worst most frustrating youtube ever.

  • @nanotech_republika
    @nanotech_republikaКүн бұрын

    great video, but why so much mispronouncing?

  • @Jim-uq1mc

    @Jim-uq1mc

    Күн бұрын

    Text to speech might enhance this otherwise great video . . .