Quantum Mechanics Example Problem: Heisenberg Uncertainty Principle

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In this video, I solve an example problem in Quantum Mechanics which involves normalizing a wavefunction, finding expectation values, and then using those expectation values to verify that the Heisenberg Uncertainty Principle holds true.
This problem should solidify what we've learned so far in Quantum Mechanics.
Questions/requests? Let me know in the comments!
Video on the expectation value of Q(x,p): • Position and Momentum ...
Prerequisites: The videos before this one in this playlist: • Quantum Mechanics
Lecture Notes: drive.google.com/open?id=1HMj...
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Twitter: / facultyofkhan
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Опубликовано:

27 авг 2018

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Комментарии : 31

@md.abdullahalhasan595 5 лет назад

Thank you for these wonderful series. This helps me a lot. Please make more Quantum mechanics example problem video.

@FacultyofKhan 5 лет назад

Glad to help, and will do!

@andie_pants 3 года назад

I like to watch these videos to overcome the Dunning-Krueger effect and define the boundaries of my actual knowledge. This one lost me in the first 30 seconds (still watched to the end). Thank you for the reality check.

@l_w9893 5 лет назад

Love the video, really helpful, more QM examples would be great! Thanks for the content

@ostensiblyquerulous 5 лет назад

Thank you! This is everything I’ve wanted for quantun 1.

@hanzyloeser3072 5 лет назад

Great video as always!!

@jacobvandijk6525 4 года назад

You make me smile. Thanks.

@FacultyofKhan 4 года назад

My pleasure 😊

@zankojirkarim9028 3 года назад

Thank you for detailed solution

@zackm5693 5 лет назад

Very nice. Please make more QM videos!!!

@physicssolutions7873 4 года назад

Sir... Have u solutions of exercise 1.36 and 1. 37 of quantum mechanics zettli

@mogliking12345 3 года назад

Nice

@niniozypherflores409 2 года назад

OMG very difficult to solve even if i am already a Chemical Engineer...in our Phychem or Physics we don't take more emphasis on Quantum Mechanics only minimal theory but no problem solving this is our curriculum in the Philippines our Licensure Examination for Engineers did not have this problems in the questionnaires as I said our curriculum in engineering did not have too much explanations on this particular subject, maybe our PRC (Philippines Regulation Commission) on Licensure Examinations had agreed with Albert Einstein that "God Does not Play With A Dice" because Einstein never accepted this theory on quantum mechanics..

@sindycross3401 4 года назад

Thank you for your lessons! I have a question: In part(a), can the normalization constant A be negative? like -1/4a^2√15/a

@FacultyofKhan 4 года назад

Glad you like the lessons! Theoretically, the normalization constant *can* be negative since you need Integral of |psi|^2 to be 1, so you could just as well take the negative root when finding the square root. Generally though, we like positive numbers so unless otherwise specified, we'll pick positive numbers.

@JPCPhantom9 2 года назад

Why is px-hat = ( h - bar / i ) * d/dx ? Where did ( h - bar / i ) come from?

@gulabkumawat7244 5 лет назад

Make videos dirac equation

@FacultyofKhan 5 лет назад

I'll put it on my to-do list!

@suniltrivedi1291 5 лет назад

This is from Griffiths, I suppose ?

@FacultyofKhan 5 лет назад

Yup!

@jeffreyluciana8711 2 года назад

Every limit in math is either zero, one or infinity

@__eishanaveed 4 года назад

i like prof naveed iqbal

@user-yv1wv4yp1j 2 года назад

Isn't the function even?

@tgp3687 4 года назад

When your only in AP Physics 1 and 2 and haven’t taken any calculus and want see what Quantum Mechanics is like

@markjones336 3 года назад

I know nothing of QF!I HAVE ONE QUESTION!Why,when I look at my closed blinds in a certain light,can I see millions of snow like particles falling like snow!Even blowing in a gentle wind!Its like static on the tv(Black&white)No noise!I know static on tv is a visual effect of the left over remnants of the Big Bang!So how come I can see them with the naked eye???I have to concentrate and go into a trans like state to see them!But I do see them!It first happened when a friend was boring me an I looked over his head an they suddenly appeared!Its amazing!Am I seeing static?(Or whatever?)AND PLEASE NO ONE SAY THEIR FLOATERS IN THE EYE!I KNOW WHAT THEY ARE!!