What is the Heisenberg Uncertainty Principle? A wave packet approach

In this video I would like to answer a simple question: according to quantum mechanics, how do you describe a freely moving particle? It sounds simple, but what we will discover is that by attempting to answer this question, we will actually uncover one of the most profound ideas in physics, Heisenberg’s Uncertainty Principle, which tells us that it is impossible to simultaneously know where a particle is located, and how fast it is moving, implying that there is a fundamental limit to our knowledge of the physical universe. It is a principle that lies at the heart of quantum mechanics, and it has revolutionised our understanding of the fundamental laws of physics. So, buckle up, and get ready for the ride.

References for this video:

Quantum physics of atoms, molecules, solids, nuclei and particles - Eisberg and Resnick
A student's guide to the Schrodinger equation - Daniel A. Fleisch
Introduction to Quantum Mechanics - Griffiths and Schroeter
Introduction to Quantum Mechanics - Phillips
Vibrations and Waves - King
The Quantum Story - Jim Baggot
Quantum Physics for Dummies - Steven Holzner
Thirty Years that Shook Physics - Gamow
Inward Bound - Abraham Pais

[PaulisInclusion]

Easily one of the best physics channels. Thank you for not dumbing things down and showing the math.

[spythere]

Wait, this video was already posted. But since nobody observed it it was at its superposition and now it was observed once more and become real.

[AltamashDeshmukh-imod]

No drama no time waste
Pure knowledge a channel dedicated to the lovers of physics

[Optimumprime]

Bro where are you ? Pls come back 😭🙏🏻🙏🏻

[tjd_]

This is by far my favourite physics channel, it blends a mini-lecture series with a nice historical storyline. After doing a PhD the only chance you get to do lecture formats are at summer schools and you forget most of the undergrad physics which is way nicer to talk about with your friends. I look forward to your next video :)

[federicovalentin]

This has been my favourite channel for a while, I love pbs spacetime, veritasium, science click and watching lectures, but this is above

[mosesgunn]

Your explanatory abilities are second to none. What a tour de force this is.

[sachinsrb]

This is simply the best channel for real physics concepts rather than over simplifying things for a much broader audience for just awareness. Awesome work. Congratulations for a fantastic mathematical explanation. Using real mathematics is the key here. Thank you.

[idrisstahiri]

Does anyone know what happened to the creator? This is one of my favorite channels and it’s sad to see it inactive for a year

[drbeanut]

This is awesome... I was recently playing around with the concept of HUP and was trying to figure it out myself. I took a different route. I just played with Desmos Graphs and manipulated sine/cosine wavefunctions until I got something... I arrived at the same result, and then worked backwords to find I was just adding together pure waves continuously. So much become so obvious in that moment. The single-slit, or what I really now think of as double-barrier, experiment REMOVES/DEAMPLIFIES component wavefunctions from the superposition, hence closing in on the pure wave, revealing diffraction gradients, instead of a "no-slit/no-barrier" laser dot.

[NumbToons]

I was confused about how do we get localised wave packet by adding more and more waves. But your video explained exactly that, and EXACTLY the same way I always try to understand things (by trying small experiments with equations, before understanding the final general result). Clearly the Best Physics channel.

[MarkoTManninen]

My long-standing questions about pinpointing the difference of classical and quantum wave theory in the level of mathematical formalism is finally answered. Imaginary units are needed for separating wave packets. Real trigonometric functions can have phase but varying amplitudes simply turns out with complex numbers. Even thought, what would prevent on using sine'cosine in place of them? Instead of six independent components on classical phase space there is a beautiful ratio between position and momentum in quantum wave function. Well done!

[cruser]

I admire your passion for physics.
It’s so sad how these stories aren’t well told or known in popular culture.

The transition from classical physics to QM is such a great story in human history and needs to be told better.

[jamesbentonticer]

It's a shame you have to lose all those views that the original upload received. The clarity of your videos is fantastic and I appreciate the mathematical rigor you inclue.

[Vengemann]

this channel is literally the best.. it helped me everytime i studied quantum physics

[alexandreolle]

Your ability to naturally bring your audience to understand fundamental laws of physics is unmatched as far as I'm concerned.
Brilliant work again, thank you !

[rubenvalenzuela]

He's back! Very grateful for this content; high quality and accessible to everyone.

[lidamullendore]

Truly excellent, both in content and the pace of presentation. Love the visuals as they give an immediate intuitive feel for the equations. I totally agree that this is one of the best physics channels!

[aditya.]

Always love your work!!
Never stop bringing to us more fascinating stories and concepts with fundamental Mathematical Approach!!

[steveboigon]

Several have commented that since you have not posted in more than a year, and have not responded to questions about your videos, that we can only assume that you are no longer active here and have moved on.. I will no longer check in here looking for more content. I really enjoyed the videos you did post, and I wish you well. If I am incorrect, and you will continue posting, then please let your followers know