The Heisenberg Uncertainty Principle: Proof/Explanation! скачать в хорошем качестве

The Heisenberg Uncertainty Principle: Proof/Explanation!

In this video, I derive and discuss the Heisenberg Uncertainty Principle, perhaps one of the most famous relationships in Quantum Mechanics. I start by using the Generalized Uncertainty Principle (derived here:    • The Generalized Uncertainty Principle | Pr...  ) to determine the commutator of the position and momentum operators whose expressions I found in the previous video (link:    • Position and Momentum from Wavefunctions |...  ). Once I derive the Heisenberg Uncertainty Principle, I devote much of the video to explaining what it means - *that it's a statement on the fundamental nature of quantum mechanical particles which arises from certain mathematical principles (e.g. Fourier Transforms) describing those particles*. In the video, I state that the Heisenberg Uncertainty Principle 'is a consequence of mathematics', but keep in mind that this mathematics is used to model quantum mechanical particles. Thus, in the context of Quantum Mechanics, the Heisenberg Uncertainty Principle is a physical fact that can be derived mathematically (that's what I mean when I say 'consequence of mathematics'). Towards the end of the video, I emphasize that the Uncertainty Principle is NOT a statement about observer-induced limitations on measurements; that's the Observer Effect. The Heisenberg Uncertainty Principle is rather difficult to wrap one's head around, at least at first, so I encourage you to ask questions and comment down below! Prerequisites: All the previous videos in this playlist (Playlist 1: https://www.youtube.com/playlist?list..., and all the videos in this playlist:    • Quantum Mechanics: Mathematical Basis  . Lecture Notes: https://drive.google.com/open?id=1S7B... Patreon: https://www.patreon.com/user?u=4354534 Twitter:   / facultyofkhan   Special thanks to my Patrons for supporting me at the $5 level or higher: Jose Lockhart Yuan Gao Justin Hill Marcin Maciejewski Jacob Soares Yenyo Pal Chi Lisa Bouchard EDIT: The deBroglie formula at 6:40 should have hbar instead of h.