Position and Momentum from Wavefunctions | Quantum Mechanics
In this video, I define the expectation value of position for a wavefunction psi and use that to derive the expectation value of momentum as well as the expressions for the position and momentum operator. I then show that in general, any Classical Mechanics quantity can be determined from the wavefunction using a combination of the position and/or momentum operators. There's quite a bit of math involved, so if you have any questions, let me know in the comments! Stay tuned for the next video (coming soon!) in which I will use the expressions for the momentum and position operators to derive the Heisenberg Uncertainty Principle. Prerequisites: All the previous videos in both of these playlists (Playlist 1: • Quantum Mechanics , Playlist 2: • Quantum Mechanics: Mathematical Basis ) 2nd Postulate Video: • Commutators and Eigenvalues/Eigenvectors o... Previous Video: • Introduction to Quantum Mechanics: Schrodi... Lecture Notes: https://drive.google.com/open?id=1ppT... 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
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