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Position and Momentum Operators in Quantum Mechanics

We've learned a bit about quantum mechanics from a strictly conceptual and qualitative standpoint. But now it's time to dig a little deeper. Quantum mechanics is mathematics, so if we want to understand it on a fundamental level, we have to dig into the math. Unfortunately, the math is rather complex, so a solid understanding of linear algebra and differential equations is assumed here. But luckily, I have covered all of these topics in my mathematics playlist, so if you are committed to understanding quantum mechanics but don't have the math background, just head over there first to get the math down, and then this stuff will make sense! In this video, we start out by learning about operators, what they are and how to use them, the position and momentum operators, and how to apply them to the wavefunction. Don't be scared, it's fun! Script by Hèctor Mas Watch the whole Modern Physics playlist: http://bit.ly/ProfDavePhysics2 Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Mathematics Tutorials: http://bit.ly/ProfDaveMaths General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio EMAIL► [email protected] PATREON►   / professordaveexplains   Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience! Amazon: https://amzn.to/2HtNpVH Bookshop: https://bit.ly/39cKADM Barnes and Noble: https://bit.ly/3pUjmrn Book Depository: http://bit.ly/3aOVDlT