Introduction to Quantum Mechanics: Schrodinger Equation

There's no better way to celebrate Christmas than with a 12 minute video on the Schrodinger Equation! In this lesson, I introduce Quantum Mechanics with a discussion on wavefunctions and the Schrodinger Equation (in 1-D). I show how wavefunctions can represent probability density functions (via the norm-squared), and discuss the significance of this representation. I then introduce/revisit some basic Statistics concepts, and end the video with a proof of how the normalization of wavefunctions stays preserved with time. Questions/requests? Ask in the comments! Prereqs: This whole playlist:    • Quantum Mechanics: Mathematical Basis   Lecture Notes: https://drive.google.com/open?id=1IA_... Patreon: https://www.patreon.com/user?u=4354534 Twitter: https://twitter.com/FacultyOfKhan?lan... Special thanks to my Patrons: Jennifer Helfman Justin Hill Jacob Soares Yenyo Pal Lisa Bouchard NOTE: At around 11:30-11:45, I mention how the 'boundary' integrals have to approach zero at +/- infinity. This is true for square-integrable functions that come up in Physics. However, as one of the commenters pointed out, there are exceptions (i.e. square-integrable functions that don't approach zero at infinity). These exceptions aren't found in Physics though, so we'll ignore them, but I figure they're worth mentioning as a footnote.