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Schrodinger's Equation is a beast of a thing. Fortunately, some very smart physicists have figured out ways to deal with it that don't require a full 30 seconds of writing every time you have to use it. This video is about how I like to deal with the schrodinger equation, and I also describe how to arrive at the time-independent equation from the time-dependent one using separation of variables.
This is part of my series on semiconductor physics (often called Electronics 1 at university). This is based on the book Semiconductor Physics and Devices by Donald Neamen, as well as the EECS 170A/174 courses taught at UC Irvine.
Hope you found this video helpful, please post in the comments below anything I can do to improve future videos, or suggestions you have for future videos.