Series
5 posts
A 2015 physics student's introduction to quantum mechanics, followed by discrete and continuous probability, variance and Gaussian normalization, with marked editorial corrections.
Figuring out why a normalized wave function stays normalized over time — turns out the Schrödinger equation holds that secret all along!
Jumping into the math of differentiating <x> with respect to time — and watching it naturally lead us straight to the momentum operator!
A fun, casual rundown of how the time-independent Schrödinger equation came to be — tracing the genius relay from Planck to Einstein to de Broglie to Schrödinger!
We crack the time-independent Schrödinger equation by assuming ψ separates into x and t parts — basically the same separation-of-variables trick from electromagnetism!