What is the i really doing in Schrödinger's equation?

Video Description

Go to https://piavpn.com/WelchLabs to get 83% off Private Internet Access with 4 months free! Book Update at 23:28! Welch Labs Imaginary Numbers Book! https://www.welchlabs.com/resources/imaginary-numbers-book Welch Labs Posters: https://www.welchlabs.com/resources Huge thanks to Grant Sanderson for a quick manim crash course - I used manim for some of the more complex animations. Schrodinger equation numerical simulations used for animations were computed with: https://github.com/quantum-visualizations/qmsolve Special thanks to Patrons: Juan Benet, Ross Hanson, Yan Babitski, AJ Englehardt, Alvin Khaled, Eduardo Barraza, Hitoshi Yamauchi, Jaewon Jung, Mrgoodlight, Shinichi Hayashi, Sid Sarasvati, Dominic Beaumont, Shannon Prater, Ubiquity Ventures, Matias Forti, Brian Henry, Tim Palade, Petar Vecutin, Nicolas baumann, Jason Singh, Robert Riley Orbitals Graphics Credits: Geek3, https://commons.wikimedia.org/wiki/File:Atomic_orbitals_spdf_m-eigenstates_and_superpositions.png, license: https://creativecommons.org/licenses/by-sa/4.0/deed.en PoorLeno, https://commons.wikimedia.org/wiki/File:Hydrogen_Density_Plots.png References De Broglie, L. (1924). *Recherches sur la théorie des quanta* (Doctoral dissertation, Migration-université en cours d'affectation). Callender, C. (2023). Quantum mechanics: Keeping it real?. *The British Journal for the Philosophy of Science*, *74*(4), 837-851. Dyson, F. (2009). Birds and frogs. *Notices of the AMS*, *56*(2), 212-223. Einstein, A. (2011). Letters on Wave Mechanics: Correspondence with H. A. Lorentz, Max Planck, and Erwin Schrödinger. United States: Philosophical Library/Open Road. Fleisch, D. A. (2020). A Student's Guide to the Schrödinger Equation. India: Cambridge University Press. Fleisch, D., Kinnaman, L. (2015). A Student's Guide to Waves. United Kingdom: Cambridge University Press. Gamow, G. (2012). Thirty Years that Shook Physics: The Story of Quantum Theory. United States: Dover Publications. Jammer, M. (1989). The Conceptual Development of Quantum Mechanics. United Kingdom: Tomash Publishers. Karam, R. (2020). Schrödinger's original struggles with a complex wave function. *American Journal of Physics*, *88*(6), 433-438. Moore, W. (2015). Schrödinger: Life and Thought. United Kingdom: Cambridge University Press. Schrödinger: Centenary Celebration of a Polymath. (1987). United Kingdom: Cambridge University Press. Schrödinger, E. (2003). Collected Papers on Wave Mechanics: Together with His Four Lectures on Wave Mechanics. United States: AMS Chelsea Pub.. CFAQJOTYQHT7JYIT