Schrödinger's Derivation Explained 🧪

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This video shows how the Schrödinger equation was originally derived (by Schrödinger) from the Hamilton-Jacobi Equation.

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Sources:
Quantisation as an Eigenvalue Problem by Erwin Schrödinger
The Hamilton-Jacobi Equation : an intuitive approach by Bahram Houchmandzadeh
The Dual Dynamical Foundation of Orthodox Quantum
Mechanics by Diana Taschetto and Ricardo Correa da Silva
Schrödinger Life and Thought by Walter Moore
The classical roots of wave mechanics by Christian Joas and Christoph Lehnera
From Classical to Quantum Mechanics through Optics by Jaume Masoliver and Ana Ros
A link to an English translation of the famous 6 papers: https://archive.org/details/in.ernet.dli.2015.211600/mode/2up
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Image Credits:
Gondran, https://commons.wikimedia.org/wiki/File:Interference_electrons_2slits_10cm_alone.png, license: https://creativecommons.org/licenses/by-sa/4.0/deed.en
PoorLeno, https://commons.wikimedia.org/wiki/File:Hydrogen_Density_Plots.png
Peter Kuiper, https://commons.wikimedia.org/wiki/File:Atom_deBrogie.jpg
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
Waveinterference, https://commons.wikimedia.org/wiki/File:Young_Diffraction.png
Sakurambo, https://commons.wikimedia.org/wiki/File:Airy-pattern.svg

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Music: Epidemic Sound
Animations created using Manim: https://www.manim.community/
Illustrations and Thumbnails: Christine Kosakowski

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