Hope you enjoyed the latest video on the Legendre Transform! https://youtu.be/P2HZelQm7Lw I'm currently having fun working on the next video which will be about how Schrödinger originally derived his famous wave equation of quantum mechanics. This guy, William Rowan Hamilton, played a key role with his discovery that optics and mechanics can be brought under a single framework, a framework in which Fermat's Principle of Shortest Time (δT = 0) and Maupertuis' Principle of Least Action (δS = 0) are each just specific instances of a more general principle. It was this optico-mechanical analogy that lay the foundation for Schrödinger's thought process in developing Wave Mechanics. Stay tuned for more!
Abide By Reason
HAMILTON'S ANALOGY BETWEEN OPTICS AND MECHANICS
Hope you enjoyed the latest video on the Legendre Transform! https://youtu.be/P2HZelQm7Lw I'm currently having fun working on the next video which will be about how Schrödinger originally derived his famous wave equation of quantum mechanics. This guy, William Rowan Hamilton, played a key role with his discovery that optics and mechanics can be brought under a single framework, a framework in which Fermat's Principle of Shortest Time (δT = 0) and Maupertuis' Principle of Least Action (δS = 0) are each just specific instances of a more general principle. It was this optico-mechanical analogy that lay the foundation for Schrödinger's thought process in developing Wave Mechanics. Stay tuned for more!
Hope you have a good week ahead.
Best,
Dan
3 weeks ago (edited) | [YT] | 236