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Curated by: Dr. Jorge S. Diaz (58 videos)
Buy me a coffee and support the channel: https://ko-fi.com/jkzero In this video, I present the story of Poisson brackets and an important theorem for the construction of conserved quantities. In this walk through, hints towards quantum mechanics appear over an over again. [Related videos] ∘ Lagrangian Mechanics: when theoretical physics got real https://youtu.be/QbnkIdw0HJQ ∘ The origin of Hamiltonian Mechanics https://youtu.be/m-r1ji9zRVI ∘ Symmetry in physics and Noether’s theorem https://youtu.be/rtqHlDwCk-g ∘ Phase Space: the geometry of Hamiltonian mechanics https://youtu.be/IVQRfHAgLxk [References] ∘ S.-D. Poisson,"Mémoire sur la variation des constantes arbitraires dans les questions de mécanique," J. Éc. Polytech., 15e cahier, 8, 266 (1809) ∘ S.-D. Poisson,"Mémoire sur la variation des constantes arbitraires, dans les questions de mécanique," Mémoires de l’Académie des sciences, Tome 1, 1-70 (1816) ∘ C.G.J. Jacobi, "Nova methodus, aequationes differentiales partiales primi ordinis inter numerum variabilium quemcunque propositas integrandi," J. Reine Angew. Math. 60: 1 (1862) ∘ C.G.J. Jacobi, "Vorlesungen über Dynamik," Georg Reimer, Berlin (1866) ∘ P.A.M. Dirac, "The fundamental equations of quantum mechanics," Proc. R. Soc. Lond. A 109 (752): 642 (1925) https://doi.org/10.1098/rspa.1925.0150 [Credits] The Great Comet of 1882 by G.F. Chambers, public domain Solar system, by Orrery under CC BY-SA 4.0 Solutions to the three-body problem by Perosello under CC BY-SA 4.0 Curling stones by SHVETS production, free use via Pexels https://www.pexels.com/video/a-curling-stone-sliding-on-the-floor-7547938/ Curling stones by SHVETS production, free use via Pexels https://www.pexels.com/video/curling-stones-sliding-on-ice-rink-7560795/ The Physics of Figure Skating (Rotation), UMD Physics Videos! https://www.youtube.com/watch?v=yVf1M0Jjn5Q Joseph Louis Lagrange, public domain Portrait of Siméon Denis Poisson by François-Séraphin Delpech, public domain Eiffel tower by B.L. Song, public domain Names on southeast side of the Eiffel Tower by Juanedc under CC BY 2.0 Enckes method-vector by GregorDS under CC BY-SA 4.0 Gravitational perturbation by RJHall under CC BY-SA 3.0 Neptune NASA / JPL, public domain Perihelion precession of Mercury, by R.Zenz, public domain Carl Jacobi, public domain Alfred Clebsch, public domain SO(3) by Maschen, public domain Yellow scissortail assessor by T. Elliott, free use via Pexels https://www.pexels.com/video/yellow-scissor-tail-assessor-fish-in-aquarium-5548410/ AIP: American Institute of Physics, Emilio Segrè Visual Archives CC BY 2.0: https://creativecommons.org/licenses/by/2.0/deed.en CC BY-SA 3.0: https://creativecommons.org/licenses/by-sa/3.0/deed.en CC BY-SA 4.0: https://creativecommons.org/licenses/by-sa/4.0/deed.en