Uploads from Dr. Jorge S. Diaz

Currently Playing: Dirac's Quantum Mechanics

1. **Buy AI-powered UPDF Editor with exclusive discount: https://updf.com/?utm_source=youtube-jkzero-2604-cathy&utm_medium=en&utm_campaign=cathy202604&packageKey=overseapromotionaffiliate-awin&channel=affiliate-awin&utm_medium=awin&utm_campaign=affiliate2026&sv1=affiliate&sv_campaign_id=2834934&sscid=33583_1776673598_10dd86b6265d18e3e22a885214ba99ad&awc=33583_1776673598_10dd86b6265d18e3e22a885214ba99ad, One License Can be used on All Platforms to Edit and Sync PDFs! 2.**UPDF AI: https://ai.updf.com/chat-pdf/?utm_source=youtube-jkzero-2604-cathy&utm_medium=jkzero&utm_campaign=cathy202604&packageKey=overseapromotion In 1925 Paul Dirac made his first contribution to the development of quantum mechanics. Dirac discovered a deep connection between the quantum commutator and the Poisson bracket in the classical theory. In this video I present the details of the most important calculation that led Dirac to conclude that the Poisson bracket corresponds to the classical limit of the commutators from matrix mechanics. [Related videos] ∘ Poisson bracket: a step before Quantum Mechanics https://youtu.be/Be3vSBTPTTI ∘ The three-body problem and Quantum theory (action-angle variables) https://youtu.be/i_3d_IGJW6A ∘ Canonical Transformations: The bridge to quantum mechanics https://youtu.be/wVqqj6N_7RA ∘ This is how Heisenberg created quantum mechanics https://youtu.be/oVzzIkkYGY8 ∘ The birth of Quantum Mechanics https://youtu.be/XQAAU11DbDI ∘ Playlist Heisenberg's Matrix Mechanics https://www.youtube.com/playlist?list=PL_UV-wQj1lvXuBvDHjqhnReMHoqgR8nQi ∘ Playlist video series on Quantum Physics https://www.youtube.com/playlist?list=PL_UV-wQj1lvVxch-RPQIUOHX88eeNGzVH ∘ Playlist Classical Physics for Quantum Mechanics https://www.youtube.com/playlist?list=PL_UV-wQj1lvX-6uNvdvOHOopu4WZ_dE5w ∘ Dirac lecture - Quantum Mechanics https://www.youtube.com/watch?v=2GwctBldBvU [References] ∘ W. Heisenberg, "Über quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen," Z. Phys. 33, 879 (1925) ∘ 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 ∘ P.A.M. Dirac, "Quantum mechanics and a preliminary investigation of the hydrogen atom," Proc. R. Soc. Lond. A 110 (755): 561 (1926) https://doi.org/10.1098/rspa.1926.0034 ∘ M. Born and P. Jordan, "Zur Quantenmechanik,” Z. Phys. 34, 858 (1925) ∘ M. Born, W. Heisenberg, and P. Jordan, "Zur Quantenmechanik II," Z. Phys. 35, 557 (1926) ∘ H. Kragh, "Simply Dirac" https://amzn.to/3QqjhO4 (affiliate link) [Credits] Paul Dirac, Chicago 1929 by G.F. Hund under CC BY 3.0 Fifth Solvay Conference, colorized photo, AIP Paul Dirac, AIP Max Born, AIP Pascual Jordan, AIP Werner Heisenberg, AIP Leiden Kamerlingh-Onnes Lab photo, public domain AIP: American Institute of Physics, Emilio Segrè Visual Archives CC BY 3.0: https://creativecommons.org/licenses/by/3.0/deed.en