05. Development of Heisenberg's matrix mechanics

Опубликовано: 26 Декабрь 2024
на канале: Sander Konijnenberg

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Slides and transcripts: https://drive.google.com/drive/folder...

0:00 Recap of previous videos
4:50 Overview
11:44 Adiabatic hypothesis
14:55 Action-angle variables
21:47 Bohr's correspondence principle
26:18 Dispersion
35:52 Thomas-Reiche-Kuhn sum rule
38:43 Matrix mechanics
45:56 Heisenberg's equation of motion
47:29 The canonical commutation relation
53:13 Matrix derivatives and commutators
58:40 Commutator and Poisson bracket
1:05:40 Rederiving results with matrix mechanics
1:10:17 Normal Zeeman effect
1:14:23 Pauli's calculation of hydrogen energy levels
1:14:47 Runge-Lenz vector
1:17:38 Quantum Runge-Lenz vector
1:23:21 Relate quantum RL vector to energy
1:32:26 Summary