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Research blog April 2024

April 14, 2024

Dirac and the Poisson bracket expression

Dirac lecture 1 of 4 - Quantum Mechanics
Dirac's first lecture of four on quantum mechanics delivered in 1975 in Christchurch, New Zealand.

Video:
https://youtu.be/2GwctBldBvU?si=l9uMqB6-GOubD1CO

At around 19 minutes into the video, Dirac says that he had read Heisenberg's paper on a non-commutable equation,
and when he went on his Sunday walk, he remembered that he had seen something similar
named "Poisson brackets"
in the book
Whittaker, E. T. (1904). A treatise on the analytical dynamics of particles and rigid bodies: with an introduction to the problem of three bodies

Here is a link to the Poisson bracket equation he mentions at around 19 minutes into the video
https://www.forgottenbooks.com/en/readbook/ATreatiseontheAnalyticalDynamicsofParticlesandRigidBodies_10037992#310
dirac_poisson

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