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Symplectic Geometry

Symplectic Geometry is the Geometry of Classical and Quantum Mechanics. It is different from the classical Euclidean geometry in that the most important quantity is area, not length. 

Pink and white 3D circles in a target pattern. graphic Symplectic-Geometry Symbol on transparent background.
Pink and white 3D circles in a target pattern with an equation. graphic Symplectic-Geometry Symbol on white background.

Symplectic Geometry & Quantum Mechanics

Topics

Linear symplectic algebra, Newton's equations and Phase Space, Hamilton's Equations of Motion. Quantization and Quantum Mechanics.

L1 introduction to symplectic geometry and quantum mechanics
01:17:07
L1 introduction to symplectic geometry and quantum mechanics
L2 Hamiltons equations
01:14:15
L2 Hamiltons equations
L3 symplectic matrices
01:14:04
L3 symplectic matrices
L4 poisson brackets
01:18:37
L4 poisson brackets
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