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PHYS-202: Analytical mechanics (for SPH)

Summary

Ce cours propose une introduction à la mécanique analytique. Il introduit les formalismes lagrangien et hamiltonien, en insistant sur leur capacité à simplifier la description des systèmes contraints, des symétries et des lois de conservation. Il présente de nombreux exemples d'applications.

Lectures

Instructors

Official source

https://edu.epfl.ch/coursebook/en/analytical-mechanics-for-sph-PHYS-202

Moodle Page

http://go.epfl.ch/PHYS-202

About this result

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Summary

Lectures

Instructors

Official source

https://edu.epfl.ch/coursebook/en/analytical-mechanics-for-sph-PHYS-202

Moodle Page

http://go.epfl.ch/PHYS-202

About this result

Lectures in this course (47)

Hamilton's Formalism: Equations and Transformations

Explores Hamilton's formalism, canonical equations, and Poisson brackets in classical and quantum mechanics.

Quantum Mechanics: Jacobi Identity and Gauge Invariance

Explores Jacobi identity, gauge invariance, and conservation laws in quantum mechanics and classical physics.

Analytical Mechanics: Newton's Three Laws

Introduces the mathematical approach to analytical mechanics, emphasizing Newton's three laws for a complete description of phenomena.

Canonical Transformations in Hamiltonian Mechanics

Explores canonical transformations in Hamiltonian mechanics, emphasizing variable separation in the Hamilton-Jacobi equation.

Canonical Transformations: Phase Portraits and Action Variables

Explores canonical transformations, phase portraits, and action variables in Hamiltonian systems and harmonic oscillators.

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