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Legendre transformation

Legendre transformations are used in thermodynamics, and to derive Hamiltonian mechanics from Lagrangian mechanics.

Let

Substituting

gives

A Legendre transformation is its own inverse, and is related to integration by parts.

Referenced By

Generalized coordinates | Hamiltonian mechanics | Lagrangian mechanics | List of mathematical topics (J-L)

 

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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Legendre transformation".

 

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