formalisms:lagrangian_formalism
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formalisms:lagrangian_formalism [2018/12/30 00:49] thomas_abshier [Concrete] typos |
formalisms:lagrangian_formalism [2020/04/02 14:10] 2a02:908:956:fe00:6c85:e0c0:d648:45d9 |
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| In the Lagrangian approach we focus on the position and velocity of a particle, and | In the Lagrangian approach we focus on the position and velocity of a particle, and | ||
| - | compute what the particle does starting from the Lagrangian $L(q, q˙)$, which is a function | + | compute what the particle does starting from the Lagrangian $L(q, \dot{q})$, which is a function |
| - | $$ L: TQ \to \mathbb{R} $$ | + | $$ L\colon TQ \to \mathbb{R} $$ |
| where the tangent bundle is the space of position-velocity pairs. But we're led to consider momentum | where the tangent bundle is the space of position-velocity pairs. But we're led to consider momentum | ||
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| * See: http://astro1.panet.utoledo.edu/~ljc/bader1.html | * See: http://astro1.panet.utoledo.edu/~ljc/bader1.html | ||
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formalisms/lagrangian_formalism.txt · Last modified: 2023/03/08 17:35 by 62.4.55.178
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