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Results tagged with noethers-theorem
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user 137792
Noether's Theorem relates continuous symmetries (continuous transformations that keep the theory's action invariant) to conservation laws. It finds many applications in modern Physics and generalizes the common notions of conservation of energy, momentum, and angular momentum of Newtonian Mechanics.
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Equation of Motion Invariance in Galilean Mechanics
Consider a particle moving freely, where $\vec{r}(t)$ is the position of the particle. Suppose I move into a frame with
$$\vec{r}' =\vec{r} + \epsilon \vec{F}(\vec{r}, t)\tag{1},$$ where $\epsilon$ i …
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Equation of Motion Invariance in Galilean Mechanics
Thank you for the great responses, this makes way more sense to me now. I also want to add my understanding of the answers and a clarification of the subtlety that confused me initially.
It is a mathe …
- 283