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Similarity transformation of Lorentz transformation
Obtain The Lorentz Transformation in which the velocity is at an infinitesimal angle $d\theta$ counter clockwise from the $x$ axis, by means of a similarity transformation applied to $$L=\begin{bmatr …
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A particle constrained to always move on a surface whose equation is $\sigma (\textbf{r},t)=...
In Goldstein's Classical mechanics question 2.22
Suppose a particle moves in space subject to a conservative potential $V(\textbf{r})$ but is constrained to always move on a surface whose equation is …