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A set of numbers used to quantify location in space.
5
votes
5
answers
7k
views
Position vector vs polar coordinates
In cartesian coordinates we have the coordinates x,y,z, and the position vector is described by r(x,y,z) = $x\hat{x}$+
+$y\hat{y}$
+$z\hat{z}$
However, in polar coordinates, we have the coordinates $r …
2
votes
1
answer
74
views
Preservation of exact equations of motion in time-dependent perturbation theory for the Hami...
From the Hamilton-Jacobi formalism the solution for the unperturbed hamiltonian $H_0$ has a generating function $S(q,\alpha,t)$ such that
$$K_0 = H_0(q, \frac{\partial S}{\partial q},t) + \frac{\parti …
1
vote
1
answer
762
views
Lorentz Transformation Exercise confusion
So there is this very simple situation in one of my exercices:
In the earth's frame of reference a tree is at the origin and a pole is at $x=20$km. Lightning strikes at both the tree and the pol …