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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 …
qubitz's user avatar
  • 364
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 …
qubitz's user avatar
  • 364
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 …
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  • 364