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A set of numbers used to quantify location in space.

0 votes
2 answers
304 views

Laplacian in polar and spherical cordinates

why does the radial dependence of Laplacian in spherical and polar coordinate vary? ie, in polar coordinates if there is no $\theta$ dependence the laplacian goes as $\frac{1}{r} \frac{\partial}{\part …
Prince M S's user avatar
2 votes
1 answer
1k views

Jacobian in Hamiltonian dynamics

I was trying to show that for an infinitesimal time evolution in classical Hamiltonian dynamics preserves volume by showing that the following Jacobian $$ \left|\frac{\partial(q(t),p(t))}{\partial(q( …
Prince M S's user avatar