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Mathematical methods in classical mechanics, classical and quantum field theory, quantum mechanics, statistical mechanics, condensed matter, nuclear and atomic physics.

7 votes
1 answer
590 views

Spinor space to Euc. vector space: does there exist a universal bilinear map?

Let $S$ be a spin representation of the Euclidean spin group $Spin(d)$ and let ${\mathbb R}^d$ be Euclidean $d$-space with $Spin(d)$ action on it in the canonical way, via the 2:1 cover to $SO(d)$. …
Richard Montgomery's user avatar
101 votes
1 answer
8k views

Dropping three bodies

Consider the usual three-body problem with Newtonian $1/r^2$ force between masses. Let the three masses start off at rest, and not collinear. Then they will become collinear a finite time late …
Richard Montgomery's user avatar