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Results tagged with laplace-runge-lenz-vector
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user 156895
The Laplace–Runge–Lenz vector describes the shape and orientation of the orbit of one astronomical body around another. In general, the LRL vector is conserved (it's a constant of the motion) in all problems in which two bodies interact by a central force that varies as the inverse square of the distance between them (Kepler problem). Its conservation is significant in the quantization of the Hydrogen atom.
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Accepted
How is angular momentum defined on symplectic space?
How is angular momentum defined on symplectic space?
The broadest definition of angular momentum is that it is the infinitesimal generator of spatial rotations. Concretely, let $\mathbf x$ be a poi …
- 71.4k
6
votes
How is angular momentum defined on symplectic space?
Elementary Mechanics
Consider the elementary mechanics of a point particle moving through the space of possible positions $Q:=\mathbb R^n$. This space has a natural affine structure (see also my answ …
- 71.4k