The Kepler Problem and Noncommutativity
- 10 August 2003
- journal article
- research article
- Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A
- Vol. 18 (24) , 1673-1680
Abstract
We investigate the Kepler problem using a symplectic structure consistent with the commutation rules of the noncommutative quantum mechanics. We show that a noncommutative parameter of the order of 10-58 m 2 gives observable corrections to the movement of the solar system. In this way, modifications in the physics of smaller scales imply modifications at large scales, something similar to the uv/ir mixing.Keywords
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