Newton's second law in a non-commutative space

  • Romero J
  • Santiago J
  • Vergara J
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Abstract

In this Letter we show that corrections to Newton's second law appear if we assume a symplectic structure consistent with the commutation rules of the non-commutative quantum mechanics. For central field we find that the correction term breaks the rotational symmetry. For the Kepler problem, this term is similar to a Coriolis force. © 2003 Elsevier Science B.V. All rights reserved.

Author-supplied keywords

  • Classical mechanics
  • Non-commutative geometry

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Authors

  • Juan M. Romero

  • J. A. Santiago

  • J. David Vergara

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