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Dynamical structures fork-vector fields

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Abstract

A new class of dynamical structures that generalize electrodynamics is presented. In this construction the 1-jets of solutions are represented by a class ofk-vector fields that extend the notion of a Poisson structure to multivectors of degree greater than two. These objects function as tangent vectors to solutions. Although the dynamical equations are systems of partial differential equations, the formalism is very similar to mechanics.

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References

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Martin, G. Dynamical structures fork-vector fields. Int J Theor Phys 27, 571–585 (1988). https://doi.org/10.1007/BF00668840

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Keywords

  • Differential Equation
  • Field Theory
  • Elementary Particle
  • Partial Differential Equation
  • Quantum Field Theory