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A Geometric Description Of Particle Mechanics Including Electromagnetism

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Abstract

This contribution deals with non-relativistic particle mechanics including electromagnetic effects in a covariant description based on differential geometric methods. This intrinsic formulation is achieved by the construction of an affine connection extending the classical Levi-Civita connection and the use of the vertical covariant differential. Furthermore, the Lagrangian and the Hamiltonian point of view will be analyzed.
Original languageEnglish
Title of host publicationProceedings of the 18th International Symposium on Mathematical Theory of Networks & Systems
Number of pages10
Publication statusPublished - 2008

Fields of science

  • 101028 Mathematical modelling
  • 202 Electrical Engineering, Electronics, Information Engineering
  • 202003 Automation
  • 202017 Embedded systems
  • 202027 Mechatronics
  • 202034 Control engineering
  • 203015 Mechatronics

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