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Curvature and torsion of the world curve in the action of the relativistic particle

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Publication:3991595
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DOI10.1063/1.529494zbMath0850.70197OpenAlexW2067024706MaRDI QIDQ3991595

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Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529494



Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)


Related Items

On the dynamics of relativistic particles with torsion in warped product spacetimes ⋮ Classical dynamics of the rigid string from the Willmore functional ⋮ On a model of a relativistic particle with curvature and torsion ⋮ Functionals linear in curvature and statistics of helical proteins ⋮ (2+1)-dimensional models of relativistic particles with curvature and torsion ⋮ A STRING MODEL FOR D-DIMENSIONAL DE SITTER SPACE–TIME AND EQUATIONS OF MOTION ⋮ Lagrangian curves in a 4-dimensional affine symplectic space ⋮ Relativistic particles with torsion in three-dimensional non-vacuum spacetimes ⋮ Test particles with acceleration-dependent Lagrangian



Cites Work

  • Field theory of paths with a curvature-dependent term
  • Singular Lagrangians with higher derivatives
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