A study of the approximate singular Lagrangian-conditional Noether symmetries and first integrals

  title={A study of the approximate singular Lagrangian-conditional Noether symmetries and first integrals},
  author={Sameerah Jamal},
  journal={International Journal of Geometric Methods in Modern Physics},
  • S. Jamal
  • Published 16 January 2019
  • Mathematics
  • International Journal of Geometric Methods in Modern Physics
The investigation of approximate symmetries of reparametrization invariant Lagrangians of [Formula: see text] degrees of freedom and quadratic velocities is presented. We show that extra conditions emerge which give rise to approximate and conditional Noether symmetries of such constrained actions. The Noether symmetries are the simultaneous conformal Killing vectors of both the kinetic metric and the potential. In order to recover these conditional symmetry generators which would otherwise be… 
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