Lagrangian equation in special relativity

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SUMMARY

The Lagrangian equation can be effectively applied in high-velocity systems, particularly within the framework of special relativity. Key resources include the "Lagrangian definition of relativistic momentum" available on the author's blog and the Landau series, which provides a comprehensive treatment starting with Lagrangian formulation. These materials offer detailed methodologies for utilizing Lagrangian mechanics in relativistic contexts.

PREREQUISITES
  • Understanding of Lagrangian mechanics
  • Familiarity with special relativity concepts
  • Knowledge of relativistic momentum
  • Basic mathematical skills for differential equations
NEXT STEPS
  • Read the "Lagrangian definition of relativistic momentum" on the author's blog
  • Study the Landau series for advanced Lagrangian mechanics
  • Explore applications of Lagrangian mechanics in high-velocity systems
  • Investigate the relationship between Lagrangian mechanics and special relativity
USEFUL FOR

Physicists, students of theoretical physics, and anyone interested in the application of Lagrangian mechanics to relativistic systems.

IPhO' 2008
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Can we use the method of Lagrangian equation in the very high velocity system and how to use it?

Thank you.
 
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IPhO' 2008 said:
Can we use the method of Lagrangian equation in the very high velocity system and how to use it?

Thank you.

Yes, we can. You can check out the attachment "Lagrangian definition of relativistic momentum" in my blog for details.
 
The Landau series has a good treatment of this as well. It starts off with a Lagrangian formulation.
 

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