Are Constraints Necessary in Hamiltonian Dynamics?

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SUMMARY

In Hamiltonian dynamics, constraints are essential for accurately describing the motion of a system. The discussion clarifies that constraints must be included in the final calculations for the equations of motion, contrary to the initial assumption that they could be ignored. This is crucial for ensuring the integrity of the physical model being analyzed. The importance of referencing authoritative sources to support claims about constraints in Hamiltonian mechanics is also emphasized.

PREREQUISITES
  • Understanding of Hamiltonian mechanics
  • Familiarity with classical mechanics concepts
  • Knowledge of constraints in physical systems
  • Ability to interpret equations of motion
NEXT STEPS
  • Study the role of constraints in Hamiltonian mechanics
  • Explore Lagrangian mechanics for comparison
  • Review authoritative texts on Hamiltonian dynamics
  • Learn about the implications of ignoring constraints in physical models
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Students and researchers in physics, particularly those focusing on classical mechanics and Hamiltonian dynamics, will benefit from this discussion.

oldspice1212
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Hi there,

I'm reading on the hamiltonian method and it says we can ignore constraints? Is this true, or am I missing something here, so if we have a constraint in the system we do not have to include it in the final calculation for the equation of motion?

Hope someone could clear this up, thanks!
 
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It would be beneficial if you gave a reference and a verbatim quote of the statement. Otherwise we are stabbing in the dark.
 
Nvm, I was wrong! Thanks anyways, we do include the constrain!
 

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