- #1

sams

Gold Member

- 84

- 2

Hamiltonian Mechanics uses coordinates and corresponding momenta in phase space.

Could anyone please explain the difference between configuration space and phase space.

Thank you in advance for your help...

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- Thread starter sams
- Start date

- #1

sams

Gold Member

- 84

- 2

Hamiltonian Mechanics uses coordinates and corresponding momenta in phase space.

Could anyone please explain the difference between configuration space and phase space.

Thank you in advance for your help...

- #2

- 16,936

- 6,750

In Lagrangian mechanics, you deal with finding the stationary paths of the action, which is an integral of the Lagrangian, which in turn is a function on the tangent bundle of configuration space (but note that the configuration space itself just describes the configuration of the system!). In Hamiltonian mechanics, you deal with the flows of a vector field in phase space, i.e., a vector field on the cotangent bundle of configuration space (thus, phase space includes both the configuration

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