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Results tagged with lagrangian-formalism
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user 3036
For questions involving the Lagrangian formulation of a dynamical system. Namely, the application of an action principle to a suitably chosen Lagrangian or Lagrangian Density in order to obtain the equations of motion of the system.
4
votes
0
answers
691
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Ostrogradski’s theorem's proof
I am looking for a proof of the next theorem:
"If the higher order time derivative Lagrangian is non-degenerate, there is at least one
linear instability in the Hamiltonian of this system."
Where No …
2
votes
1
answer
416
views
Transforming a lagrangian to hamiltonian and vice versa
I am not refering to Legendre transform, but to something more simple.
In analytical mechanics, the Lagrangian can be described as $L=T-V$, and the Hamiltonian is if the Lagrangian doesn't explicitly …
1
vote
0
answers
101
views
Feynman rules for a general Lagrangian
How do I find the Feynman rules for a general Lagrangian density?
For example the Lagrangian $$L = \partial_\mu \psi \partial^\mu \psi +a \psi\partial_\mu \psi \partial^\mu \psi+b \psi^2 \partial_\mu …