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Results tagged with hamiltonian-formalism
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user 3036
The Hamiltonian formalism is a formalism in Classical Mechanics. Besides Lagrangian Mechanics, it is an effective way of reformulating classical mechanics in a simple way. Very useful in Quantum Mechanics, specifically the Heisenberg and Schrodinger formulations. Unlike Lagrangian Mechanics, this formalism relies on a "Hamiltonian" instead of a Lagrangian, which differs from the Lagrangian through a Legendre transformation.
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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 …
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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 …