# Tagged Questions

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 ...

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### hamiltonian in a rotating frame [on hold]

ˆ H0 = h(ωopt − Gx)a†a + hΩb†b··· this is the hamiltonian of optomechanical system how this can be solve after switching to a frame rotating at the incomming frequency ωL.
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### Hamiltonian or not?

Is there a way to know if a system described by a known equation of motion admits a Hamiltonian function? Take for example $$\dot \vartheta_i = \omega_i + J\sum_j \sin(\vartheta_j-\vartheta_i)$$ ...
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### Classical dynamics of a matrix

For a system of interacting particles, we can formulate Hamiltonian dynamics in terms of a vector of position coordinates $q$ and a vector of momentum coordinates $p$. Then the Hamiltonian takes the ...
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### How to get the canonical momentum from the velocity when doing a Legendre transform?

For a Lagrangian $$L=\frac{1}{2}m\dot{q}^2-\frac{1}{2}m\omega^2 q^2$$ the Hamiltonian is defined as $$H=p\dot{q}-L$$ where $p$ is the canonical momentum, which is defined as \$p=\frac{\partial L}{\...