Hamiltonian field equations:
\[\boxed{\boxed{\dot\phi_i=+\dfrac{\delta\mathcal{H}}{\delta\pi_i},\ \dot\pi_i=-\dfrac{\delta\mathcal{H}}{\delta\phi_i}}}\]
The field analogue of the Hamiltonian formulation of classical mechanics!

#differentialequations #theoreticalphysics #functional #fieldequations #quantumfield #field #classicalmechanics #hamiltonian

Last updated 2 years ago

Hamiltonian field equations:
\[\dot\phi_i=+\dfrac{\delta\mathcal{H}}{\delta\pi_i},\ \dot\pi_i=-\dfrac{\delta\mathcal{H}}{\delta\phi_i}\]
The field analogue of the Hamiltonian formulation of classical mechanics!

#differentialequations #theoreticalphysics #functional #fieldequations #quantumfield #field #classicalmechanics #hamiltonian

Last updated 2 years ago