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