Hamiltonian and energy momentum tensor

[captain]

i know this is sort of an obvious question but what is the difference between the hamiltonian and energy momentum tensor since they are both matrices and energy and momentum are equivalent? are they different in terms of the cicumstances in which they are used.

 

[dextercioby]

In classical field theory one can show that the Hamiltonian, when calculated on the hypersurface of the solutions of the Hamilton's field equations, is equal to the "00" component of the en-mom tensor calculated on the stationary surface of Lagrange's field equations.

As for them being matrices, i guess you mean a quantum theory context in which the hamiltonian is the more important object of the two, since it governs the S-matrix.

 

[captain]

In classical field theory one can show that the Hamiltonian, when calculated on the hypersurface of the solutions of the Hamilton's field equations, is equal to the "00" component of the en-mom tensor calculated on the stationary surface of Lagrange's field equations.

As for them being matrices, i guess you mean a quantum theory context in which the hamiltonian is the more important object of the two, since it governs the S-matrix.

thanks for a moment i forgot that the 00 component of the energy tensor was the hamiltonian. thanks for you help.