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Hamiltonian field theory
In theoretical physics, Hamiltonian field theory is the field theoretical analogue to classical Hamiltonian mechanics. It is a formalism in classical field theory alongside Lagrangian field theory, and has applications in quantum field theory also.
==Definition==
The Hamiltonian for a system of discrete particles is a function of their generalized coordinates and conjugate momenta, and possibly time also. For continua and fields, Hamiltonian mechanics is unsuitable but can be extended by considering a large number of point masses, and taking the continuous limit, that is, infinitely many particles forming a continua or field. Since each point mass has one or more degrees of freedom, the field formulation has infinitely many degrees of freedom.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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