Hamiltonian mechanics is an equivalent but more abstract reformulation of classical mechanic theory. I was told by the professor in a graduate physics course that the equations were called "canonical" because they were so perfect that they could be laws of the church, that is canon laws.

In Hamiltonian mechanics, a classical physical system is described by a set of canonical coordinates r = (q, p), where each component of the coordinate q i, p i is indexed to the frame of reference of the system.

Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. Canonical definition: If something has canonical status , it is accepted as having all the qualities that a... | Meaning, pronunciation, translations and examples Canonical theory, a unified molecular theory of physics, chemistry, and biology; Canonical conjugate variables, pairs of variables mathematically defined in such a way that they become Fourier transform duals; Canonical transformation, in Hamiltonian mechanics; Computing. It only takes a minute to sign up. Magus, "canonical conjugate variables" was a part of classical mechanics centuries before the uncertainity relations in quantum mechanics. At the time of their creation, the church was the most powerful entity extant. Canonical definition, pertaining to, established by, or conforming to a canon or canons. Anybody can ask a question Anybody can answer The best answers are voted up and rise to the top Home ; Questions ; Tags ; Users ; Unanswered ; What is canonical momentum?
But it's very rarely explained outside the context of physics.

See more. There are certain pairs of variables in physics that have certain connections associated with them. Thus, they were perfect enough to be church laws or "canonical" laws. Sign up to join this community.
By connection I don't mean a functional dependence. The … The Canonical Ensemble Stephen R. Addison February 12, 2001 The Canonical Ensemble We will develop the method of canonical ensembles by considering a system placed in a heat bath at temperature T:The canonical ensemble is the assembly of systems with flxed N and V: In other words we will consider an assembly of systems closed to others by rigid, diathermal, impermeable walls.

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