In classical dynamics, the Poisson bracket between these quantities should be unity.
It is thought that regular classical dynamics is manifested by a Poisson distribution of energy levels:
In the case where one obtains classical dynamics.
This gives the classical dynamics of fermion fields and classical spin-1/2 particles.
The Wigner function allows one to study the classical limit, offering a comparison of the classical and quantum dynamics in phase space.
The second one treats the nuclei, which are much heavier than electrons, as point particles that follow classical Newtonian dynamics.
In classical molecular dynamics the effect of the electrons is approximated as a single potential energy surface, usually representing the ground state.
In classical molecular dynamics, a single potential energy surface (usually the ground state) is represented in the force field.
It seemed a liquid myster and yet he felt he should be unsurprised; it was, after all, classical dynamics.
In physics, quantum dynamics is the quantum version of classical dynamics.