classical observable

In physics, an observable in the context of classical mechanics/classical field theory and in fact also in prequantum field theory is called a *classical observable*.

In symplectic geometry/geometric prequantum theory?, classical observables are functions on phase space, often called Hamiltonian functions. They form the Poisson algebra of classical/prequantum observables, wih the Poisson bracket Lie algebra structure.

In higher prequantum field theory these observables are refined to Hamiltonian forms/local currents and form the Poisson-bracket Lie n-algebra of local observables.

classical mechanics | semiclassical approximation | … | formal deformation quantization | quantum mechanics | |
---|---|---|---|---|---|

order of Planck's constant $\hbar$ | $\mathcal{O}(\hbar^0)$ | $\mathcal{O}(\hbar^1)$ | $\mathcal{O}(\hbar^n)$ | $\mathcal{O}(\hbar^\infty)$ | |

states | classical state | semiclassical state | quantum state | ||

observables | classical observable | quantum observable |

Created on March 21, 2013 at 19:55:41. See the history of this page for a list of all contributions to it.