Heisenberg picture formulation of matrix mechanics in an arbitrary basis, in which the Hamiltonian is not necessarily diagonal. It further serves to define a third, hybrid, picture, the interaction picture. In the Heisenberg picture of quantum mechanics the state vectors, |"ψ("t")"〉, do not change with time, while observables satisfy where is the Hamiltonian and <nowiki>[•,•]</nowiki> denotes the commutator of two operators (in this case and ). Taking expectation values automatically yields the Ehrenfest theorem, featured in the correspondence principle. By the Stone–von Neumann theorem, the Heisenberg picture and the Schrödinger picture are unitarily equivalent, just a basis change in Hilbert space. In
Benjamin Heisenberg Benjamin Heisenberg Benjamin Heisenberg (born 9 June 1974) is a German film director and screenwriter. He has directed sixteen films since 1995. His film "Schläfer" was screened in the Un Certain Regard section at the 2005 Cannes Film Festival. His 2010 film, "The Robber", was nominated for the Golden Bear at the 60th Berlin International Film Festival. He is also the grandson of Nobel Prize winning physicist Werner Heisenberg via father Martin Heisenberg. He is co-editor and co-publisher of the German film magazine Revolver. Benjamin Heisenberg was born in Tübingen, Germany to Martin Heisenberg and Apollonia, Countess of Eulenburg. He