Heisenberg group of the Heisenberg group is fairly simple – later generalized by Mackey theory – and was the motivation for its introduction in quantum physics, as discussed below. For each nonzero real number formula_27, we can define an irreducible unitary representation formula_48 of formula_31 acting on the Hilbert space formula_50 by the formula: This representation is known as the Schrödinger representation. The motivation for the this representation is the action of the exponentiated position and momentum operators in quantum mechanics. The parameter formula_52 describes translations in position space, the parameter formula_53 describes translations in momentum space, and the parameter formula_54 gives
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