Heisenberg group Heisenberg group In mathematics, the Heisenberg group formula_1, named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form under the operation of matrix multiplication. Elements "a, b" and "c" can be taken from any commutative ring with identity, often taken to be the ring of real numbers (resulting in the "continuous Heisenberg group") or the ring of integers (resulting in the "discrete Heisenberg group"). The continuous Heisenberg group arises in the description of one-dimensional quantum mechanical systems, especially in the context of the Stone–von Neumann theorem. More generally, one can consider Heisenberg groups associated to
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