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
Martin Heisenberg genetic foundations of the Drosophila brain by studying the effect of genetic mutations on brain function. In addition, Heisenberg contributed a number of essays on the topics of science in society, perception, as well as the question of the freedom of the will. He was elected as a member of the Leopoldina in 1989. Martin Heisenberg is a son of the physicist Werner Heisenberg, who is known for the uncertainty principle. He is married to Apollonia, Countess of Eulenburg. They have four sons, including film director Benjamin Heisenberg. He is the brother of physicist Jochen Heisenberg. Martin Heisenberg Martin Heisenberg