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
Werner Heisenberg at the University of Würzburg and Jochen a physics professor at the University of New Hampshire. Heisenberg enjoyed classical music and was an accomplished pianist. Heisenberg was raised and lived as a Lutheran Christian. His autobiography starts with the young Heisenberg in his late teenage years, reading Plato's "Timaeus" while hiking in the Bavarian Alps. Heisenberg recounted the philosophical conversations with his fellow students and teachers on understanding the atom while receiving his scientific training in Munich, Göttingen and Copenhagen. In his speech Scientific and Religious Truth (1974) while accepting the Romano Guardini Prize, Heisenberg affirmed: In his late-sixties Heisenberg