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
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