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
The Eyes of Heisenberg The Eyes of Heisenberg The Eyes of Heisenberg is a 1966 science fiction novel by American writer Frank Herbert. Originally serialized as Heisenberg's Eyes in "Galaxy" magazine between June and August 1966, it was issued by Berkley in the same year. The title refers to Werner Heisenberg's uncertainty principle, here applied both on the molecular (genetic) level (producing the atypical embryo the story hinges on) and on a macroscopic, societal level. The short novel takes places in an initially unspecified future in which society is rigidly stratified into two genetic and reproductive classes: the "Optimen" (who include women) and the