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 Tao of Physics a whole culture that subscribed to very similar ideas. Heisenberg said that this was a great help for him. Niels Bohr had a similar experience when he went to China. As a result of those influences, Bohr adopted the yin yang symbol as part of his family coat of arms when he was knighted in 1947. "The Tao of Physics" was followed by other books of the same genre like "The Hidden Connection", "The Turning Point" and "The Web of Life" in which Capra extended the argument of how Eastern mysticism and scientific findings of today relate, and how Eastern