the product of 2 hermitian operators (observables) is an hermitian operator (observable) if and only if the commutator is zero i.e. for incompatible observables no simultaneous sharp values can be determined.
From an epistemological point of view one could speak about quantum uncertainty (Heisenberg), as from an ontological point of view this is called quantum complementarity (Bohr).
Hereby, remember:
- an observable is (represented by) a hermitian operator.
- two incompatible observables have a nonzero commutator.
Geen opmerkingen:
Een reactie posten