Assertion: abelian group's element | /r/HasProperty | equivalent
Facets:
value: to momentum operators
type: OTHER
value: to the usual position
type: OTHER
value: under automorphism
type: OTHER
Source sentences:
text: All the non-identity elements are equivalent under automorphism.
text: Abstractly, the reason is the Stone–von Neumann theorem: there is a unique unitary representation with given action of the central Lie algebra element z, up to a unitary equivalence: the nontrivial elements of the algebra are all equivalent to the usual position and momentum operators.