- #1
victorvmotti
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- TL;DR Summary
- Using unitary groups looking for new observables
I have been following the proof of the Stone's theorem on one-parameter unitary groups.
The question is if the current list of self-adjoint operators used in quantum mechanics, including position and momentum operators, is exhaustive or not?
Put it another way, can we say that there is no other one-parameter unitary groups, that can give us yet new self-adjoint operators, in addition to position and momentum ones, and therefore new observables?
The question is if the current list of self-adjoint operators used in quantum mechanics, including position and momentum operators, is exhaustive or not?
Put it another way, can we say that there is no other one-parameter unitary groups, that can give us yet new self-adjoint operators, in addition to position and momentum ones, and therefore new observables?