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Is there a theorem that says if
[tex][a, a^\dagger] = [b, b^\dagger] = 1[/tex]
then there is a unitary operator U such that
[tex]b = UaU^\dagger[/tex]
?
[tex][a, a^\dagger] = [b, b^\dagger] = 1[/tex]
then there is a unitary operator U such that
[tex]b = UaU^\dagger[/tex]
?