A Note on Time Operators
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We construct a time operator of a self-adjoint operator H with finite dimensional CCR-domain. As corollaries, we show that there exists a time operator of H with infinite dimensional CCR-domain. Moreover, we construct a time operator of H with dense CCR-domain if there is a complete orthonormal systems which consists of eigenvectors of H.
Keywordscanonical commutation relation time operator eigenvalue
Mathematics Subject Classification81Q10 47N50
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