Abstract
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.
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Teranishi, N. A Note on Time Operators. Lett Math Phys 106, 1259–1263 (2016). https://doi.org/10.1007/s11005-016-0869-z
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DOI: https://doi.org/10.1007/s11005-016-0869-z