Letters in Mathematical Physics

, Volume 106, Issue 9, pp 1259–1263 | Cite as

A Note on Time Operators

  • Noriaki Teranishi


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.


canonical commutation relation time operator eigenvalue 

Mathematics Subject Classification

81Q10 47N50 


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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Department of MathematicsHokkaido UniversitySapporoJapan

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