2024-03-29T06:10:52Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/697172022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Time Operators of a Hamiltonian with Purely Discrete SpectrumArai, AsaoMatsuzawa, Yasumichicanonical commutation relationHamiltoniantime operatortime-energy uncertainty relationphase operatorspectrumregular perturbation theory410We develop a mathematical theory of time operators of a Hamiltonian with urely discrete spectrum. The main results include boundedness, unboundedness nd spectral properties of them. In addition, possible connections of a time operator f H with regular perturbation theory are discussed.Department of Mathematics, Hokkaido UniversityDepartmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/69717info:doi/10.14943/84059https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69717/1/pre909.pdfHokkaido University Preprint Series in Mathematics9091282008-04-25engpublisher