2024-03-29T07:03:26Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696972022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Construction of a Weyl Representation from a Weak Weyl Representation of the Canonical Commutation RelationArai, AsaoMatsuzawa, Yasumichiopen accesscanonical commutation relationweak Weyl representationWeyl representationHamiltoniantime operatorspectrum410Weak Weyl representations of the canonical commutation relation (CCR) with one degree of freedom are considered in relation to the theory of time operator in quantum mechanics. It is proven that there exists a general structure through which a weak Weyl representation can be constructed from a given weak Weyl representation. As a corollary, it is shown that a Weyl representation of the CCR can be constructed from a weak Weyl representation which satisfies some additional property. Some examples are given.Department of Mathematics, Hokkaido University2008-01-10engdepartmental bulletin paperVoRhttps://doi.org/10.14943/84038http://hdl.handle.net/2115/6969710.14943/84038Hokkaido University Preprint Series in Mathematics888111https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69697/1/pre888.pdfapplication/pdf79.43 KB2008-01-10