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Construction of a Weyl Representation from a Weak Weyl Representation of the Canonical Commutation Relation

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84038

Title: Construction of a Weyl Representation from a Weak Weyl Representation of the Canonical Commutation Relation
Authors: Arai, Asao Browse this author
Matsuzawa, Yasumichi Browse this author
Keywords: canonical commutation relation
weak Weyl representation
Weyl representation
Hamiltonian
time operator
spectrum
Issue Date: 10-Jan-2008
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 888
Start Page: 1
End Page: 11
Abstract: Weak 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.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69697
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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