Inequivalence of quantum Dirac fields of different masses and the underlying general structures involved

Arai, Asao

2017, 31-53

Permalink : https://hdl.handle.net/2115/68217

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アクセス権	open access
URI	https://hdl.handle.net/2115/68217
タイトル	Inequivalence of quantum Dirac fields of different masses and the underlying general structures involved
著者	e-Rad_Researcher 80134807 著者名 Arai, Asao
言語	英語
キーワード	Canonical anticommutation relations
	fermion Fock space
	inequivalent representation
	mass
	quantum Dirac field
発行日	2017-05
出版者	European Mathematical Society
ページ	31-53
抄録	A family of irreducible representations of the canonical anticommutation relations over an abstract Hilbert space indexed by a set of bounded linear operators is presented and a theorem on the mutual equivalence of them is established. As an application of the theorem, it is proved that quantum Dirac fields of different masses are mutually inequivalent. Moreover, a new class of irreducible representations of the CAR over a Hilbert space, which includes, as a special case, time-zero quantum Dirac fields, is constructed.
資源タイプ	図書（部分）
出版タイプ	Accepted Manuscript
関連情報	ISBN 9783037191750
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.4171/175-1/2
関連情報 (isPartOf)	Title Functional analysis and operator theory for quantum physics