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

Arai, Asao

pp.31 - 53 , 2017-05 , European Mathematical Society
ISBN:9783037191750
内容記述
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.
Functional analysis and operator theory for quantum physics
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https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/68217/1/Arai-Dirac.pdf

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