Essential spectrum of a self-adjoint operator on an abstract Hilbert space of Fock type and applications to quantum field Hamiltonians

DOI10.1006/jmaa.2000.6782zbMath0965.47015OpenAlexW2056059098MaRDI QIDQ1577977

Asao Arai

Publication date: 27 August 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2115/69195

zbMATH Keywords

second quantizationtensor productsymmetric operatorPauli-Fierz modelspin-boson modelquantum field modelsBosonic Fock spaceinjective self-adjoint operatorlocation of the essential spectrum

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

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