On the spectrum of an operator in truncated Fock space
classification
🧮 math.SP
keywords
spectrumoperatoressentialanalysisanalyticarisingbelowbosons
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We study the spectrum of an operator matrix arising in the spectral analysis of the energy operator of the spin-boson model of radioactive decay with two bosons on the torus. An analytic description of the essential spectrum is established. Further, a criterion for the finiteness of the number of eigenvalues below the bottom of the essential spectrum is derived.
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