Lower Spectral Branches of a Spin-Boson Model

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dc.creatorAngelescu, Nicolae
dc.creatorMinlos, Robert
dc.creatorRuiz, Jean
dc.creatorZagrebnov, Valentin
dc.date2007-04-25
dc.date2008-10-28
dc.date.accessioned2026-07-07T10:13:07Z
dc.date.available2026-07-07T10:13:07Z
dc.descriptionWe study the structure of the spectrum of a two-level quantum system weakly coupled to a boson field (spin-boson model). Our analysis allows to avoid the cutoff in the number of bosons, if their spectrum is bounded below by a positive constant. We show that, for small coupling constant, the lower part of the spectrum of the spin-boson Hamiltonian contains (one or two) isolated eigenvalues and (respectively, one or two) manifolds of atom $+ 1$-boson states indexed by the boson momentum $q$. The dispersion laws and generalized eigenfunctions of the latter are calculated.
dc.identifierhttps://arxiv.org/abs/0704.3445
dc.identifierhttp://arxiv.org/abs/0704.3445
dc.identifierJournal of Mathematical Physics 49 (2008) 102105
dc.identifierdoi:10.1063/1.2987721
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172418
dc.subjectStatistical Mechanics
dc.subjectMathematical Physics
dc.titleLower Spectral Branches of a Spin-Boson Model
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