The number of eigenvalues for an Hamiltonian in Fock space

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dc.creatorAlbeverio, Sergio
dc.creatorLakaev, Saidakhmat N.
dc.creatorRasulov, Tulkin H.
dc.date2005-01-12
dc.date.accessioned2026-07-07T04:31:49Z
dc.date.available2026-07-07T04:31:49Z
dc.descriptionA model operator $H$ corresponding to the energy operator of a system with non-conserved number $n\leq 3$ of particles is considered. The precise location and structure of the essential spectrum of $H$ is described. The existence of infinitely many eigenvalues below the bottom of the essential spectrum of $H$ is proved if the generalized Friedrichs model has a virtual level at the bottom of the essential spectrum and for the number $N(z)$ of eigenvalues below $z<0$ an asymptotics established. The finiteness of eigenvalues of $H$ below the bottom of the essential spectrum is proved if the generalized Friedrichs model has a zero eigenvalue at the bottom of its essential spectrum.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0501037
dc.identifierhttp://arxiv.org/abs/math-ph/0501037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57957
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subjectPrimary: 81Q10, Secondary: 35P20, 47N50
dc.titleThe number of eigenvalues for an Hamiltonian in Fock space
dc.typetext

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